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102222100100022 = 237172271116156509
BaseRepresentation
bin10111001111100001101111…
…111101101111001110110110
3111101221100002220200110122020
4113033201233331233032312
5101344301330111200042
61001224103503414010
730350205635302650
oct2717415775571666
9441840086613566
10102222100100022
112a631170644431
12b56b3b25b4306
13450666c4c8636
141b3580c93d6d0
15bc40710243ec
hex5cf86ff6f3b6

102222100100022 has 128 divisors (see below), whose sum is σ = 248511168046080. Its totient is φ = 27364265717760.

The previous prime is 102222100100011. The next prime is 102222100100051. The reversal of 102222100100022 is 220001001222201.

It is a junction number, because it is equal to n+sod(n) for n = 102222100099974 and 102222100100010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1808924304 + ... + 1808980812.

It is an arithmetic number, because the mean of its divisors is an integer number (1941493500360).

Almost surely, 2102222100100022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102222100100022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124255584023040).

102222100100022 is an abundant number, since it is smaller than the sum of its proper divisors (146289067946058).

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

102222100100022 is a wasteful number, since it uses less digits than its factorization.

102222100100022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67926.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102222100100022 its reverse (220001001222201), we get a palindrome (322223101322223).

The spelling of 102222100100022 in words is "one hundred two trillion, two hundred twenty-two billion, one hundred million, one hundred thousand, twenty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 227 238 357 454 681 714 1362 1589 3178 3859 4767 7718 9534 11161 11577 22322 23154 27013 33483 54026 56509 66966 78127 81039 113018 156254 162078 169527 189737 234381 339054 379474 395563 468762 569211 791126 960653 1138422 1186689 1328159 1921306 2373378 2533547 2656318 2881959 3984477 5067094 5763918 6724571 7600641 7968954 12827543 13449142 15201282 17734829 20173713 25655086 35469658 38482629 40347426 43070299 53204487 76965258 86140598 89792801 106408974 129210897 179585602 218068231 258421794 269378403 301492093 436136462 538756806 602984186 630696949 654204693 904476279 1261393898 1308409386 1526477617 1808952558 1892090847 3052955234 3784181694 4414878643 4579432851 8829757286 9158865702 10721848133 13244635929 21443696266 26489271858 32165544399 64331088798 75052936931 143168207423 150105873862 225158810793 286336414846 429504622269 450317621586 859009244538 1002177451961 2004354903922 2433859526191 3006532355883 4867719052382 6013064711766 7301578578573 14603157157146 17037016683337 34074033366674 51111050050011 102222100100022