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1331183255820 = 2235115873436021
BaseRepresentation
bin10011010111110000101…
…101001000000100001100
311201021000110010222102220
4103113300231020010030
5133302230403141240
62455312005015340
7165113650656555
oct23276055100414
94637013128386
101331183255820
114736082758a0
12195baa6b4550
13986b76704c2
1448602c0532c
152496187d5d0
hex135f0b4810c

1331183255820 has 96 divisors (see below), whose sum is σ = 4073087966976. Its totient is φ = 322161235200.

The previous prime is 1331183255807. The next prime is 1331183255827. The reversal of 1331183255820 is 285523811331.

It is not an unprimeable number, because it can be changed into a prime (1331183255827) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1330591 + ... + 2105430.

It is an arithmetic number, because the mean of its divisors is an integer number (42427999656).

Almost surely, 21331183255820 is an apocalyptic number.

1331183255820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331183255820 is an abundant number, since it is smaller than the sum of its proper divisors (2741904711156).

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

1331183255820 is a wasteful number, since it uses less digits than its factorization.

1331183255820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3436631 (or 3436629 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 1331183255820 in words is "one trillion, three hundred thirty-one billion, one hundred eighty-three million, two hundred fifty-five thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 587 660 1174 1761 2348 2935 3522 5870 6457 7044 8805 11740 12914 17610 19371 25828 32285 35220 38742 64570 77484 96855 129140 193710 387420 3436021 6872042 10308063 13744084 17180105 20616126 34360210 37796231 41232252 51540315 68720420 75592462 103080630 113388693 151184924 188981155 206161260 226777386 377962310 453554772 566943465 755924620 1133886930 2016944327 2267773860 4033888654 6050832981 8067777308 10084721635 12101665962 20169443270 22186387597 24203331924 30254164905 40338886540 44372775194 60508329810 66559162791 88745550388 110931937985 121016659620 133118325582 221863875970 266236651164 332795813955 443727751940 665591627910 1331183255820