Search a number
-
+
10031332300 = 22521175112143
BaseRepresentation
bin10010101011110100…
…11111101111001100
3221220002201110221221
421111322133233030
5131021010113200
64335222133124
7503404626523
oct112572375714
927802643857
1010031332300
114288475480
121b3b5811a4
13c3b33a9b2
146b239b4ba
153da9eb91a
hex255e9fbcc

10031332300 has 72 divisors (see below), whose sum is σ = 23780477952. Its totient is φ = 3642600000.

The previous prime is 10031332291. The next prime is 10031332327. The reversal of 10031332300 is 323313001.

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, 820029 + ... + 832171.

It is an arithmetic number, because the mean of its divisors is an integer number (330284416).

Almost surely, 210031332300 is an apocalyptic number.

10031332300 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 10031332300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11890238976).

10031332300 is an abundant number, since it is smaller than the sum of its proper divisors (13749145652).

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

10031332300 is a wasteful number, since it uses less digits than its factorization.

10031332300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12919 (or 12912 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 10031332300 its reverse (323313001), we get a palindrome (10354645301).

The spelling of 10031332300 in words is "ten billion, thirty-one million, three hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 751 1100 1502 3004 3755 7510 8261 12143 15020 16522 18775 24286 33044 37550 41305 48572 60715 75100 82610 121430 133573 165220 206525 242860 267146 303575 413050 534292 607150 667865 826100 1214300 1335730 2671460 3339325 6678650 9119393 13357300 18238786 36477572 45596965 91193930 100313323 182387860 200626646 227984825 401253292 455969650 501566615 911939300 1003133230 2006266460 2507833075 5015666150 10031332300