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1301212220 = 22571136983
BaseRepresentation
bin100110110001110…
…1110110000111100
310100200110102121012
41031203232300330
510131102242340
6333041254352
744150056430
oct11543566074
93320412535
101301212220
11608556000
123039343b8
13179770979
14c4b589c0
157937e565
hex4d8eec3c

1301212220 has 96 divisors (see below), whose sum is σ = 3435457536. Its totient is φ = 405514560.

The previous prime is 1301212219. The next prime is 1301212229. The reversal of 1301212220 is 222121031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1301212195 and 1301212204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301212229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182849 + ... + 189831.

It is an arithmetic number, because the mean of its divisors is an integer number (35786016).

Almost surely, 21301212220 is an apocalyptic number.

1301212220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1301212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717728768).

1301212220 is an abundant number, since it is smaller than the sum of its proper divisors (2134245316).

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

1301212220 is a wasteful number, since it uses less digits than its factorization.

1301212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7032 (or 7008 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1301212220 is about 36072.3193044196. The cubic root of 1301212220 is about 1091.7320105659.

Adding to 1301212220 its reverse (222121031), we get a palindrome (1523333251).

The spelling of 1301212220 in words is "one billion, three hundred one million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 121 140 154 220 242 308 385 484 605 770 847 1210 1331 1540 1694 2420 2662 3388 4235 5324 6655 6983 8470 9317 13310 13966 16940 18634 26620 27932 34915 37268 46585 48881 69830 76813 93170 97762 139660 153626 186340 195524 244405 307252 384065 488810 537691 768130 844943 977620 1075382 1536260 1689886 2150764 2688455 3379772 4224715 5376910 5914601 8449430 9294373 10753820 11829202 16898860 18588746 23658404 29573005 37177492 46471865 59146010 65060611 92943730 118292020 130121222 185887460 260242444 325303055 650606110 1301212220