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31321332200032 = 257671812081353
BaseRepresentation
bin1110001111100100100001…
…11000010011001001100000
311002220021211111100020211221
413013302100320103021200
513101132042020400112
6150340453225544424
76411614544645610
oct707622070231140
9132807744306757
1031321332200032
119a86336532926
12361a34a945114
131462786c11754
147a3d63b20a40
15394b168bae07
hex1c7c90e13260

31321332200032 has 48 divisors (see below), whose sum is σ = 70474080311712. Its totient is φ = 13423221826560.

The previous prime is 31321332200003. The next prime is 31321332200047. The reversal of 31321332200032 is 23000223312313.

It is a super-2 number, since 2×313213322000322 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14007868 + ... + 16089220.

It is an arithmetic number, because the mean of its divisors is an integer number (1468210006494).

Almost surely, 231321332200032 is an apocalyptic number.

31321332200032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31321332200032 is an abundant number, since it is smaller than the sum of its proper divisors (39152748111680).

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

31321332200032 is a wasteful number, since it uses less digits than its factorization.

31321332200032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2148551 (or 2148543 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 31321332200032 its reverse (23000223312313), we get a palindrome (54321555512345).

The spelling of 31321332200032 in words is "thirty-one trillion, three hundred twenty-one billion, three hundred thirty-two million, two hundred thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 67181 134362 268724 470267 537448 940534 1074896 1881068 2081353 2149792 3762136 4162706 7524272 8325412 14569471 15048544 16650824 29138942 33301648 58277884 66603296 116555768 233111536 466223072 139827375893 279654751786 559309503572 978791631251 1118619007144 1957583262502 2237238014288 3915166525004 4474476028576 7830333050008 15660666100016 31321332200032