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320102012010100 = 225267117894052627
BaseRepresentation
bin100100011001000011000111…
…0101101111011111001110100
31112222101110020121000010202011
41020302012032231323321310
5313424022410033310400
63052444500105454004
7124265415156343105
oct11062061655737164
91488343217003664
10320102012010100
1192aa3556812621
122ba99ab81a1304
131097c64acb90b8
14590903d0183ac
1527018c43b58ba
hex123218eb7be74

320102012010100 has 72 divisors (see below), whose sum is σ = 705048823674720. Its totient is φ = 126119017960320.

The previous prime is 320102012010073. The next prime is 320102012010113. The reversal of 320102012010100 is 1010210201023.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76959987 + ... + 81012613.

It is an arithmetic number, because the mean of its divisors is an integer number (9792344773260).

Almost surely, 2320102012010100 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 320102012010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352524411837360).

320102012010100 is an abundant number, since it is smaller than the sum of its proper divisors (384946811664620).

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

320102012010100 is a wasteful number, since it uses less digits than its factorization.

320102012010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4064497 (or 4064490 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 320102012010100 its reverse (1010210201023), we get a palindrome (321112222211123).

The spelling of 320102012010100 in words is "three hundred twenty trillion, one hundred two billion, twelve million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 67 100 134 268 335 670 1340 1675 3350 6700 11789 23578 47156 58945 117890 235780 294725 589450 789863 1178900 1579726 3159452 3949315 4052627 7898630 8105254 15797260 16210508 19746575 20263135 39493150 40526270 78986300 81052540 101315675 202631350 271526009 405262700 543052018 1086104036 1357630045 2715260090 5430520180 6788150225 13576300450 27152600900 47776419703 95552839406 191105678812 238882098515 477764197030 955528394060 1194410492575 2388820985150 3201020120101 4777641970300 6402040240202 12804080480404 16005100600505 32010201201010 64020402402020 80025503002525 160051006005050 320102012010100