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10432130104 = 23111721492753
BaseRepresentation
bin10011011011100110…
…11010110000111000
3222221000220010012001
421231303122300320
5132331111130404
64443100430344
7516342433324
oct115563326070
928830803161
1010432130104
114473735830
1220318483b4
13ca339b466
1470d6cc984
15410cbb7a4
hex26dcdac38

10432130104 has 96 divisors (see below), whose sum is σ = 22827906000. Its totient is φ = 4431380480.

The previous prime is 10432130089. The next prime is 10432130113. The reversal of 10432130104 is 40103123401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3787992 + ... + 3790744.

Almost surely, 210432130104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10432130104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11413953000).

10432130104 is an abundant number, since it is smaller than the sum of its proper divisors (12395775896).

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

10432130104 is a wasteful number, since it uses less digits than its factorization.

10432130104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2953 (or 2932 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 10432130104 its reverse (40103123401), we get a palindrome (50535253505).

The spelling of 10432130104 in words is "ten billion, four hundred thirty-two million, one hundred thirty thousand, one hundred four".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 149 187 289 298 374 578 596 748 1156 1192 1496 1639 2312 2533 2753 3179 3278 5066 5506 6358 6556 10132 11012 12716 13112 20264 22024 25432 27863 30283 43061 46801 55726 60566 86122 93602 111452 121132 172244 187204 222904 242264 344488 374408 410197 473671 514811 795617 820394 947342 1029622 1591234 1640788 1894684 2059244 3182468 3281576 3789368 4118488 4512167 6364936 6973349 8751787 9024334 13946698 17503574 18048668 27893396 35007148 36097336 55786792 70014296 76706839 118546933 153413678 237093866 306827356 474187732 613654712 948375464 1304016263 2608032526 5216065052 10432130104