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122393832030 = 23353114622919
BaseRepresentation
bin111000111111100111…
…1011010101001011110
3102200220211120212201000
41301333033122221132
54001130310111110
6132121004331130
711562014256351
oct1617717325136
9380824525630
10122393832030
11479a81445a8
121b879543aa6
13b707123722
145cd123c298
1532b520e1c0
hex1c7f3daa5e

122393832030 has 64 divisors (see below), whose sum is σ = 336912076800. Its totient is φ = 31585502880.

The previous prime is 122393832013. The next prime is 122393832049. The reversal of 122393832030 is 30238393221.

122393832030 is a `hidden beast` number, since 1 + 223 + 9 + 383 + 20 + 30 = 666.

It is a congruent number.

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, 7303090 + ... + 7319829.

It is an arithmetic number, because the mean of its divisors is an integer number (5264251200).

Almost surely, 2122393832030 is an apocalyptic number.

122393832030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122393832030 is an abundant number, since it is smaller than the sum of its proper divisors (214518244770).

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

122393832030 is a wasteful number, since it uses less digits than its factorization.

122393832030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14622966 (or 14622960 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 122393832030 in words is "one hundred twenty-two billion, three hundred ninety-three million, eight hundred thirty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 90 93 135 155 186 270 279 310 465 558 837 930 1395 1674 2790 4185 8370 14622919 29245838 43868757 73114595 87737514 131606271 146229190 219343785 263212542 394818813 438687570 453310489 658031355 789637626 906620978 1316062710 1359931467 1974094065 2266552445 2719862934 3948188130 4079794401 4533104890 6799657335 8159588802 12239383203 13599314670 20398972005 24478766406 40797944010 61196916015 122393832030