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10222122130 = 25112910131727
BaseRepresentation
bin10011000010100100…
…10011010010010010
3222101101201121101221
421201102103102102
5131413330402010
64410155315254
7511212414223
oct114122232222
928341647357
1010222122130
114376137720
121b9344bb2a
13c6ba1ba9c
146cd86324a
153ec636dda
hex261493492

10222122130 has 64 divisors (see below), whose sum is σ = 20970938880. Its totient is φ = 3553312000.

The previous prime is 10222122089. The next prime is 10222122149. The reversal of 10222122130 is 3122122201.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 306327 + ... + 338053.

It is an arithmetic number, because the mean of its divisors is an integer number (327670920).

Almost surely, 210222122130 is an apocalyptic number.

10222122130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10222122130 is an abundant number, since it is smaller than the sum of its proper divisors (10748816750).

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

10222122130 is a wasteful number, since it uses less digits than its factorization.

10222122130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31875.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10222122130 its reverse (3122122201), we get a palindrome (13344244331).

The spelling of 10222122130 in words is "ten billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred thirty".

Divisors: 1 2 5 10 11 22 29 55 58 101 110 145 202 290 319 505 638 1010 1111 1595 2222 2929 3190 5555 5858 11110 14645 29290 31727 32219 63454 64438 158635 161095 317270 322190 348997 697994 920083 1744985 1840166 3204427 3489970 4600415 6408854 9200830 10120913 16022135 20241826 32044270 35248697 50604565 70497394 92928383 101209130 176243485 185856766 352486970 464641915 929283830 1022212213 2044424426 5111061065 10222122130