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31221312032 = 254328180747
BaseRepresentation
bin11101000100111011…
…110110101000100000
32222120212101222112002
4131010323312220200
51002420123441112
622202021023132
72153456526221
oct350473665040
988525358462
1031221312032
1112271686919
126073b54aa8
132c3740bc41
141722725248
15c2ae741c2
hex744ef6a20

31221312032 has 48 divisors (see below), whose sum is σ = 63121034592. Its totient is φ = 15193167360.

The previous prime is 31221312029. The next prime is 31221312049. The reversal of 31221312032 is 23021312213.

It is a junction number, because it is equal to n+sod(n) for n = 31221311995 and 31221312013.

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 7 ways as a sum of consecutive naturals, for example, 346283 + ... + 427029.

It is an arithmetic number, because the mean of its divisors is an integer number (1315021554).

Almost surely, 231221312032 is an apocalyptic number.

31221312032 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 31221312032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31560517296).

31221312032 is an abundant number, since it is smaller than the sum of its proper divisors (31899722560).

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

31221312032 is a wasteful number, since it uses less digits than its factorization.

31221312032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81081 (or 81073 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 31221312032 its reverse (23021312213), we get a palindrome (54242624245).

The spelling of 31221312032 in words is "thirty-one billion, two hundred twenty-one million, three hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 32 43 86 172 281 344 562 688 1124 1376 2248 4496 8992 12083 24166 48332 80747 96664 161494 193328 322988 386656 645976 1291952 2583904 3472121 6944242 13888484 22689907 27776968 45379814 55553936 90759628 111107872 181519256 363038512 726077024 975666001 1951332002 3902664004 7805328008 15610656016 31221312032