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102201331323 = 37131722021403
BaseRepresentation
bin101111100101110101…
…1001000111001111011
3100202210120211120010110
41133023223020321323
53133302020100243
6114541201115403
710245433661040
oct1371353107173
9322716746113
10102201331323
113a385a94993
1217983028b63
1398398b9060
144d375671c7
1529d261ae33
hex17cbac8e7b

102201331323 has 32 divisors (see below), whose sum is σ = 177580601856. Its totient is φ = 50737310208.

The previous prime is 102201331319. The next prime is 102201331333. The reversal of 102201331323 is 323133102201.

It is not a de Polignac number, because 102201331323 - 22 = 102201331319 is a prime.

It is a super-2 number, since 2×1022013313232 (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 102201331323.

It is not an unprimeable number, because it can be changed into a prime (102201331313) 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, 11006061 + ... + 11015342.

It is an arithmetic number, because the mean of its divisors is an integer number (5549393808).

Almost surely, 2102201331323 is an apocalyptic number.

102201331323 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

102201331323 is a deficient number, since it is larger than the sum of its proper divisors (75379270533).

102201331323 is a wasteful number, since it uses less digits than its factorization.

102201331323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22021443.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 102201331323 its reverse (323133102201), we get a palindrome (425334433524).

The spelling of 102201331323 in words is "one hundred two billion, two hundred one million, three hundred thirty-one thousand, three hundred twenty-three".

Divisors: 1 3 7 13 17 21 39 51 91 119 221 273 357 663 1547 4641 22021403 66064209 154149821 286278239 374363851 462449463 858834717 1123091553 2003947673 2620546957 4866730063 6011843019 7861640871 14600190189 34067110441 102201331323