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131412034233 = 3415831024871
BaseRepresentation
bin111101001100011000…
…1001000001010111001
3110120012022221000110000
41322120301020022321
54123112440043413
6140211515543213
712331340601144
oct1723061101271
9416168830400
10131412034233
1150805738377
122157575ab09
13c5135a7a4c
146508c3105b
153641cd4073
hex1e98c482b9

131412034233 has 20 divisors (see below), whose sum is σ = 196431067008. Its totient is φ = 87552594360.

The previous prime is 131412034213. The next prime is 131412034267. The reversal of 131412034233 is 332430214131.

It is a happy number.

131412034233 is a `hidden beast` number, since 1 + 31 + 4 + 1 + 203 + 423 + 3 = 666.

It is not a de Polignac number, because 131412034233 - 221 = 131409937081 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 131412034197 and 131412034206.

It is not an unprimeable number, because it can be changed into a prime (131412034213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 384213 + ... + 640658.

Almost surely, 2131412034233 is an apocalyptic number.

It is an amenable number.

131412034233 is a deficient number, since it is larger than the sum of its proper divisors (65019032775).

131412034233 is a wasteful number, since it uses less digits than its factorization.

131412034233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026466 (or 1026457 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 131412034233 its reverse (332430214131), we get a palindrome (463842248364).

The spelling of 131412034233 in words is "one hundred thirty-one billion, four hundred twelve million, thirty-four thousand, two hundred thirty-three".

Divisors: 1 3 9 27 81 1583 4749 14247 42741 128223 1024871 3074613 9223839 27671517 83014551 1622370793 4867112379 14601337137 43804011411 131412034233