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31131042024 = 2331997769877
BaseRepresentation
bin11100111111100011…
…100000000011101000
32222100120112210100110
4130333203200003220
51002224021321044
622145034134320
72151312330315
oct347743400350
988316483313
1031131042024
1112225730705
1260498813a0
132c217c4134
141714747d0c
15c230926b9
hex73f8e00e8

31131042024 has 64 divisors (see below), whose sum is σ = 82008820800. Its totient is φ = 9820652544.

The previous prime is 31131042013. The next prime is 31131042037. The reversal of 31131042024 is 42024013113.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 410574 + ... + 480450.

It is an arithmetic number, because the mean of its divisors is an integer number (1281387825).

Almost surely, 231131042024 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 31131042024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41004410400).

31131042024 is an abundant number, since it is smaller than the sum of its proper divisors (50877778776).

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

31131042024 is a wasteful number, since it uses less digits than its factorization.

31131042024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70882 (or 70878 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 31131042024 its reverse (42024013113), we get a palindrome (73155055137).

The spelling of 31131042024 in words is "thirty-one billion, one hundred thirty-one million, forty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 977 1954 2931 3908 5862 7816 11724 18563 23448 37126 55689 69877 74252 111378 139754 148504 209631 222756 279508 419262 445512 559016 838524 1327663 1677048 2655326 3982989 5310652 7965978 10621304 15931956 31863912 68269829 136539658 204809487 273079316 409618974 546158632 819237948 1297126751 1638475896 2594253502 3891380253 5188507004 7782760506 10377014008 15565521012 31131042024