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10120403220 = 22353121432539
BaseRepresentation
bin10010110110011100…
…10001100100010100
3222010022022202021220
421123032101210110
5131211310400340
64352123210340
7505536002514
oct113316214424
928108282256
1010120403220
114323781804
121b653769b0
13c53925a95
146c0145844
153e3742ed0
hex25b391914

10120403220 has 96 divisors (see below), whose sum is σ = 29276405760. Its totient is φ = 2609470080.

The previous prime is 10120403201. The next prime is 10120403221. The reversal of 10120403220 is 2230402101.

It is a super-2 number, since 2×101204032202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10120403220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120403221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3984711 + ... + 3987249.

It is an arithmetic number, because the mean of its divisors is an integer number (304962560).

Almost surely, 210120403220 is an apocalyptic number.

10120403220 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 10120403220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14638202880).

10120403220 is an abundant number, since it is smaller than the sum of its proper divisors (19156002540).

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

10120403220 is a wasteful number, since it uses less digits than its factorization.

10120403220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4725 (or 4723 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10120403220 its reverse (2230402101), we get a palindrome (12350805321).

The spelling of 10120403220 in words is "ten billion, one hundred twenty million, four hundred three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 2143 2539 4286 5078 6429 7617 8572 10156 10715 12695 12858 15234 21430 25390 25716 30468 32145 38085 42860 50780 64290 66433 76170 78709 128580 132866 152340 157418 199299 236127 265732 314836 332165 393545 398598 472254 664330 787090 797196 944508 996495 1180635 1328660 1574180 1992990 2361270 3985980 4722540 5441077 10882154 16323231 21764308 27205385 32646462 54410770 65292924 81616155 108821540 163232310 168673387 326464620 337346774 506020161 674693548 843366935 1012040322 1686733870 2024080644 2530100805 3373467740 5060201610 10120403220