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122103100296 = 23337164112421
BaseRepresentation
bin111000110110111101…
…0010111001110001000
3102200011120112011202000
41301231322113032020
54000031343202141
6132032101111000
711551554141102
oct1615572271610
9380146464660
10122103100296
1147869020541
121b7b80b8460
13b68bb1c408
145ca479c572
1532999315b6
hex1c6de97388

122103100296 has 128 divisors (see below), whose sum is σ = 344516716800. Its totient is φ = 40061952000.

The previous prime is 122103100291. The next prime is 122103100319. The reversal of 122103100296 is 692001301221.

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

It is not an unprimeable number, because it can be changed into a prime (122103100291) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9824166 + ... + 9836586.

It is an arithmetic number, because the mean of its divisors is an integer number (2691536850).

Almost surely, 2122103100296 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 122103100296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172258358400).

122103100296 is an abundant number, since it is smaller than the sum of its proper divisors (222413616504).

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

122103100296 is a wasteful number, since it uses less digits than its factorization.

122103100296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13148 (or 13138 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 122103100296 in words is "one hundred twenty-two billion, one hundred three million, one hundred thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 108 142 213 216 284 426 568 639 641 852 1278 1282 1704 1917 1923 2556 2564 3834 3846 5112 5128 5769 7668 7692 11538 12421 15336 15384 17307 23076 24842 34614 37263 45511 46152 49684 69228 74526 91022 99368 111789 136533 138456 149052 182044 223578 273066 298104 335367 364088 409599 447156 546132 670734 819198 881891 894312 1092264 1228797 1341468 1638396 1763782 2457594 2645673 2682936 3276792 3527564 4915188 5291346 7055128 7937019 7961861 9830376 10582692 15874038 15923722 21165384 23811057 23885583 31748076 31847444 47622114 47771166 63496152 63694888 71656749 95244228 95542332 143313498 190488456 191084664 214970247 286626996 429940494 565292131 573253992 859880988 1130584262 1695876393 1719761976 2261168524 3391752786 4522337048 5087629179 6783505572 10175258358 13567011144 15262887537 20350516716 30525775074 40701033432 61051550148 122103100296