Search a number
-
+
101420551020252 = 2231910940511007401
BaseRepresentation
bin10111000011110111001111…
…111010101001111011011100
3111022002201011120200022200210
4113003313033322221323130
5101243133242030122002
6555411542525052420
730235251541450242
oct2703671772517334
9438081146608623
10101420551020252
112a35223a028122
12b45bb953b7110
134478bbc634419
141b08ad097a792
15bad2abc4096c
hex5c3dcfea9edc

101420551020252 has 96 divisors (see below), whose sum is σ = 251450762886400. Its totient is φ = 31725846720000.

The previous prime is 101420551020247. The next prime is 101420551020301. The reversal of 101420551020252 is 252020155024101.

It is a super-2 number, since 2×1014205510202522 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 100171752 + ... + 101179152.

Almost surely, 2101420551020252 is an apocalyptic number.

101420551020252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101420551020252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125725381443200).

101420551020252 is an abundant number, since it is smaller than the sum of its proper divisors (150030211866148).

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

101420551020252 is a wasteful number, since it uses less digits than its factorization.

101420551020252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011587 (or 1011585 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The spelling of 101420551020252 in words is "one hundred one trillion, four hundred twenty billion, five hundred fifty-one million, twenty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 109 114 218 228 327 436 654 1308 2071 4051 4142 6213 8102 8284 12153 12426 16204 24306 24852 48612 76969 153938 230907 307876 441559 461814 883118 923628 1007401 1324677 1766236 2014802 2649354 3022203 4029604 5298708 6044406 8389621 12088812 16779242 19140619 25168863 33558484 38281238 50337726 57421857 76562476 100675452 109806709 114843714 219613418 229687428 329420127 439226836 658840254 1317680508 2086327471 4080981451 4172654942 6258982413 8161962902 8345309884 12242944353 12517964826 16323925804 24485888706 25035929652 48971777412 77538647569 155077295138 232615942707 310154590276 444826978159 465231885414 889653956318 930463770828 1334480934477 1779307912636 2668961868954 5337923737908 8451712585021 16903425170042 25355137755063 33806850340084 50710275510126 101420551020252