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213243153255132 = 2237111317752510261
BaseRepresentation
bin110000011111000110001010…
…011001101000101011011100
31000222000211211222212202200220
4300133012022121220223130
5210422233434213131012
62033310315140121340
762626211061544530
oct6037061231505334
91028024758782626
10213243153255132
1161a44a05858560
121babbb50696250
1391ca98769b950
143a93048dd5bc0
15199be253ea08c
hexc1f18a668adc

213243153255132 has 96 divisors (see below), whose sum is σ = 668062466179584. Its totient is φ = 51127229548800.

The previous prime is 213243153255037. The next prime is 213243153255133. The reversal of 213243153255132 is 231552351342312.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213243153255133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8876243119 + ... + 8876267142.

It is an arithmetic number, because the mean of its divisors is an integer number (6958984022704).

Almost surely, 2213243153255132 is an apocalyptic number.

213243153255132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

213243153255132 is an abundant number, since it is smaller than the sum of its proper divisors (454819312924452).

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

213243153255132 is a wasteful number, since it uses less digits than its factorization.

213243153255132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17752510299 (or 17752510297 counting only the distinct ones).

The product of its digits is 648000, while the sum is 42.

The spelling of 213243153255132 in words is "two hundred thirteen trillion, two hundred forty-three billion, one hundred fifty-three million, two hundred fifty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 132 143 154 156 182 231 273 286 308 364 429 462 546 572 858 924 1001 1092 1716 2002 3003 4004 6006 12012 17752510261 35505020522 53257530783 71010041044 106515061566 124267571827 195277612871 213030123132 230782633393 248535143654 372802715481 390555225742 461565266786 497070287308 585832838613 692347900179 745605430962 781110451484 923130533572 1171665677226 1366943290097 1384695800358 1491210861924 1615478433751 2343331354452 2538608967323 2733886580194 2769391600716 3230956867502 4100829870291 4846435301253 5077217934646 5467773160388 6461913735004 7615826901969 8201659740582 9692870602506 10154435869292 15231653803938 16403319481164 17770262771261 19385741205012 30463307607876 35540525542522 53310788313783 71081051085044 106621576627566 213243153255132