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3134132010 = 23251011731993
BaseRepresentation
bin1011101011001111…
…0000111100101010
322002102102101212100
42322303300330222
522404314211020
61234555154230
7140444453052
oct27263607452
98072371770
103134132010
111369154849
12735745976
133ac4189a9
1421a360562
1513523ba90
hexbacf0f2a

3134132010 has 96 divisors (see below), whose sum is σ = 8281145808. Its totient is φ = 822297600.

The previous prime is 3134131999. The next prime is 3134132021. The reversal of 3134132010 is 102314313.

3134132010 is a `hidden beast` number, since 3 + 1 + 341 + 320 + 1 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3134131999) and next prime (3134132021).

It can be written as a sum of positive squares in 8 ways, for example, as 3007096569 + 127035441 = 54837^2 + 11271^2 .

It is a super-2 number, since 2×31341320102 = 19645566912213280200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1571574 + ... + 1573566.

Almost surely, 23134132010 is an apocalyptic number.

3134132010 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 3134132010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4140572904).

3134132010 is an abundant number, since it is smaller than the sum of its proper divisors (5147013798).

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

3134132010 is a wasteful number, since it uses less digits than its factorization.

3134132010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2280 (or 2277 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3134132010 is about 55983.3190334407. The cubic root of 3134132010 is about 1463.4315993092.

Adding to 3134132010 its reverse (102314313), we get a palindrome (3236446323).

The spelling of 3134132010 in words is "three billion, one hundred thirty-four million, one hundred thirty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 173 202 303 346 505 519 606 865 909 1010 1038 1515 1557 1730 1818 1993 2595 3030 3114 3986 4545 5190 5979 7785 9090 9965 11958 15570 17473 17937 19930 29895 34946 35874 52419 59790 87365 89685 104838 157257 174730 179370 201293 262095 314514 344789 402586 524190 603879 689578 786285 1006465 1034367 1207758 1572570 1723945 1811637 2012930 2068734 3019395 3103101 3447890 3623274 5171835 6038790 6206202 9058185 10343670 15515505 18116370 31031010 34823689 69647378 104471067 174118445 208942134 313413201 348236890 522355335 626826402 1044710670 1567066005 3134132010