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123434130421311 = 3192154437380319
BaseRepresentation
bin11100000100001100111111…
…011111110011011000111111
3121012001012001210000201121120
4130010030333133303120333
5112134321044341440221
61114304505014002023
734666551551141613
oct3404147737633077
9535035053021546
10123434130421311
113636a136779a46
1211a16440646313
1353b4a335b6b78
14226a35ad57343
15e40c11d055c6
hex70433f7f363f

123434130421311 has 24 divisors (see below), whose sum is σ = 173708053009920. Its totient is φ = 77953339460304.

The previous prime is 123434130421297. The next prime is 123434130421321. The reversal of 123434130421311 is 113124031434321.

It is a happy number.

It is not a de Polignac number, because 123434130421311 - 210 = 123434130420287 is a prime.

It is a super-3 number, since 3×1234341304213113 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123434130421321) 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 23 ways as a sum of consecutive naturals, for example, 13034610 + ... + 20414928.

It is an arithmetic number, because the mean of its divisors is an integer number (7237835542080).

Almost surely, 2123434130421311 is an apocalyptic number.

123434130421311 is a deficient number, since it is larger than the sum of its proper divisors (50273922588609).

123434130421311 is a wasteful number, since it uses less digits than its factorization.

123434130421311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7395803 (or 7395784 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 123434130421311 its reverse (113124031434321), we get a palindrome (236558161855632).

The spelling of 123434130421311 in words is "one hundred twenty-three trillion, four hundred thirty-four billion, one hundred thirty million, four hundred twenty-one thousand, three hundred eleven".

Divisors: 1 3 19 57 361 1083 15443 46329 293417 880251 5574923 7380319 16724769 22140957 140226061 420678183 2664295159 7992885477 113974266317 341922798951 2165511060023 6496533180069 41144710140437 123434130421311