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131033202212031 = 3721972436477269
BaseRepresentation
bin11101110010110010001011…
…011110001011110010111111
3122011221122121011020211201120
4131302302023132023302333
5114133321444231241111
61142403453323042023
736412556621461500
oct3562621336136277
9564848534224646
10131033202212031
1138829961690479
1212843142370313
1358164bb47a422
142450080052ba7
15102371ab22406
hex772c8b78bcbf

131033202212031 has 48 divisors (see below), whose sum is σ = 213961328092800. Its totient is φ = 70925462782272.

The previous prime is 131033202212021. The next prime is 131033202212083. The reversal of 131033202212031 is 130212202330131.

It is not a de Polignac number, because 131033202212031 - 25 = 131033202211999 is a prime.

It is a super-2 number, since 2×1310332022120312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131033202211992 and 131033202212010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131033202212021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16991065 + ... + 23468333.

It is an arithmetic number, because the mean of its divisors is an integer number (4457527668600).

Almost surely, 2131033202212031 is an apocalyptic number.

131033202212031 is a deficient number, since it is larger than the sum of its proper divisors (82928125880769).

131033202212031 is a wasteful number, since it uses less digits than its factorization.

131033202212031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6484548 (or 6484541 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 131033202212031 its reverse (130212202330131), we get a palindrome (261245404542162).

The spelling of 131033202212031 in words is "one hundred thirty-one trillion, thirty-three billion, two hundred two million, two hundred twelve thousand, thirty-one".

Divisors: 1 3 7 19 21 49 57 133 147 399 931 2793 7243 21729 50701 137617 152103 354907 412851 963319 1064721 2889957 6477269 6743233 19431807 20229699 45340883 123068111 136022649 317386181 369204333 861476777 952158543 2584430331 6030337439 18091012317 46914859367 140744578101 328404015569 891382327973 985212046707 2298828108983 2674146983919 6239676295811 6896484326949 18719028887433 43677734070677 131033202212031