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134114132031 = 31141358967
BaseRepresentation
bin111110011100111010…
…0110100000000111111
3110211011122101210210020
41330321310310000333
54144131204211111
6141340003143223
712455321212245
oct1747164640077
9424148353706
10134114132031
1151971a27450
1221baa674b13
13c854347299
1466c3a4c795
15374e130906
hex1f39d3403f

134114132031 has 32 divisors (see below), whose sum is σ = 199955298816. Its totient is φ = 79297476800.

The previous prime is 134114132023. The next prime is 134114132041. The reversal of 134114132031 is 130231411431.

It is a happy number.

It is not a de Polignac number, because 134114132031 - 23 = 134114132023 is a prime.

It is a super-2 number, since 2×1341141320312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 134114131992 and 134114132010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134114132011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2244910 + ... + 2303876.

It is an arithmetic number, because the mean of its divisors is an integer number (6248603088).

Almost surely, 2134114132031 is an apocalyptic number.

134114132031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

134114132031 is a deficient number, since it is larger than the sum of its proper divisors (65841166785).

134114132031 is an frugal number, since it uses more digits than its factorization.

134114132031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59104 (or 59022 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 134114132031 its reverse (130231411431), we get a palindrome (264345543462).

The spelling of 134114132031 in words is "one hundred thirty-four billion, one hundred fourteen million, one hundred thirty-two thousand, thirty-one".

Divisors: 1 3 11 33 41 123 451 1353 1681 5043 18491 55473 58967 68921 176901 206763 648637 758131 1945911 2274393 2417647 7252941 26594117 79782351 99123527 297370581 1090358797 3271076391 4064064607 12192193821 44704710677 134114132031