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23125030434 = 23211271149543
BaseRepresentation
bin10101100010010110…
…111111011000100010
32012200121211021002200
4111202112333120202
5334330001433214
614342401354030
71446026341542
oct254226773042
965617737080
1023125030434
119897527700
124594638916
132246c5797c
141195357322
159052aad09
hex5625bf622

23125030434 has 72 divisors (see below), whose sum is σ = 55849300416. Its totient is φ = 6908840400.

The previous prime is 23125030429. The next prime is 23125030541. The reversal of 23125030434 is 43403052132.

It is a junction number, because it is equal to n+sod(n) for n = 23125030398 and 23125030407.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 79867 + ... + 229409.

It is an arithmetic number, because the mean of its divisors is an integer number (775684728).

Almost surely, 223125030434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23125030434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27924650208).

23125030434 is an abundant number, since it is smaller than the sum of its proper divisors (32724269982).

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

23125030434 is a wasteful number, since it uses less digits than its factorization.

23125030434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149644 (or 149630 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 23125030434 its reverse (43403052132), we get a palindrome (66528082566).

The spelling of 23125030434 in words is "twenty-three billion, one hundred twenty-five million, thirty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 71 99 121 142 198 213 242 363 426 639 726 781 1089 1278 1562 2178 2343 4686 7029 8591 14058 17182 25773 51546 77319 149543 154638 299086 448629 897258 1345887 1644973 2691774 3289946 4934919 9869838 10617553 14804757 18094703 21235106 29609514 31852659 36189406 54284109 63705318 95557977 108568218 116793083 162852327 191115954 233586166 325704654 350379249 700758498 1051137747 1284723913 2102275494 2569447826 3854171739 7708343478 11562515217 23125030434