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10010200032 = 2532717292081
BaseRepresentation
bin10010101001010011…
…11000011111100000
3221211121221211221100
421110221320133200
5131000102400112
64333145154400
7503030203440
oct112451703740
927747854840
1010010200032
114277551498
121b3448ba00
13c36b4c0b1
146ad65a120
153d8c252dc
hex254a787e0

10010200032 has 144 divisors (see below), whose sum is σ = 34446982752. Its totient is φ = 2691809280.

The previous prime is 10010200021. The next prime is 10010200069. The reversal of 10010200032 is 23000201001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10010199987 and 10010200023.

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, 111769 + ... + 180312.

It is an arithmetic number, because the mean of its divisors is an integer number (239215158).

Almost surely, 210010200032 is an apocalyptic number.

10010200032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10010200032 is an abundant number, since it is smaller than the sum of its proper divisors (24436782720).

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

10010200032 is a wasteful number, since it uses less digits than its factorization.

10010200032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292121 (or 292110 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10010200032 its reverse (23000201001), we get a palindrome (33010401033).

The spelling of 10010200032 in words is "ten billion, ten million, two hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 42 48 51 56 63 68 72 84 96 102 112 119 126 136 144 153 168 204 224 238 252 272 288 306 336 357 408 476 504 544 612 672 714 816 952 1008 1071 1224 1428 1632 1904 2016 2142 2448 2856 3808 4284 4896 5712 8568 11424 17136 34272 292081 584162 876243 1168324 1752486 2044567 2336648 2628729 3504972 4089134 4673296 4965377 5257458 6133701 7009944 8178268 9346592 9930754 10514916 12267402 14019888 14896131 16356536 18401103 19861508 21029832 24534804 28039776 29792262 32713072 34757639 36802206 39723016 42059664 44688393 49069608 59584524 65426144 69515278 73604412 79446032 84119328 89376786 98139216 104272917 119169048 139030556 147208824 158892064 178753572 196278432 208545834 238338096 278061112 294417648 312818751 357507144 417091668 476676192 556122224 588835296 625637502 715014288 834183336 1112244448 1251275004 1430028576 1668366672 2502550008 3336733344 5005100016 10010200032