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131120151030 = 23351144148199
BaseRepresentation
bin111101000011101011…
…1101011100111110110
3110112102222200210222000
41322013113223213312
54122013224313110
6140122531520130
712321164615541
oct1720727534766
9415388623860
10131120151030
11506759a8190
12214b3a59046
13c497c8c5ab
1464bc171858
15362637a1c0
hex1e875eb9f6

131120151030 has 64 divisors (see below), whose sum is σ = 381440448000. Its totient is φ = 31786702560.

The previous prime is 131120151007. The next prime is 131120151089. The reversal of 131120151030 is 30151021131.

131120151030 is a `hidden beast` number, since 1 + 3 + 1 + 120 + 1 + 510 + 30 = 666.

It is a super-2 number, since 2×1311201510302 (a number of 23 digits) contains 22 as substring.

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 = 131120150994 and 131120151012.

It is a congruent 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, 22071130 + ... + 22077069.

It is an arithmetic number, because the mean of its divisors is an integer number (5960007000).

Almost surely, 2131120151030 is an apocalyptic number.

131120151030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131120151030 is an abundant number, since it is smaller than the sum of its proper divisors (250320296970).

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

131120151030 is a wasteful number, since it uses less digits than its factorization.

131120151030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44148226 (or 44148220 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

Adding to 131120151030 its reverse (30151021131), we get a palindrome (161271172161).

The spelling of 131120151030 in words is "one hundred thirty-one billion, one hundred twenty million, one hundred fifty-one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 2970 44148199 88296398 132444597 220740995 264889194 397333791 441481990 485630189 662222985 794667582 971260378 1192001373 1324445970 1456890567 1986668955 2384002746 2428150945 2913781134 3973337910 4370671701 4856301890 5960006865 7284452835 8741343402 11920013730 13112015103 14568905670 21853358505 26224030206 43706717010 65560075515 131120151030