Search a number
-
+
10032300102 = 23113717323747
BaseRepresentation
bin10010101011111100…
…01100000001000110
3221220011112122112110
421111332030001012
5131021232100402
64335255001450
7503416100226
oct112576140106
927804478473
1010032300102
114288a76610
121b3b969286
13c3b5b9366
146b2570086
153dab3d56c
hex255f8c046

10032300102 has 64 divisors (see below), whose sum is σ = 22611135744. Its totient is φ = 2940704640.

The previous prime is 10032300037. The next prime is 10032300163. The reversal of 10032300102 is 20100323001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 410593 + ... + 434339.

It is an arithmetic number, because the mean of its divisors is an integer number (353298996).

Almost surely, 210032300102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10032300102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11305567872).

10032300102 is an abundant number, since it is smaller than the sum of its proper divisors (12578835642).

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

10032300102 is a wasteful number, since it uses less digits than its factorization.

10032300102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23973.

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10032300102 its reverse (20100323001), we get a palindrome (30132623103).

The spelling of 10032300102 in words is "ten billion, thirty-two million, three hundred thousand, one hundred two".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 173 222 346 407 519 814 1038 1221 1903 2442 3806 5709 6401 11418 12802 19203 23747 38406 47494 70411 71241 140822 142482 211233 261217 422466 522434 783651 878639 1567302 1757278 2635917 4108231 5271834 8216462 9665029 12324693 19330058 24649386 28995087 45190541 57990174 90381082 135571623 152004547 271143246 304009094 456013641 912027282 1672050017 3344100034 5016150051 10032300102