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10340112200 = 23521117212731
BaseRepresentation
bin10011010000101000…
…11001011101001000
3222200121202010100112
421220110121131020
5132134032042300
64430012253452
7514144334465
oct115024313510
928617663315
1010340112200
1144267a6380
122006a71288
13c8a2c0bb2
147013b866c
15407b91e35
hex268519748

10340112200 has 96 divisors (see below), whose sum is σ = 26251132320. Its totient is φ = 3756480000.

The previous prime is 10340112169. The next prime is 10340112203. The reversal of 10340112200 is 221104301.

It is not an unprimeable number, because it can be changed into a prime (10340112203) 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, 3784835 + ... + 3787565.

It is an arithmetic number, because the mean of its divisors is an integer number (273449295).

Almost surely, 210340112200 is an apocalyptic number.

10340112200 is a gapful number since it is divisible by the number (10) 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 10340112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13125566160).

10340112200 is an abundant number, since it is smaller than the sum of its proper divisors (15911020120).

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

10340112200 is a wasteful number, since it uses less digits than its factorization.

10340112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4479 (or 4470 counting only the distinct ones).

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

Adding to 10340112200 its reverse (221104301), we get a palindrome (10561216501).

The spelling of 10340112200 in words is "ten billion, three hundred forty million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 1721 2200 2731 3442 5462 6884 8605 10924 13655 13768 17210 18931 21848 27310 30041 34420 37862 43025 54620 60082 68275 68840 75724 86050 94655 109240 120164 136550 150205 151448 172100 189310 240328 273100 300410 344200 378620 473275 546200 600820 751025 757240 946550 1201640 1502050 1893100 3004100 3786200 4700051 6008200 9400102 18800204 23500255 37600408 47000510 51700561 94001020 103401122 117501275 188002040 206802244 235002550 258502805 413604488 470005100 517005610 940010200 1034011220 1292514025 2068022440 2585028050 5170056100 10340112200