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10221312200 = 23521119244529
BaseRepresentation
bin10011000010011110…
…01101100011001000
3222101100012110101112
421201033031203020
5131413123442300
64410130105452
7511202502011
oct114117154310
928340173345
1010221312200
114375734160
121b9311b288
13c6b7c7238
146cd6d2008
153ec526e35
hex2613cd8c8

10221312200 has 96 divisors (see below), whose sum is σ = 27289548000. Its totient is φ = 3521203200.

The previous prime is 10221312163. The next prime is 10221312209. The reversal of 10221312200 is 221312201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10221312209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80465 + ... + 164064.

It is an arithmetic number, because the mean of its divisors is an integer number (284266125).

Almost surely, 210221312200 is an apocalyptic number.

10221312200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221312200 is an abundant number, since it is smaller than the sum of its proper divisors (17068235800).

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

10221312200 is a wasteful number, since it uses less digits than its factorization.

10221312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244575 (or 244566 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10221312200 its reverse (221312201), we get a palindrome (10442624401).

Subtracting from 10221312200 its reverse (221312201), we obtain a palindrome (9999999999).

The spelling of 10221312200 in words is "ten billion, two hundred twenty-one million, three hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 19 20 22 25 38 40 44 50 55 76 88 95 100 110 152 190 200 209 220 275 380 418 440 475 550 760 836 950 1045 1100 1672 1900 2090 2200 3800 4180 5225 8360 10450 20900 41800 244529 489058 978116 1222645 1956232 2445290 2689819 4646051 4890580 5379638 6113225 9292102 9781160 10759276 12226450 13449095 18584204 21518552 23230255 24452900 26898190 37168408 46460510 48905800 51106561 53796380 67245475 92921020 102213122 107592760 116151275 134490950 185842040 204426244 232302550 255532805 268981900 408852488 464605100 511065610 537963800 929210200 1022131220 1277664025 2044262440 2555328050 5110656100 10221312200