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31012432020 = 22325172291289
BaseRepresentation
bin11100111000011111…
…000010100010010100
32222001022100210000100
4130320133002202110
51002003140311040
622125200014100
72145342215463
oct347037024224
988038323010
1031012432020
1112174789209
126016001330
132c03065abb
141702ab09da
15c17963b30
hex7387c2894

31012432020 has 36 divisors (see below), whose sum is σ = 94071044340. Its totient is φ = 8269981824.

The previous prime is 31012432001. The next prime is 31012432079. The reversal of 31012432020 is 2023421013.

31012432020 is a `hidden beast` number, since 310 + 12 + 4 + 320 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7526256516 + 23486175504 = 86754^2 + 153252^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31012431984 and 31012432002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86145465 + ... + 86145824.

It is an arithmetic number, because the mean of its divisors is an integer number (2613084565).

Almost surely, 231012432020 is an apocalyptic number.

31012432020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31012432020 is an abundant number, since it is smaller than the sum of its proper divisors (63058612320).

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

31012432020 is a wasteful number, since it uses less digits than its factorization.

31012432020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172291304 (or 172291299 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 31012432020 its reverse (2023421013), we get a palindrome (33035853033).

The spelling of 31012432020 in words is "thirty-one billion, twelve million, four hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 172291289 344582578 516873867 689165156 861456445 1033747734 1550621601 1722912890 2067495468 2584369335 3101243202 3445825780 5168738670 6202486404 7753108005 10337477340 15506216010 31012432020