Search a number
-
+
100010120020122 = 23134393287319639
BaseRepresentation
bin10110101111010101101011…
…101011011000000010011010
3111010002212121012220211001210
4112233111223223120002122
5101102031211211120442
6552412003113523550
730031331001661134
oct2657255353300232
9433085535824053
10100010120020122
1129959065547074
12b27276aa135b6
1343a5bb5966530
141a9a730c98054
15b8675ce8919c
hex5af56bad809a

100010120020122 has 64 divisors (see below), whose sum is σ = 220418916157440. Its totient is φ = 30056292471744.

The previous prime is 100010120020117. The next prime is 100010120020133. The reversal of 100010120020122 is 221020021010001.

It is a junction number, because it is equal to n+sod(n) for n = 100010120020098 and 100010120020107.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 312724779 + ... + 313044417.

It is an arithmetic number, because the mean of its divisors is an integer number (3444045564960).

Almost surely, 2100010120020122 is an apocalyptic number.

100010120020122 is an abundant number, since it is smaller than the sum of its proper divisors (120408796137318).

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

100010120020122 is a wasteful number, since it uses less digits than its factorization.

100010120020122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412987.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100010120020122 its reverse (221020021010001), we get a palindrome (321030141030123).

The spelling of 100010120020122 in words is "one hundred trillion, ten billion, one hundred twenty million, twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 43 78 86 129 258 559 1118 1677 3354 93287 186574 279861 319639 559722 639278 958917 1212731 1917834 2425462 3638193 4011341 4155307 7276386 8022682 8310614 12034023 12465921 13744477 24068046 24931842 27488954 41233431 52147433 82466862 104294866 156442299 178678201 312884598 357356402 536034603 1072069206 29818163393 59636326786 89454490179 178908980358 387636124109 775272248218 1162908372327 1282181025899 2325816744654 2564362051798 3846543077697 7693086155394 16668353336687 33336706673374 50005060010061 100010120020122