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1331131110120 = 233257528226631
BaseRepresentation
bin10011010111101101100…
…110001101001011101000
311201020212211000200222200
4103113231212031023220
5133302124031010440
62455302503220200
7165112445514360
oct23275546151350
94636784020880
101331131110120
11473590899a79
12195b95147660
13986a9913566
14485d9d0d9a0
152495beccc30
hex135ed98d2e8

1331131110120 has 96 divisors (see below), whose sum is σ = 4944201275520. Its totient is φ = 304258538880.

The previous prime is 1331131110107. The next prime is 1331131110121. The reversal of 1331131110120 is 210111311331.

1331131110120 is a `hidden beast` number, since 1 + 331 + 1 + 311 + 1 + 0 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1331131110093 and 1331131110102.

It is not an unprimeable number, because it can be changed into a prime (1331131110121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264110796 + ... + 264115835.

It is an arithmetic number, because the mean of its divisors is an integer number (51502096620).

Almost surely, 21331131110120 is an apocalyptic number.

1331131110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331131110120 is an abundant number, since it is smaller than the sum of its proper divisors (3613070165400).

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

1331131110120 is a wasteful number, since it uses less digits than its factorization.

1331131110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528226655 (or 528226648 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1331131110120 its reverse (210111311331), we get a palindrome (1541242421451).

The spelling of 1331131110120 in words is "one trillion, three hundred thirty-one billion, one hundred thirty-one million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 528226631 1056453262 1584679893 2112906524 2641133155 3169359786 3697586417 4225813048 4754039679 5282266310 6338719572 7395172834 7923399465 9508079358 10564532620 11092759251 12677439144 14790345668 15846798930 18487932085 19016158716 21129065240 22185518502 23770198395 29580691336 31693597860 33278277753 36975864170 38032317432 44371037004 47540396790 55463796255 63387195720 66556555506 73951728340 88742074008 95080793580 110927592510 133113111012 147903456680 166391388765 190161587160 221855185020 266226222024 332782777530 443710370040 665565555060 1331131110120