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99311323121101 = 72132334943135367
BaseRepresentation
bin10110100101001010111000…
…001000110000010111001101
3111000122001212212021021121101
4112211022320020300113031
5101004104042204333401
6551114554135103101
726630002111226500
oct2645127010602715
9430561785237541
1099311323121101
1129709771952003
12b17b249211a91
13435502c838380
141a7499d68d137
15b734ae831101
hex5a52b82305cd

99311323121101 has 48 divisors (see below), whose sum is σ = 124972144786944. Its totient is φ = 78222349852416.

The previous prime is 99311323121081. The next prime is 99311323121107. The reversal of 99311323121101 is 10112132311399.

It is a happy number.

It is not a de Polignac number, because 99311323121101 - 213 = 99311323112909 is a prime.

It is a super-2 number, since 2×993113231211012 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99311323121107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 733577320 + ... + 733712686.

It is an arithmetic number, because the mean of its divisors is an integer number (2603586349728).

Almost surely, 299311323121101 is an apocalyptic number.

99311323121101 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

99311323121101 is a deficient number, since it is larger than the sum of its proper divisors (25660821665843).

99311323121101 is a wasteful number, since it uses less digits than its factorization.

99311323121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140570 (or 140563 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 37.

The spelling of 99311323121101 in words is "ninety-nine trillion, three hundred eleven billion, three hundred twenty-three million, one hundred twenty-one thousand, one hundred one".

Divisors: 1 7 13 49 91 233 637 1631 3029 4943 11417 21203 34601 64259 135367 148421 242207 449813 947569 1151719 1759771 3148691 6632983 8062033 12318397 14972347 31540511 56434231 86228779 104806429 220783577 410026643 669119081 733645003 1545485039 2870186501 4683833567 8698548053 20091305507 32786834969 60889836371 155904745873 426228854597 1091333221111 2026761696349 7639332547777 14187331874443 99311323121101