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1020210112212 = 2233713165326861
BaseRepresentation
bin11101101100010010100…
…00101110011011010100
310121112100012022111111120
432312021100232123110
5113203342242042322
62100402243203540
7133464520604664
oct16661120563324
93545305274446
101020210112212
1136373a014375
121458823765b0
137528935b415
14375425c41a4
151b810b87a5c
hexed8942e6d4

1020210112212 has 96 divisors (see below), whose sum is σ = 2467355071104. Its totient is φ = 327838118400.

The previous prime is 1020210112199. The next prime is 1020210112213. The reversal of 1020210112212 is 2122110120201.

1020210112212 is digitally balanced in base 2, 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 = 1020210112191 and 1020210112200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020210112213) 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, 37967662 + ... + 37994522.

It is an arithmetic number, because the mean of its divisors is an integer number (25701615324).

Almost surely, 21020210112212 is an apocalyptic number.

1020210112212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020210112212 is an abundant number, since it is smaller than the sum of its proper divisors (1447144958892).

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

1020210112212 is a wasteful number, since it uses less digits than its factorization.

1020210112212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27689 (or 27687 counting only the distinct ones).

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

Adding to 1020210112212 its reverse (2122110120201), we get a palindrome (3142320232413).

The spelling of 1020210112212 in words is "one trillion, twenty billion, two hundred ten million, one hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 37 74 111 131 148 222 262 393 444 524 653 786 1306 1572 1959 2612 3918 4847 7836 9694 14541 19388 24161 26861 29082 48322 53722 58164 72483 80583 85543 96644 107444 144966 161166 171086 256629 289932 322332 342172 513258 993857 1026516 1987714 2981571 3165091 3518791 3975428 5963142 6330182 7037582 9495273 10556373 11926284 12660364 14075164 17540233 18990546 21112746 35080466 37981092 42225492 52620699 70160932 105241398 130195267 210482796 260390534 390585801 520781068 648988621 781171602 1297977242 1562343204 1946965863 2297770523 2595954484 3893931726 4595541046 6893311569 7787863452 9191082092 13786623138 27573246276 85017509351 170035018702 255052528053 340070037404 510105056106 1020210112212