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123013243034331 = 31315781112476927
BaseRepresentation
bin11011111110000101000000…
…101001110101101011011011
3121010112221200102011011021120
4123332011000221311223123
5112110422110204044311
61113343300444340323
734624261560316626
oct3376050051655333
9533487612134246
10123013243034331
1136217694820661
121196895a2446a3
1353841397a2560
142253c30ab6dbd
15e34ccb806706
hex6fe140a75adb

123013243034331 has 32 divisors (see below), whose sum is σ = 177781447753728. Its totient is φ = 75208984755840.

The previous prime is 123013243034323. The next prime is 123013243034411. The reversal of 123013243034331 is 133430342310321.

It is a happy number.

It is not a de Polignac number, because 123013243034331 - 23 = 123013243034323 is a prime.

It is a super-2 number, since 2×1230132430343312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123013243034292 and 123013243034301.

It is not an unprimeable number, because it can be changed into a prime (123013243034321) 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, 48425190 + ... + 50902116.

It is an arithmetic number, because the mean of its divisors is an integer number (5555670242304).

Almost surely, 2123013243034331 is an apocalyptic number.

123013243034331 is a deficient number, since it is larger than the sum of its proper divisors (54768204719397).

123013243034331 is a wasteful number, since it uses less digits than its factorization.

123013243034331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2485211.

The product of its (nonzero) digits is 46656, while the sum is 33.

Adding to 123013243034331 its reverse (133430342310321), we get a palindrome (256443585344652).

The spelling of 123013243034331 in words is "one hundred twenty-three trillion, thirteen billion, two hundred forty-three million, thirty-four thousand, three hundred thirty-one".

Divisors: 1 3 13 39 157 471 2041 6123 8111 24333 105443 316329 1273427 2476927 3820281 7430781 16554551 32200051 49663653 96600153 388877539 1166632617 5055408007 15166224021 20090354897 60271064691 261174613661 783523840983 3154185718829 9462557156487 41004414344777 123013243034331