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122330241132024 = 23353145376615641
BaseRepresentation
bin11011110100001000111010…
…100100010110010111111000
3121001010122201211120120222110
4123310020322210112113320
5112013224313212211044
61112101423103252320
734524032262042342
oct3364107244262770
9531118654516873
10122330241132024
1135a83a66a81392
12118785062aa0a0
1353348ccb10bb3
14222cb5b118292
15e22154b9c6b9
hex6f423a9165f8

122330241132024 has 64 divisors (see below), whose sum is σ = 311617379003040. Its totient is φ = 40004616304640.

The previous prime is 122330241132023. The next prime is 122330241132049. The reversal of 122330241132024 is 420231142033221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 122330241131982 and 122330241132000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122330241132023) 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, 15183244 + ... + 21798884.

Almost surely, 2122330241132024 is an apocalyptic number.

It is an amenable number.

122330241132024 is an abundant number, since it is smaller than the sum of its proper divisors (189287137871016).

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

122330241132024 is a wasteful number, since it uses less digits than its factorization.

122330241132024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6630240 (or 6630236 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 122330241132024 its reverse (420231142033221), we get a palindrome (542561383165245).

The spelling of 122330241132024 in words is "one hundred twenty-two trillion, three hundred thirty billion, two hundred forty-one million, one hundred thirty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 424 636 1272 14537 29074 43611 58148 87222 116296 174444 348888 770461 1540922 2311383 3081844 4622766 6163688 6615641 9245532 13231282 18491064 19846923 26462564 39693846 52925128 79387692 158775384 350628973 701257946 1051886919 1402515892 2103773838 2805031784 4207547676 8415095352 96171573217 192343146434 288514719651 384686292868 577029439302 769372585736 1154058878604 2308117757208 5097093380501 10194186761002 15291280141503 20388373522004 30582560283006 40776747044008 61165120566012 122330241132024