Search a number
-
+
100200101122112 = 2623382317805577
BaseRepresentation
bin10110110010000110100111…
…011011110001000001000000
3111010210000222022212202020112
4112302012213123301001000
5101113134301341401422
6553035142504130452
730051134625464015
oct2662064733610100
9433700868782215
10100200101122112
1129a21695965972
12b2a354b166a28
1343baaa13ac594
141aa59d44d770c
15b8b67ba6aee2
hex5b21a76f1040

100200101122112 has 56 divisors (see below), whose sum is σ = 207533840269056. Its totient is φ = 47909249676288.

The previous prime is 100200101122111. The next prime is 100200101122129. The reversal of 100200101122112 is 211221101002001.

It is not an unprimeable number, because it can be changed into a prime (100200101122111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3275333 + ... + 14530244.

It is an arithmetic number, because the mean of its divisors is an integer number (3705961433376).

Almost surely, 2100200101122112 is an apocalyptic number.

It is an amenable number.

100200101122112 is an abundant number, since it is smaller than the sum of its proper divisors (107333739146944).

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

100200101122112 is a wasteful number, since it uses less digits than its factorization.

100200101122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17809435 (or 17809425 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100200101122112 its reverse (211221101002001), we get a palindrome (311421202124113).

The spelling of 100200101122112 in words is "one hundred trillion, two hundred billion, one hundred one million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 736 1472 3823 7646 15292 30584 61168 87929 122336 175858 244672 351716 703432 1406864 2813728 5627456 17805577 35611154 71222308 142444616 284889232 409528271 569778464 819056542 1139556928 1638113084 3276226168 6552452336 13104904672 26209809344 68070720871 136141441742 272282883484 544565766968 1089131533936 1565626580033 2178263067872 3131253160066 4356526135744 6262506320132 12525012640264 25050025280528 50100050561056 100200101122112