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102321120300320 = 25519011232327299
BaseRepresentation
bin10111010000111101111110…
…000001110100110100100000
3111102021210200210122211101002
4113100331332001310310200
5101402412123244102240
61001341401310131132
730360312514152365
oct2720757601646440
9442253623584332
10102321120300320
112a66a1639a3509
12b5866281b0aa8
134512ac002152c
141b3a5237d046c
15bc691921cd15
hex5d0f7e074d20

102321120300320 has 96 divisors (see below), whose sum is σ = 241889295211200. Its totient is φ = 40902100249600.

The previous prime is 102321120300257. The next prime is 102321120300323. The reversal of 102321120300320 is 23003021123201.

It is a super-2 number, since 2×1023211203003202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 102321120300292 and 102321120300301.

It is not an unprimeable number, because it can be changed into a prime (102321120300323) 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 15 ways as a sum of consecutive naturals, for example, 3748150031 + ... + 3748177329.

It is an arithmetic number, because the mean of its divisors is an integer number (2519680158450).

Almost surely, 2102321120300320 is an apocalyptic number.

102321120300320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102321120300320 is an abundant number, since it is smaller than the sum of its proper divisors (139568174910880).

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

102321120300320 is a wasteful number, since it uses less digits than its factorization.

102321120300320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41538 (or 41530 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 102321120300320 its reverse (23003021123201), we get a palindrome (125324141423521).

The spelling of 102321120300320 in words is "one hundred two trillion, three hundred twenty-one billion, one hundred twenty million, three hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1901 3802 7604 9505 12323 15208 19010 24646 27299 30416 38020 49292 54598 60832 61615 76040 98584 109196 123230 136495 152080 197168 218392 246460 272990 304160 394336 436784 492920 545980 873568 985840 1091960 1971680 2183920 4367840 23426023 46852046 51895399 93704092 103790798 117130115 187408184 207581596 234260230 259476995 336405577 374816368 415163192 468520460 518953990 672811154 749632736 830326384 937040920 1037907980 1345622308 1660652768 1682027885 1874081840 2075815960 2691244616 3364055770 3748163680 4151631920 5382489232 6728111540 8303263840 10764978464 13456223080 26912446160 53824892320 639507001877 1279014003754 2558028007508 3197535009385 5116056015016 6395070018770 10232112030032 12790140037540 20464224060064 25580280075080 51160560150160 102321120300320