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103313132300232 = 23331972427926591
BaseRepresentation
bin10111011111011001110110…
…100011010010011111001000
3111112210122020211020210202000
4113133121312203102133020
5102020140243332101412
61003421221530111000
730522061505060421
oct2737316643223710
9445718224223660
10103313132300232
112aa119428a7738
12b70693ab7b460
1345855043b8baa
141b7254cdb4648
15be26295594dc
hex5df6768d27c8

103313132300232 has 64 divisors (see below), whose sum is σ = 288437679129600. Its totient is φ = 34262900038080.

The previous prime is 103313132300227. The next prime is 103313132300249. The reversal of 103313132300232 is 232003231313301.

103313132300232 is a `hidden beast` number, since 1 + 0 + 3 + 313 + 1 + 323 + 0 + 0 + 23 + 2 = 666.

103313132300232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 103313132300196 and 103313132300205.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1213920744 + ... + 1214005847.

It is an arithmetic number, because the mean of its divisors is an integer number (4506838736400).

Almost surely, 2103313132300232 is an apocalyptic number.

103313132300232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103313132300232 is an abundant number, since it is smaller than the sum of its proper divisors (185124546829368).

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

103313132300232 is a wasteful number, since it uses less digits than its factorization.

103313132300232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2427926803 (or 2427926793 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 103313132300232 its reverse (232003231313301), we get a palindrome (335316363613533).

The spelling of 103313132300232 in words is "one hundred three trillion, three hundred thirteen billion, one hundred thirty-two million, three hundred thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 197 216 394 591 788 1182 1576 1773 2364 3546 4728 5319 7092 10638 14184 21276 42552 2427926591 4855853182 7283779773 9711706364 14567559546 19423412728 21851339319 29135119092 43702678638 58270238184 65554017957 87405357276 131108035914 174810714552 262216071828 478301538427 524432143656 956603076854 1434904615281 1913206153708 2869809230562 3826412307416 4304713845843 5739618461124 8609427691686 11479236922248 12914141537529 17218855383372 25828283075058 34437710766744 51656566150116 103313132300232