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101020212312 = 233231791022389
BaseRepresentation
bin101111000010101000…
…1100001110001011000
3100122202021100111102220
41132011101201301120
53123342133243222
6114224045424040
710204242431265
oct1360521416130
9318667314386
10101020212312
113992a304778
12176b356b020
1396abca5876
144c6475026c
152963aaeb5c
hex1785461c58

101020212312 has 64 divisors (see below), whose sum is σ = 265003488000. Its totient is φ = 32029371264.

The previous prime is 101020212283. The next prime is 101020212347. The reversal of 101020212312 is 213212020101.

101020212312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 101020212291 and 101020212300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 412387 + ... + 610002.

It is an arithmetic number, because the mean of its divisors is an integer number (4140679500).

Almost surely, 2101020212312 is an apocalyptic number.

101020212312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101020212312 is an abundant number, since it is smaller than the sum of its proper divisors (163983275688).

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

101020212312 is a wasteful number, since it uses less digits than its factorization.

101020212312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022600 (or 1022596 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 101020212312 its reverse (213212020101), we get a palindrome (314232232413).

The spelling of 101020212312 in words is "one hundred one billion, twenty million, two hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 179 184 276 358 537 552 716 1074 1432 2148 4117 4296 8234 12351 16468 24702 32936 49404 98808 1022389 2044778 3067167 4089556 6134334 8179112 12268668 23514947 24537336 47029894 70544841 94059788 141089682 183007631 188119576 282179364 366015262 549022893 564358728 732030524 1098045786 1464061048 2196091572 4209175513 4392183144 8418351026 12627526539 16836702052 25255053078 33673404104 50510106156 101020212312