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1331131010 = 251131419521
BaseRepresentation
bin100111101010111…
…0111001010000010
310102202202110110112
41033111313022002
510211232143020
6340030431322
744662266266
oct11725671202
93382673415
101331131010
11623430480
12311962542
13182a179b1
14c8b060a6
157bcde2c5
hex4f577282

1331131010 has 64 divisors (see below), whose sum is σ = 2764274688. Its totient is φ = 456960000.

The previous prime is 1331131007. The next prime is 1331131057. The reversal of 1331131010 is 101311331.

It is a happy number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135050 + ... + 144570.

It is an arithmetic number, because the mean of its divisors is an integer number (43191792).

Almost surely, 21331131010 is an apocalyptic number.

1331131010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1331131010 is an abundant number, since it is smaller than the sum of its proper divisors (1433143678).

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

1331131010 is a wasteful number, since it uses less digits than its factorization.

1331131010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9611.

The product of its (nonzero) digits is 27, while the sum is 14.

The square root of 1331131010 is about 36484.6681497859. The cubic root of 1331131010 is about 1100.0360897250.

Adding to 1331131010 its reverse (101311331), we get a palindrome (1432442341).

The spelling of 1331131010 in words is "one billion, three hundred thirty-one million, one hundred thirty-one thousand, ten".

Divisors: 1 2 5 10 11 22 31 41 55 62 82 110 155 205 310 341 410 451 682 902 1271 1705 2255 2542 3410 4510 6355 9521 12710 13981 19042 27962 47605 69905 95210 104731 139810 209462 295151 390361 523655 590302 780722 1047310 1475755 1951805 2951510 3246661 3903610 4293971 6493322 8587942 12101191 16233305 21469855 24202382 32466610 42939710 60505955 121011910 133113101 266226202 665565505 1331131010