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23123050461 = 327261859561
BaseRepresentation
bin10101100010001111…
…011011111111011101
32012200111002200002100
4111202033123333131
5334324000103321
614342251115313
71446003454200
oct254217337735
965614080070
1023123050461
1198963a5065
124593a42b39
1322467136a4
141194d9d937
15905019326
hex5623dbfdd

23123050461 has 36 divisors (see below), whose sum is σ = 39489997404. Its totient is φ = 12996547200.

The previous prime is 23123050409. The next prime is 23123050471. The reversal of 23123050461 is 16405032132.

23123050461 is a `hidden beast` number, since 2 + 312 + 305 + 0 + 46 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1600400025 + 21522650436 = 40005^2 + 146706^2 .

It is a de Polignac number, because none of the positive numbers 2k-23123050461 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23123050471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 402880 + ... + 456681.

Almost surely, 223123050461 is an apocalyptic number.

23123050461 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

23123050461 is a deficient number, since it is larger than the sum of its proper divisors (16366946943).

23123050461 is a wasteful number, since it uses less digits than its factorization.

23123050461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859642 (or 859632 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 23123050461 its reverse (16405032132), we get a palindrome (39528082593).

The spelling of 23123050461 in words is "twenty-three billion, one hundred twenty-three million, fifty thousand, four hundred sixty-one".

Divisors: 1 3 7 9 21 49 61 63 147 183 427 441 549 1281 2989 3843 8967 26901 859561 2578683 6016927 7736049 18050781 42118489 52433221 54152343 126355467 157299663 367032547 379066401 471898989 1101097641 2569227829 3303292923 7707683487 23123050461