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104332210032 = 2434767768311
BaseRepresentation
bin110000100101010101…
…1110010111101110000
3100222022002110102012010
41201022223302331300
53202133021210112
6115532441202520
710352310103311
oct1411253627560
9328262412163
10104332210032
11402798a3676
1218278790440
139ab91c8b2b
14509a570608
152aa973263c
hex184aaf2f70

104332210032 has 80 divisors (see below), whose sum is σ = 275670070272. Its totient is φ = 33986684160.

The previous prime is 104332210001. The next prime is 104332210049. The reversal of 104332210032 is 230012233401.

It is a super-2 number, since 2×1043322100322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 104332209990 and 104332210008.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1493157 + ... + 1561467.

Almost surely, 2104332210032 is an apocalyptic number.

104332210032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104332210032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137835035136).

104332210032 is an abundant number, since it is smaller than the sum of its proper divisors (171337860240).

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

104332210032 is a wasteful number, since it uses less digits than its factorization.

104332210032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69046 (or 69040 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 104332210032 its reverse (230012233401), we get a palindrome (334344443433).

The spelling of 104332210032 in words is "one hundred four billion, three hundred thirty-two million, two hundred ten thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 677 752 1128 1354 2031 2256 2708 4062 5416 8124 10832 16248 31819 32496 63638 68311 95457 127276 136622 190914 204933 254552 273244 381828 409866 509104 546488 763656 819732 1092976 1527312 1639464 3210617 3278928 6421234 9631851 12842468 19263702 25684936 38527404 46246547 51369872 77054808 92493094 138739641 154109616 184986188 277479282 369972376 554958564 739944752 1109917128 2173587709 2219834256 4347175418 6520763127 8694350836 13041526254 17388701672 26083052508 34777403344 52166105016 104332210032