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23123441334 = 2372292412281
BaseRepresentation
bin10101100010010000…
…111011011010110110
32012200111211112021010
4111202100323122312
5334324100110314
614342303333050
71446010002600
oct254220733266
965614745233
1023123441334
1198966417a4
124593bb1186
13224681c586
141195062170
15905095059
hex56243b6b6

23123441334 has 144 divisors (see below), whose sum is σ = 57100404816. Its totient is φ = 6220569600.

The previous prime is 23123441333. The next prime is 23123441347. The reversal of 23123441334 is 43314432132.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23123441333) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10136274 + ... + 10138554.

It is an arithmetic number, because the mean of its divisors is an integer number (396530589).

Almost surely, 223123441334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23123441334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28550202408).

23123441334 is an abundant number, since it is smaller than the sum of its proper divisors (33976963482).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23123441334 is a wasteful number, since it uses less digits than its factorization.

23123441334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2399 (or 2363 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

Adding to 23123441334 its reverse (43314432132), we get a palindrome (66437873466).

The spelling of 23123441334 in words is "twenty-three billion, one hundred twenty-three million, four hundred forty-one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 29 41 42 49 58 82 87 98 123 147 174 203 246 287 294 406 574 609 841 861 1189 1218 1421 1682 1722 2009 2281 2378 2523 2842 3567 4018 4263 4562 5046 5887 6027 6843 7134 8323 8526 11774 12054 13686 15967 16646 17661 24969 31934 34481 35322 41209 47901 49938 58261 66149 68962 82418 93521 95802 103443 111769 116522 123627 132298 174783 187042 198447 206886 223538 241367 247254 280563 335307 349566 396894 463043 482734 561126 654647 670614 724101 926086 1309294 1389129 1448202 1689569 1918321 1963941 2712109 2778258 3241301 3379138 3836642 3927882 4582529 5068707 5424218 5754963 6482602 8136327 9165058 9723903 10137414 11509926 13428247 13747587 16272654 18984763 19447806 26856494 27495174 37969526 40284741 56954289 78651161 80569482 93997729 113908578 132893341 157302322 187995458 235953483 265786682 281993187 398680023 471906966 550558127 563986374 797360046 1101116254 1651674381 3303348762 3853906889 7707813778 11561720667 23123441334