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10452731300 = 22521173130171
BaseRepresentation
bin10011011110000100…
…00000010110100100
3222222110122202201022
421233002000112210
5132401344400200
64445114150312
7520012515164
oct115702002644
928873582638
1010452731300
114484326810
122038722398
13ca773240b
147123325a4
154129da885
hex26f0805a4

10452731300 has 72 divisors (see below), whose sum is σ = 25083623712. Its totient is φ = 3748896000.

The previous prime is 10452731293. The next prime is 10452731327. The reversal of 10452731300 is 313725401.

It is a self number, because there is not a number n which added to its sum of digits gives 10452731300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15215 + ... + 145385.

Almost surely, 210452731300 is an apocalyptic number.

10452731300 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 10452731300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12541811856).

10452731300 is an abundant number, since it is smaller than the sum of its proper divisors (14630892412).

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

10452731300 is a wasteful number, since it uses less digits than its factorization.

10452731300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130269 (or 130262 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The spelling of 10452731300 in words is "ten billion, four hundred fifty-two million, seven hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 73 100 110 146 220 275 292 365 550 730 803 1100 1460 1606 1825 3212 3650 4015 7300 8030 16060 20075 40150 80300 130171 260342 520684 650855 1301710 1431881 2603420 2863762 3254275 5727524 6508550 7159405 9502483 13017100 14318810 19004966 28637620 35797025 38009932 47512415 71594050 95024830 104527313 143188100 190049660 209054626 237562075 418109252 475124150 522636565 950248300 1045273130 2090546260 2613182825 5226365650 10452731300