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123368969332 = 227217314129131
BaseRepresentation
bin111001011100101011…
…1010001010001110100
3102210102210110222121101
41302321113101101310
54010124424004312
6132401441055444
711625124636300
oct1627127212164
9383383428541
10123368969332
11483586266a4
121bab0027584
13b83116704b
145d84956d00
153320b2da57
hex1cb95d1474

123368969332 has 144 divisors (see below), whose sum is σ = 281199776256. Its totient is φ = 46980864000.

The previous prime is 123368969329. The next prime is 123368969333. The reversal of 123368969332 is 233969863321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123368969333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4220407 + ... + 4249537.

It is an arithmetic number, because the mean of its divisors is an integer number (1952776224).

Almost surely, 2123368969332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123368969332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140599888128).

123368969332 is an abundant number, since it is smaller than the sum of its proper divisors (157830806924).

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

123368969332 is a wasteful number, since it uses less digits than its factorization.

123368969332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29238 (or 29229 counting only the distinct ones).

The product of its digits is 7558272, while the sum is 55.

The spelling of 123368969332 in words is "one hundred twenty-three billion, three hundred sixty-eight million, nine hundred sixty-nine thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 17 28 31 34 41 49 62 68 82 98 119 124 164 196 217 238 287 434 476 527 574 697 833 868 1054 1148 1271 1394 1519 1666 2009 2108 2542 2788 3038 3332 3689 4018 4879 5084 6076 7378 8036 8897 9758 14756 17794 19516 21607 25823 29131 34153 35588 43214 51646 58262 62279 68306 86428 103292 116524 124558 136612 151249 203917 249116 302498 407834 495227 604996 815668 903061 990454 1058743 1194371 1427419 1806122 1980908 2117486 2388742 2854838 3466589 3612244 4234972 4777484 5709676 6321427 6933178 8360597 12642854 13866356 15352037 16721194 20304307 24266123 25285708 30704074 33442388 37025501 40608614 44249989 48532246 58524179 61408148 74051002 81217228 88499978 97064492 107464259 117048358 142130149 148102004 176999956 214928518 234096716 259178507 284260298 429857036 518357014 568520596 629433517 752249813 994911043 1036714028 1258867034 1504499626 1814249549 1989822086 2517734068 3008999252 3628499098 3979644172 4406034619 7256998196 8812069238 17624138476 30842242333 61684484666 123368969332