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1331931120 = 2435133147293
BaseRepresentation
bin100111101100011…
…1010011111110000
310102211021010000020
41033120322133300
510211433243440
6340055523440
745002141052
oct11730723760
93384233006
101331931120
11623927623
12312089580
13182c37c30
14c8c738d2
157bdeb3d0
hex4f63a7f0

1331931120 has 320 divisors, whose sum is σ = 4703698944. Its totient is φ = 309473280.

The previous prime is 1331931119. The next prime is 1331931131. The reversal of 1331931120 is 211391331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4545694 + ... + 4545986.

Almost surely, 21331931120 is an apocalyptic number.

1331931120 is a gapful number since it is divisible by the number (10) 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 1331931120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351849472).

1331931120 is an abundant number, since it is smaller than the sum of its proper divisors (3371767824).

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

1331931120 is a wasteful number, since it uses less digits than its factorization.

1331931120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 1331931120 is about 36495.6315194024. The cubic root of 1331931120 is about 1100.2564470959.

The spelling of 1331931120 in words is "one billion, three hundred thirty-one million, nine hundred thirty-one thousand, one hundred twenty".