Search a number
-
+
10021202112012 = 22371341921901969
BaseRepresentation
bin1001000111010011111000…
…1100010010111000001100
31022111000110210202010202020
42101310332030102320030
52303141410220041022
633151402055530140
72053002505334040
oct221647614227014
938430423663666
1010021202112012
113213a71381643
12115a214389950
13578cc28b6a30
14269058d34020
15125a1b4b535c
hex91d3e312e0c

10021202112012 has 96 divisors (see below), whose sum is σ = 28847522726400. Its totient is φ = 2636646515712.

The previous prime is 10021202111989. The next prime is 10021202112013. The reversal of 10021202112012 is 21021120212001.

It is a junction number, because it is equal to n+sod(n) for n = 10021202111982 and 10021202112000.

It is not an unprimeable number, because it can be changed into a prime (10021202112013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10493437 + ... + 11408532.

It is an arithmetic number, because the mean of its divisors is an integer number (300495028400).

Almost surely, 210021202112012 is an apocalyptic number.

10021202112012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10021202112012 is an abundant number, since it is smaller than the sum of its proper divisors (18826320614388).

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

10021202112012 is a wasteful number, since it uses less digits than its factorization.

10021202112012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21902415 (or 21902413 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10021202112012 its reverse (21021120212001), we get a palindrome (31042322324013).

The spelling of 10021202112012 in words is "ten trillion, twenty-one billion, two hundred two million, one hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 419 546 838 1092 1257 1676 2514 2933 5028 5447 5866 8799 10894 11732 16341 17598 21788 32682 35196 38129 65364 76258 114387 152516 228774 457548 21901969 43803938 65705907 87607876 131411814 153313783 262823628 284725597 306627566 459941349 569451194 613255132 854176791 919882698 1138902388 1708353582 1839765396 1993079179 3416707164 3986158358 5979237537 7972316716 9176925011 11958475074 18353850022 23916950148 27530775033 36707700044 55061550066 64238475077 110123100132 119300025143 128476950154 192715425231 238600050286 256953900308 357900075429 385430850462 477200100572 715800150858 770861700924 835100176001 1431600301716 1670200352002 2505300528003 3340400704004 5010601056006 10021202112012