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102133120034001 = 3725747411208863
BaseRepresentation
bin10111001110001110111000…
…010101101110010011010001
3111101121211102201222202220110
4113032032320111232103101
5101341322112212042001
61001115150240031533
730340605632232600
oct2716167025562321
9441554381882813
10102133120034001
112a5a745a721891
12b5560bb3025a9
1344cb15baa28b4
141b313ab29ba37
15bc1ab44b53d6
hex5ce3b856e4d1

102133120034001 has 24 divisors (see below), whose sum is σ = 158410960184064. Its totient is φ = 58361633053920.

The previous prime is 102133120033993. The next prime is 102133120034017. The reversal of 102133120034001 is 100430021331201.

It is not a de Polignac number, because 102133120034001 - 23 = 102133120033993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (102133120034801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83882496 + ... + 85091358.

It is an arithmetic number, because the mean of its divisors is an integer number (6600456674336).

Almost surely, 2102133120034001 is an apocalyptic number.

It is an amenable number.

102133120034001 is a deficient number, since it is larger than the sum of its proper divisors (56277840150063).

102133120034001 is a wasteful number, since it uses less digits than its factorization.

102133120034001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1783621 (or 1783614 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 102133120034001 its reverse (100430021331201), we get a palindrome (202563141365202).

The spelling of 102133120034001 in words is "one hundred two trillion, one hundred thirty-three billion, one hundred twenty million, thirty-four thousand, one".

Divisors: 1 3 7 21 49 147 574741 1208863 1724223 3626589 4023187 8462041 12069561 25386123 28162309 59234287 84486927 177702861 694783129483 2084349388449 4863481906381 14590445719143 34044373344667 102133120034001