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213233210231112 = 233337137319432507
BaseRepresentation
bin110000011110111100111001…
…110000000000100101001000
31000221222220012001022210221000
4300132330321300000211020
5210422103103304343422
62033301552350415000
762625406505333361
oct6036747160004510
91027886161283830
10213233210231112
1161a40773219435
121baba036801460
1391c9a6173cb96
143a92784664b68
15199ba42543cac
hexc1ef39c00948

213233210231112 has 128 divisors (see below), whose sum is σ = 608766064617600. Its totient is φ = 69106344217344.

The previous prime is 213233210231089. The next prime is 213233210231143. The reversal of 213233210231112 is 211132012332312.

213233210231112 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 332 + 1 + 0 + 2 + 311 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1256763 + ... + 20689269.

It is an arithmetic number, because the mean of its divisors is an integer number (4755984879825).

Almost surely, 2213233210231112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213233210231112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304383032308800).

213233210231112 is an abundant number, since it is smaller than the sum of its proper divisors (395532854386488).

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

213233210231112 is a wasteful number, since it uses less digits than its factorization.

213233210231112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19433932 (or 19433922 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 213233210231112 its reverse (211132012332312), we get a palindrome (424365222563424).

The spelling of 213233210231112 in words is "two hundred thirteen trillion, two hundred thirty-three billion, two hundred ten million, two hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 108 111 148 216 222 296 333 444 666 888 999 1332 1373 1998 2664 2746 3996 4119 5492 7992 8238 10984 12357 16476 24714 32952 37071 49428 50801 74142 98856 101602 148284 152403 203204 296568 304806 406408 457209 609612 914418 1219224 1371627 1828836 2743254 3657672 5486508 10973016 19432507 38865014 58297521 77730028 116595042 155460056 174892563 233190084 349785126 466380168 524677689 699570252 719002759 1049355378 1399140504 1438005518 2098710756 2157008277 2876011036 4197421512 4314016554 5752022072 6471024831 8628033108 12942049662 17256066216 19413074493 25884099324 26680832111 38826148986 51768198648 53361664222 77652297972 80042496333 106723328444 155304595944 160084992666 213446656888 240127488999 320169985332 480254977998 640339970664 720382466997 960509955996 987190788107 1440764933994 1921019911992 1974381576214 2881529867988 2961572364321 3948763152428 5763059735976 5923144728642 7897526304856 8884717092963 11846289457284 17769434185926 23692578914568 26654151278889 35538868371852 53308302557778 71077736743704 106616605115556 213233210231112