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122313137856 = 2637137000523
BaseRepresentation
bin111000111101001101…
…1100101111011000000
3102200201012202012002220
41301322123211323000
54000444130402411
6132105003011040
711560014342360
oct1617233457300
9380635665086
10122313137856
11479666398a8
121b856509a80
13b6c34ac3b0
145cc46349a0
1532ad0beb06
hex1c7a6e5ec0

122313137856 has 112 divisors (see below), whose sum is σ = 398301813504. Its totient is φ = 32258405376.

The previous prime is 122313137851. The next prime is 122313137857. The reversal of 122313137856 is 658731313221.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (122313137851) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3482790 + ... + 3517733.

It is an arithmetic number, because the mean of its divisors is an integer number (3556266192).

Almost surely, 2122313137856 is an apocalyptic number.

122313137856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

122313137856 is an abundant number, since it is smaller than the sum of its proper divisors (275988675648).

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

122313137856 is a wasteful number, since it uses less digits than its factorization.

122313137856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7000558 (or 7000548 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The spelling of 122313137856 in words is "one hundred twenty-two billion, three hundred thirteen million, one hundred thirty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 1092 1248 1344 1456 2184 2496 2912 4368 5824 8736 17472 7000523 14001046 21001569 28002092 42003138 49003661 56004184 84006276 91006799 98007322 112008368 147010983 168012552 182013598 196014644 224016736 273020397 294021966 336025104 364027196 392029288 448033472 546040794 588043932 637047593 672050208 728054392 784058576 1092081588 1176087864 1274095186 1344100416 1456108784 1568117152 1911142779 2184163176 2352175728 2548190372 2912217568 3136234304 3822285558 4368326352 4704351456 5096380744 5824435136 7644571116 8736652704 9408702912 10192761488 15289142232 17473305408 20385522976 30578284464 40771045952 61156568928 122313137856