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3191120136 = 2332313141601
BaseRepresentation
bin1011111000110100…
…1010000100001000
322020101122200212200
42332031022010020
523013411321021
61244352440200
7142036034151
oct27615120410
98211580780
103191120136
111398338876
12750849060
133bb17ca89
14223b56928
1513a247126
hexbe34a108

3191120136 has 48 divisors (see below), whose sum is σ = 8670290460. Its totient is φ = 1060300800.

The previous prime is 3191120071. The next prime is 3191120137. The reversal of 3191120136 is 6310211913.

It can be written as a sum of positive squares in 2 ways, for example, as 3191120100 + 36 = 56490^2 + 6^2 .

It is a super-3 number, since 3×31911201363 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3191120137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48265 + ... + 93336.

Almost surely, 23191120136 is an apocalyptic number.

3191120136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3191120136 is an abundant number, since it is smaller than the sum of its proper divisors (5479170324).

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

3191120136 is a wasteful number, since it uses less digits than its factorization.

3191120136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141926 (or 141919 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 3191120136 is about 56490.0003186405. Note that the first 3 decimals coincide. The cubic root of 3191120136 is about 1472.2482659093.

It can be divided in two parts, 31911201 and 36, that multiplied together give a square (1148803236 = 338942).

The spelling of 3191120136 in words is "three billion, one hundred ninety-one million, one hundred twenty thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 313 626 939 1252 1878 2504 2817 3756 5634 7512 11268 22536 141601 283202 424803 566404 849606 1132808 1274409 1699212 2548818 3398424 5097636 10195272 44321113 88642226 132963339 177284452 265926678 354568904 398890017 531853356 797780034 1063706712 1595560068 3191120136