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102210111993 = 31117182192713
BaseRepresentation
bin101111100110000110…
…0101000100111111001
3100202211012100122221110
41133030030220213321
53133311242040433
6114542113230533
710245601421463
oct1371414504771
9322735318843
10102210111993
113a38aa41a40
1217985b62449
13983b671912
144d387b1133
1529d32a2963
hex17cc3289f9

102210111993 has 16 divisors (see below), whose sum is σ = 157414504896. Its totient is φ = 58301667840.

The previous prime is 102210111979. The next prime is 102210112003. The reversal of 102210111993 is 399111012201.

It is not a de Polignac number, because 102210111993 - 24 = 102210111977 is a prime.

It is a super-3 number, since 3×1022101119933 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102210111993.

It is not an unprimeable number, because it can be changed into a prime (102210111943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91095796 + ... + 91096917.

It is an arithmetic number, because the mean of its divisors is an integer number (9838406556).

Almost surely, 2102210111993 is an apocalyptic number.

It is an amenable number.

102210111993 is a deficient number, since it is larger than the sum of its proper divisors (55204392903).

102210111993 is a wasteful number, since it uses less digits than its factorization.

102210111993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182192744.

The product of its (nonzero) digits is 972, while the sum is 30.

The spelling of 102210111993 in words is "one hundred two billion, two hundred ten million, one hundred eleven thousand, nine hundred ninety-three".

Divisors: 1 3 11 17 33 51 187 561 182192713 546578139 2004119843 3097276121 6012359529 9291828363 34070037331 102210111993