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213103023124104 = 23334130197970561
BaseRepresentation
bin110000011101000011101001…
…111111100110111010001000
31000221112110011002022112202000
4300131003221333212322020
5210412434442404432404
62033122102145111000
762613120400230501
oct6035035177467210
91027473132275660
10213103023124104
11619a0536a73013
121ba98963328460
1391ba6b4b76659
143a8a3543b1ba8
151998473071339
hexc1d0e9fe6e88

213103023124104 has 128 divisors (see below), whose sum is σ = 606591650448000. Its totient is φ = 69278832230400.

The previous prime is 213103023124097. The next prime is 213103023124111. The reversal of 213103023124104 is 401421320301312.

213103023124104 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 0 + 302 + 312 + 41 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (213103023124097) and next prime (213103023124111).

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, 22750984 + ... + 30721544.

It is an arithmetic number, because the mean of its divisors is an integer number (4738997269125).

Almost surely, 2213103023124104 is an apocalyptic number.

213103023124104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213103023124104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303295825224000).

213103023124104 is an abundant number, since it is smaller than the sum of its proper divisors (393488627323896).

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

213103023124104 is a wasteful number, since it uses less digits than its factorization.

213103023124104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7973636 (or 7973626 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 213103023124104 its reverse (401421320301312), we get a palindrome (614524343425416).

The spelling of 213103023124104 in words is "two hundred thirteen trillion, one hundred three billion, twenty-three million, one hundred twenty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 82 108 123 164 216 246 328 369 492 738 984 1107 1476 2214 2952 3019 4428 6038 8856 9057 12076 18114 24152 27171 36228 54342 72456 81513 108684 123779 163026 217368 247558 326052 371337 495116 652104 742674 990232 1114011 1485348 2228022 2970696 3342033 4456044 6684066 7970561 8912088 13368132 15941122 23911683 26736264 31882244 47823366 63764488 71735049 95646732 143470098 191293464 215205147 286940196 326793001 430410294 573880392 653586002 860820588 980379003 1307172004 1721641176 1960758006 2614344008 2941137009 3921516012 5882274018 7843032024 8823411027 11764548036 17646822054 23529096072 24063123659 35293644108 48126247318 70587288216 72189370977 96252494636 144378741954 192504989272 216568112931 288757483908 433136225862 577514967816 649704338793 866272451724 986588070019 1299408677586 1732544903448 1973176140038 2598817355172 2959764210057 3946352280076 5197634710344 5919528420114 7892704560152 8879292630171 11839056840228 17758585260342 23678113680456 26637877890513 35517170520684 53275755781026 71034341041368 106551511562052 213103023124104