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122545215020 = 22517677617069
BaseRepresentation
bin111001000100001000…
…0111001011000101100
3102201022101102221010102
41302020100321120230
54001433033340040
6132144013130232
711565533066234
oct1621020713054
9381271387112
10122545215020
1147a75640908
121b900189978
13b72c5b7c67
145d073a6cc4
1532c3663515
hex1c8843962c

122545215020 has 96 divisors (see below), whose sum is σ = 276952374720. Its totient is φ = 45379952640.

The previous prime is 122545214999. The next prime is 122545215041. The reversal of 122545215020 is 20512545221.

It is a happy number.

122545215020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (122545214999) and next prime (122545215041).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17332046 + ... + 17339114.

It is an arithmetic number, because the mean of its divisors is an integer number (2884920570).

Almost surely, 2122545215020 is an apocalyptic number.

122545215020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122545215020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138476187360).

122545215020 is an abundant number, since it is smaller than the sum of its proper divisors (154407159700).

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

122545215020 is a wasteful number, since it uses less digits than its factorization.

122545215020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7923 (or 7921 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 29.

The spelling of 122545215020 in words is "one hundred twenty-two billion, five hundred forty-five million, two hundred fifteen thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 67 68 85 134 170 268 335 340 670 761 1139 1340 1522 2278 3044 3805 4556 5695 7069 7610 11390 12937 14138 15220 22780 25874 28276 35345 50987 51748 64685 70690 101974 120173 129370 141380 203948 240346 254935 258740 473623 480692 509870 600865 866779 947246 1019740 1201730 1733558 1894492 2368115 2403460 3467116 4333895 4736230 5379509 8051591 8667790 9472460 10759018 16103182 17335580 21518036 26897545 32206364 40257955 53795090 80515910 91451653 107590180 161031820 182903306 360427103 365806612 457258265 720854206 914516530 1441708412 1802135515 1829033060 3604271030 6127260751 7208542060 12254521502 24509043004 30636303755 61272607510 122545215020