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3421121310 = 23251721031277
BaseRepresentation
bin1100101111101010…
…0010101100011110
322211102102222011200
43023322202230132
524001301340220
61323250300330
7150531023415
oct31372425436
98742388150
103421121310
1114a6152092
127b58876a6
13426a0c749
1424650847c
1515052a890
hexcbea2b1e

3421121310 has 144 divisors (see below), whose sum is σ = 9548132256. Its totient is φ = 849632256.

The previous prime is 3421121203. The next prime is 3421121321. The reversal of 3421121310 is 131211243.

3421121310 is a `hidden beast` number, since 342 + 1 + 12 + 1 + 310 = 666.

It is a super-2 number, since 2×34211213102 = 23408142035472232200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2678392 + ... + 2679668.

It is an arithmetic number, because the mean of its divisors is an integer number (66306474).

Almost surely, 23421121310 is an apocalyptic number.

3421121310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3421121310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4774066128).

3421121310 is an abundant number, since it is smaller than the sum of its proper divisors (6127010946).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3421121310 is a wasteful number, since it uses less digits than its factorization.

3421121310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1427 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 3421121310 is about 58490.3522813806. The cubic root of 3421121310 is about 1506.8018961840.

Adding to 3421121310 its reverse (131211243), we get a palindrome (3552332553).

The spelling of 3421121310 in words is "three billion, four hundred twenty-one million, one hundred twenty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 103 153 170 206 255 289 306 309 510 515 578 618 765 867 927 1030 1277 1445 1530 1545 1734 1751 1854 2554 2601 2890 3090 3502 3831 4335 4635 5202 5253 6385 7662 8670 8755 9270 10506 11493 12770 13005 15759 17510 19155 21709 22986 26010 26265 29767 31518 38310 43418 52530 57465 59534 65127 78795 89301 108545 114930 130254 131531 148835 157590 178602 195381 217090 263062 267903 297670 325635 369053 390762 394593 446505 535806 651270 657655 738106 789186 893010 976905 1107159 1183779 1315310 1339515 1845265 1953810 1972965 2214318 2236027 2367558 2679030 3321477 3690530 3945930 4472054 5535795 5918895 6642954 6708081 11071590 11180135 11837790 13416162 16607385 20124243 22360270 33214770 33540405 38012459 40248486 67080810 76024918 100621215 114037377 190062295 201242430 228074754 342112131 380124590 570186885 684224262 1140373770 1710560655 3421121310