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101022223122 = 23279347204733
BaseRepresentation
bin101111000010101100…
…1001100101100010010
3100122202102010122202100
41132011121030230102
53123343142114442
6114224200501230
710204265504562
oct1360531145422
9318672118670
10101022223122
11399304584a7
12176b417a816
1396ac52abb2
144c64b14da2
152963d5a84c
hex178564cb12

101022223122 has 48 divisors (see below), whose sum is σ = 222291987840. Its totient is φ = 33151843296.

The previous prime is 101022223117. The next prime is 101022223157. The reversal of 101022223122 is 221322220101.

It is a super-2 number, since 2×1010222231222 (a number of 23 digits) contains 22 as substring.

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 = 101022223095 and 101022223104.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 391068 + ... + 595800.

It is an arithmetic number, because the mean of its divisors is an integer number (4631083080).

Almost surely, 2101022223122 is an apocalyptic number.

101022223122 is an abundant number, since it is smaller than the sum of its proper divisors (121269764718).

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

101022223122 is a wasteful number, since it uses less digits than its factorization.

101022223122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205167 (or 205164 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 101022223122 its reverse (221322220101), we get a palindrome (322344443223).

The spelling of 101022223122 in words is "one hundred one billion, twenty-two million, two hundred twenty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 79 158 237 347 474 694 711 1041 1422 2082 3123 6246 27413 54826 82239 164478 204733 246717 409466 493434 614199 1228398 1842597 3685194 16173907 32347814 48521721 71042351 97043442 142084702 145565163 213127053 291130326 426254106 639381159 1278762318 5612345729 11224691458 16837037187 33674074374 50511111561 101022223122