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1331132900 = 225218477207
BaseRepresentation
bin100111101010111…
…0111100111100100
310102202202120001112
41033111313213210
510211232223100
6340030444152
744662304636
oct11725674744
93382676045
101331132900
11623431939
12311963658
13182a18806
14c8b06a56
157bcdeb35
hex4f5779e4

1331132900 has 36 divisors (see below), whose sum is σ = 2890523328. Its totient is φ = 532091040.

The previous prime is 1331132879. The next prime is 1331132903. The reversal of 1331132900 is 92311331.

It is not an unprimeable number, because it can be changed into a prime (1331132903) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 181097 + ... + 188303.

Almost surely, 21331132900 is an apocalyptic number.

1331132900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331132900 is an abundant number, since it is smaller than the sum of its proper divisors (1559390428).

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

1331132900 is a wasteful number, since it uses less digits than its factorization.

1331132900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9068 (or 9061 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 23.

The square root of 1331132900 is about 36484.6940510675. The cubic root of 1331132900 is about 1100.0366103518.

The spelling of 1331132900 in words is "one billion, three hundred thirty-one million, one hundred thirty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1847 3694 7207 7388 9235 14414 18470 28828 36035 36940 46175 72070 92350 144140 180175 184700 360350 720700 13311329 26622658 53245316 66556645 133113290 266226580 332783225 665566450 1331132900