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10123312122 = 234711811553
BaseRepresentation
bin10010110110110010…
…10111101111111010
3222010111210112120000
421123121113233322
5131213031441442
64352305413430
7505602506340
oct113331275772
928114715500
1010123312122
114325389260
121b6633a276
13c54403b21
146c06a1990
153e3b19d4c
hex25b657bfa

10123312122 has 80 divisors (see below), whose sum is σ = 28281033792. Its totient is φ = 2629428480.

The previous prime is 10123312097. The next prime is 10123312139. The reversal of 10123312122 is 22121332101.

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

It is a junction number, because it is equal to n+sod(n) for n = 10123312095 and 10123312104.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 393303 + ... + 418250.

Almost surely, 210123312122 is an apocalyptic number.

10123312122 is an abundant number, since it is smaller than the sum of its proper divisors (18157721670).

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

10123312122 is a wasteful number, since it uses less digits than its factorization.

10123312122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811585 (or 811576 counting only the distinct ones).

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

Adding to 10123312122 its reverse (22121332101), we get a palindrome (32244644223).

The spelling of 10123312122 in words is "ten billion, one hundred twenty-three million, three hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 81 99 126 154 162 189 198 231 297 378 462 567 594 693 891 1134 1386 1782 2079 4158 6237 12474 811553 1623106 2434659 4869318 5680871 7303977 8927083 11361742 14607954 17042613 17854166 21911931 26781249 34085226 43823862 51127839 53562498 62489581 65735793 80343747 102255678 124979162 131471586 153383517 160687494 187468743 241031241 306767034 374937486 460150551 482062482 562406229 723093723 920301102 1124812458 1446187446 1687218687 3374437374 5061656061 10123312122