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21233122323112 = 23719109766923873
BaseRepresentation
bin1001101001111101110001…
…01101101010101010101000
32210011212101210122222010001
410310332320231222222220
510240340413303314422
6113054210045032344
74321020364564420
oct464767055525250
983155353588101
1021233122323112
116846a0a006787
12246b1558556b4
13bb0375aa64ab
1453598d759480
1526c4c7853227
hex134fb8b6aaa8

21233122323112 has 128 divisors (see below), whose sum is σ = 48341985120000. Its totient is φ = 8540403941376.

The previous prime is 21233122323107. The next prime is 21233122323139. The reversal of 21233122323112 is 21132322133212.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 889408008 + ... + 889431880.

It is an arithmetic number, because the mean of its divisors is an integer number (377671758750).

Almost surely, 221233122323112 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 21233122323112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24170992560000).

21233122323112 is an abundant number, since it is smaller than the sum of its proper divisors (27108862796888).

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

21233122323112 is a wasteful number, since it uses less digits than its factorization.

21233122323112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31683 (or 31679 counting only the distinct ones).

The product of its digits is 5184, while the sum is 28.

Adding to 21233122323112 its reverse (21132322133212), we get a palindrome (42365444456324).

The spelling of 21233122323112 in words is "twenty-one trillion, two hundred thirty-three billion, one hundred twenty-two million, three hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 109 133 152 218 266 436 532 763 872 1064 1526 2071 3052 4142 6104 7669 8284 14497 15338 16568 23873 28994 30676 47746 53683 57988 61352 95492 107366 115976 145711 167111 190984 214732 291422 334222 429464 453587 582844 668444 835921 907174 1019977 1165688 1336888 1671842 1814348 2039954 2602157 3175109 3343684 3628696 4079908 5204314 5851447 6350218 6687368 8159816 10408628 11702894 12700436 15882499 18215099 20817256 23405788 25400872 31764998 36430198 46811576 49440983 63529996 72860396 98881966 111177493 127059992 145720792 183082037 197763932 222354986 346086881 366164074 395527864 444709972 692173762 732328148 889419944 1281574259 1384347524 1464656296 2563148518 2768695048 3478558703 5126297036 6957117406 10252594072 13914234812 19955942033 24349910921 27828469624 39911884066 48699821842 79823768132 97399643684 139691594231 159647536264 194799287368 279383188462 379162898627 558766376924 758325797254 1117532753848 1516651594508 2654140290389 3033303189016 5308280580778 10616561161556 21233122323112