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10312202240 = 21151099239
BaseRepresentation
bin10011001101010011…
…11011100000000000
3222121200020011002022
421212221323200000
5132104410432430
64423134141012
7513355162364
oct114651734000
928550204068
1010312202240
114411a7319a
121bb9651768
13c8459b322
146db7d12a4
154054cc4e5
hex266a7b800

10312202240 has 96 divisors (see below), whose sum is σ = 24972948000. Its totient is φ = 4086595584.

The previous prime is 10312202189. The next prime is 10312202293. The reversal of 10312202240 is 4220221301.

It is a super-2 number, since 2×103122022402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1111541 + ... + 1120779.

It is an arithmetic number, because the mean of its divisors is an integer number (260134875).

Almost surely, 210312202240 is an apocalyptic number.

10312202240 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 10312202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12486474000).

10312202240 is an abundant number, since it is smaller than the sum of its proper divisors (14660745760).

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

10312202240 is an equidigital number, since it uses as much as digits as its factorization.

10312202240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9375 (or 9355 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 10312202240 its reverse (4220221301), we get a palindrome (14532423541).

The spelling of 10312202240 in words is "ten billion, three hundred twelve million, two hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 109 128 160 218 256 320 436 512 545 640 872 1024 1090 1280 1744 2048 2180 2560 3488 4360 5120 6976 8720 9239 10240 13952 17440 18478 27904 34880 36956 46195 55808 69760 73912 92390 111616 139520 147824 184780 223232 279040 295648 369560 558080 591296 739120 1007051 1116160 1182592 1478240 2014102 2365184 2956480 4028204 4730368 5035255 5912960 8056408 9460736 10070510 11825920 16112816 18921472 20141020 23651840 32225632 40282040 47303680 64451264 80564080 94607360 128902528 161128160 257805056 322256320 515610112 644512640 1031220224 1289025280 2062440448 2578050560 5156101120 10312202240