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10231313550408 = 233423416744581
BaseRepresentation
bin1001010011100010100111…
…0011110100110001001000
31100020002210211111010010000
42110320221303310301020
52320112212232103113
633432111153123000
72104121326155216
oct224705163646110
940202724433100
1010231313550408
1132950918510a5
121192a92259460
13592a68a10342
142752abca5cb6
1512b2174ab373
hex94e29cf4c48

10231313550408 has 80 divisors (see below), whose sum is σ = 28669397044860. Its totient is φ = 3408980515200.

The previous prime is 10231313550407. The next prime is 10231313550443. The reversal of 10231313550408 is 80405531313201.

10231313550408 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 13 + 135 + 504 + 0 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8704848358404 + 1526465192004 = 2950398^2 + 1235502^2 .

It is a super-4 number, since 4×102313135504084 (a number of 53 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10231313550407) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1855323 + ... + 4889258.

Almost surely, 210231313550408 is an apocalyptic number.

10231313550408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10231313550408 is an abundant number, since it is smaller than the sum of its proper divisors (18438083494452).

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

10231313550408 is a wasteful number, since it uses less digits than its factorization.

10231313550408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6746940 (or 6746927 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 10231313550408 its reverse (80405531313201), we get a palindrome (90636844863609).

The spelling of 10231313550408 in words is "ten trillion, two hundred thirty-one billion, three hundred thirteen million, five hundred fifty thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 2341 4682 7023 9364 14046 18728 21069 28092 42138 56184 63207 84276 126414 168552 189621 252828 379242 505656 758484 1516968 6744581 13489162 20233743 26978324 40467486 53956648 60701229 80934972 121402458 161869944 182103687 242804916 364207374 485609832 546311061 728414748 1092622122 1456829496 2185244244 4370488488 15789064121 31578128242 47367192363 63156256484 94734384726 126312512968 142101577089 189468769452 284203154178 378937538904 426304731267 568406308356 852609462534 1136812616712 1278914193801 1705218925068 2557828387602 3410437850136 5115656775204 10231313550408