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31230023123024 = 24112392662727883
BaseRepresentation
bin1110001100111010011100…
…11011110100000001010000
311002120120011000012112122222
413012131032123310001100
513043133041404414044
6150230512523320212
76402203041415165
oct706351633640120
9132516130175588
1031230023123024
119a5063a984910
123604707680068
131456c94b26abb
1479d78101c06c
153925706598ee
hex1c674e6f4050

31230023123024 has 80 divisors (see below), whose sum is σ = 66289967170560. Its totient is φ = 14135031953280.

The previous prime is 31230023122997. The next prime is 31230023123063. The reversal of 31230023123024 is 42032132003213.

It is a happy number.

It is a super-2 number, since 2×312300231230242 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31230023122984 and 31230023123002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1120024187 + ... + 1120052069.

It is an arithmetic number, because the mean of its divisors is an integer number (828624589632).

Almost surely, 231230023123024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31230023123024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33144983585280).

31230023123024 is an abundant number, since it is smaller than the sum of its proper divisors (35059944047536).

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

31230023123024 is a wasteful number, since it uses less digits than its factorization.

31230023123024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54768 (or 54762 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 31230023123024 its reverse (42032132003213), we get a palindrome (73262155126237).

The spelling of 31230023123024 in words is "thirty-one trillion, two hundred thirty billion, twenty-three million, one hundred twenty-three thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 239 478 956 1912 2629 3824 5258 10516 21032 26627 27883 42064 53254 55766 106508 111532 213016 223064 292897 306713 426032 446128 585794 613426 1171588 1226852 2343176 2453704 4686352 4907408 6363853 6664037 12727706 13328074 25455412 26656148 50910824 53312296 70002383 73304407 101821648 106624592 140004766 146608814 280009532 293217628 560019064 586435256 742440641 1120038128 1172870512 1484881282 2969762564 5939525128 8166847051 11879050256 16333694102 32667388204 65334776408 130669552816 177443313199 354886626398 709773252796 1419546505592 1951876445189 2839093011184 3903752890378 7807505780756 15615011561512 31230023123024