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102021131320 = 2358111314453
BaseRepresentation
bin101111100000011101…
…1101110110000111000
3100202100000202110012021
41133000323232300320
53132414402200240
6114511242524224
710241115210433
oct1370073566070
9322300673167
10102021131320
113a2a32a5a69
1217932806674
13980b475134
144d1b65a81a
1529c18c354a
hex17c0eeec38

102021131320 has 32 divisors (see below), whose sum is σ = 229576576320. Its totient is φ = 40803291520.

The previous prime is 102021131299. The next prime is 102021131327. The reversal of 102021131320 is 23131120201.

It is a super-2 number, since 2×1020211313202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102021131294 and 102021131303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102021131327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 167214 + ... + 481666.

It is an arithmetic number, because the mean of its divisors is an integer number (7174268010).

Almost surely, 2102021131320 is an apocalyptic number.

102021131320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102021131320 is an abundant number, since it is smaller than the sum of its proper divisors (127555445000).

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

102021131320 is a wasteful number, since it uses less digits than its factorization.

102021131320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322575 (or 322571 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 102021131320 its reverse (23131120201), we get a palindrome (125152251521).

The spelling of 102021131320 in words is "one hundred two billion, twenty-one million, one hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 8111 16222 32444 40555 64888 81110 162220 314453 324440 628906 1257812 1572265 2515624 3144530 6289060 12578120 2550528283 5101056566 10202113132 12752641415 20404226264 25505282830 51010565660 102021131320