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2024135312120 = 235192663335937
BaseRepresentation
bin11101011101000111110…
…111011100001011111000
321011111122110200201222222
4131131013313130023320
5231130412114441440
64145512552303212
7266144650162355
oct35350767341370
97144573621888
102024135312120
11710481684029
1228835a9a1b08
13118b4b8b904c
146dd7c06d62c
15379bbceb2b5
hex1d747ddc2f8

2024135312120 has 32 divisors (see below), whose sum is σ = 4794004688400. Its totient is φ = 767040749568.

The previous prime is 2024135312117. The next prime is 2024135312137. The reversal of 2024135312120 is 212135314202.

It is a super-2 number, since 2×20241353121202 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2024135312120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1331667209 + ... + 1331668728.

Almost surely, 22024135312120 is an apocalyptic number.

2024135312120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2024135312120 is an abundant number, since it is smaller than the sum of its proper divisors (2769869376280).

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

2024135312120 is a wasteful number, since it uses less digits than its factorization.

2024135312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2663335967 (or 2663335963 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The spelling of 2024135312120 in words is "two trillion, twenty-four billion, one hundred thirty-five million, three hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 2663335937 5326671874 10653343748 13316679685 21306687496 26633359370 50603382803 53266718740 101206765606 106533437480 202413531212 253016914015 404827062424 506033828030 1012067656060 2024135312120