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211231100102112 = 25331714381202349
BaseRepresentation
bin110000000001110100010010…
…101011111110010111100000
31000200220111101112220022011000
4300001310102223332113200
5210141302243111231422
62025130121110152000
762330641401123606
oct6001642253762740
91020814345808130
10211231100102112
1161339674251492
121b836004052600
1390b3012c8248c
143a238d584d876
15196491419ccac
hexc01d12afe5e0

211231100102112 has 96 divisors (see below), whose sum is σ = 652331338596000. Its totient is φ = 66268580419584.

The previous prime is 211231100102081. The next prime is 211231100102137. The reversal of 211231100102112 is 211201001132112.

It is a happy number.

211231100102112 is a `hidden beast` number, since 211 + 231 + 1 + 0 + 0 + 10 + 211 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 7190586487 + ... + 7190615862.

It is an arithmetic number, because the mean of its divisors is an integer number (6795118110375).

Almost surely, 2211231100102112 is an apocalyptic number.

It is an amenable number.

211231100102112 is an abundant number, since it is smaller than the sum of its proper divisors (441100238493888).

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

211231100102112 is a wasteful number, since it uses less digits than its factorization.

211231100102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14381202385 (or 14381202371 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 211231100102112 its reverse (211201001132112), we get a palindrome (422432101234224).

The spelling of 211231100102112 in words is "two hundred eleven trillion, two hundred thirty-one billion, one hundred million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 288 306 408 432 459 544 612 816 864 918 1224 1632 1836 2448 3672 4896 7344 14688 14381202349 28762404698 43143607047 57524809396 86287214094 115049618792 129430821141 172574428188 230099237584 244480439933 258861642282 345148856376 388292463423 460198475168 488960879866 517723284564 690297712752 733441319799 776584926846 977921759732 1035446569128 1380595425504 1466882639598 1553169853692 1955843519464 2070893138256 2200323959397 2933765279196 3106339707384 3911687038928 4141786276512 4400647918794 5867530558392 6212679414768 6600971878191 7823374077856 8801295837588 11735061116784 12425358829536 13201943756382 17602591675176 23470122233568 26403887512764 35205183350352 52807775025528 70410366700704 105615550051056 211231100102112