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23034144133 = 71113731013121
BaseRepresentation
bin10101011100111100…
…010010010110000101
32012110021210202112101
4111130330102112011
5334133220103013
614325353352101
71443543665110
oct253474222605
965407722471
1023034144133
1198501a0460
12456a108631
1322311854b0
141187259577
158ec3068dd
hex55cf12585

23034144133 has 64 divisors (see below), whose sum is σ = 31671166464. Its totient is φ = 16174080000.

The previous prime is 23034144127. The next prime is 23034144139. The reversal of 23034144133 is 33144143032.

It is an interprime number because it is at equal distance from previous prime (23034144127) and next prime (23034144139).

It is not a de Polignac number, because 23034144133 - 217 = 23034013061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23034144139) 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 63 ways as a sum of consecutive naturals, for example, 7378813 + ... + 7381933.

It is an arithmetic number, because the mean of its divisors is an integer number (494861976).

Almost surely, 223034144133 is an apocalyptic number.

It is an amenable number.

23034144133 is a deficient number, since it is larger than the sum of its proper divisors (8637022331).

23034144133 is a wasteful number, since it uses less digits than its factorization.

23034144133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3326.

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 23034144133 its reverse (33144143032), we get a palindrome (56178287165).

The spelling of 23034144133 in words is "twenty-three billion, thirty-four million, one hundred forty-four thousand, one hundred thirty-three".

Divisors: 1 7 11 13 73 77 91 101 143 511 707 803 949 1001 1111 1313 3121 5621 6643 7373 7777 9191 10439 14443 21847 34331 40573 51611 73073 81103 95849 101101 227833 240317 284011 315221 446303 567721 670943 1054339 1594831 2206547 2506163 2961829 3124121 3467431 4097873 7380373 17543141 20732803 23011133 24272017 28685111 32580119 45076603 161077931 228060833 253122463 299144729 315536221 1771857241 2094013103 3290592019 23034144133