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131011234101 = 32119711362869
BaseRepresentation
bin111101000000011100…
…0001100100100110101
3110112011101202021000200
41322000320030210311
54121302333442401
6140104041231113
712315403054506
oct1720070144465
9415141667020
10131011234101
115061a4762a0
1221483492499
13c47b5461c7
1464ab8dcbad
15361ba13686
hex1e80e0c935

131011234101 has 24 divisors (see below), whose sum is σ = 206654703840. Its totient is φ = 79318917600.

The previous prime is 131011234097. The next prime is 131011234129. The reversal of 131011234101 is 101432110131.

It is a happy number.

131011234101 is a `hidden beast` number, since 1 + 310 + 1 + 12 + 341 + 0 + 1 = 666.

It is not a de Polignac number, because 131011234101 - 22 = 131011234097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131011234801) 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, 585306 + ... + 777563.

It is an arithmetic number, because the mean of its divisors is an integer number (8610612660).

Almost surely, 2131011234101 is an apocalyptic number.

131011234101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131011234101 is a deficient number, since it is larger than the sum of its proper divisors (75643469739).

131011234101 is a wasteful number, since it uses less digits than its factorization.

131011234101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363857 (or 1363854 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 131011234101 its reverse (101432110131), we get a palindrome (232443344232).

The spelling of 131011234101 in words is "one hundred thirty-one billion, eleven million, two hundred thirty-four thousand, one hundred one".

Divisors: 1 3 9 11 33 99 971 2913 8739 10681 32043 96129 1362869 4088607 12265821 14991559 44974677 134924031 1323345799 3970037397 11910112191 14556803789 43670411367 131011234101