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10032230112 = 253163677947
BaseRepresentation
bin10010101011111011…
…11010111011100000
3221220011102002112020
421111331322323200
5131021222330422
64335253301440
7503415356202
oct112575727340
927804362466
1010032230112
114288a28a73
121b3b934880
13c3b593548
146b2552772
153dab2795c
hex255f7aee0

10032230112 has 96 divisors (see below), whose sum is σ = 26563324032. Its totient is φ = 3315147264.

The previous prime is 10032230093. The next prime is 10032230113. The reversal of 10032230112 is 21103223001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 10032230091 and 10032230100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10032230113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10593223 + ... + 10594169.

It is an arithmetic number, because the mean of its divisors is an integer number (276701292).

Almost surely, 210032230112 is an apocalyptic number.

10032230112 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 10032230112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13281662016).

10032230112 is an abundant number, since it is smaller than the sum of its proper divisors (16531093920).

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

10032230112 is a wasteful number, since it uses less digits than its factorization.

10032230112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1800 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10032230112 its reverse (21103223001), we get a palindrome (31135453113).

The spelling of 10032230112 in words is "ten billion, thirty-two million, two hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 163 326 489 652 677 947 978 1304 1354 1894 1956 2031 2608 2708 2841 3788 3912 4062 5216 5416 5682 7576 7824 8124 10832 11364 15152 15648 16248 21664 22728 30304 32496 45456 64992 90912 110351 154361 220702 308722 331053 441404 463083 617444 641119 662106 882808 926166 1234888 1282238 1324212 1765616 1852332 1923357 2469776 2564476 2648424 3531232 3704664 3846714 4939552 5128952 5296848 7409328 7693428 10257904 10593696 14818656 15386856 20515808 30773712 61547424 104502397 209004794 313507191 418009588 627014382 836019176 1254028764 1672038352 2508057528 3344076704 5016115056 10032230112