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31300332032 = 2969188471
BaseRepresentation
bin11101001001101001…
…010010101000000000
32222210101002121120202
4131021221102220000
51003100341111112
622213522424332
72155436301224
oct351151225000
988711077522
1031300332032
1112302248802
1260965020a8
132c4a8b8238
14172d014784
15c32d826c2
hex749a52a00

31300332032 has 40 divisors (see below), whose sum is σ = 62630744352. Its totient is φ = 15627340800.

The previous prime is 31300332029. The next prime is 31300332047. The reversal of 31300332032 is 23023300313.

It is a junction number, because it is equal to n+sod(n) for n = 31300331995 and 31300332013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 309557 + ... + 398027.

Almost surely, 231300332032 is an apocalyptic number.

31300332032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31300332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31315372176).

31300332032 is an abundant number, since it is smaller than the sum of its proper divisors (31330412320).

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

31300332032 is an frugal number, since it uses more digits than its factorization.

31300332032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89180 (or 89164 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 31300332032 its reverse (23023300313), we get a palindrome (54323632345).

The spelling of 31300332032 in words is "thirty-one billion, three hundred million, three hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 691 1382 2764 5528 11056 22112 44224 88448 88471 176896 176942 353792 353884 707768 1415536 2831072 5662144 11324288 22648576 45297152 61133461 122266922 244533844 489067688 978135376 1956270752 3912541504 7825083008 15650166016 31300332032