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10032310002 = 231113101115769
BaseRepresentation
bin10010101011111100…
…01110011011110010
3221220011120011010010
421111332032123302
5131021232410002
64335255115350
7503416141131
oct112576163362
927804504103
1010032310002
114288a82aa0
121b3b972b56
13c3b5c0a10
146b2573918
153dab4146c
hex255f8e6f2

10032310002 has 64 divisors (see below), whose sum is σ = 23806016640. Its totient is φ = 2778432000.

The previous prime is 10032309983. The next prime is 10032310003. The reversal of 10032310002 is 20001323001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10032310002.

It is not an unprimeable number, because it can be changed into a prime (10032310003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28774 + ... + 144542.

It is an arithmetic number, because the mean of its divisors is an integer number (371969010).

Almost surely, 210032310002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10032310002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11903008320).

10032310002 is an abundant number, since it is smaller than the sum of its proper divisors (13773706638).

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

10032310002 is a wasteful number, since it uses less digits than its factorization.

10032310002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115899.

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

Adding to 10032310002 its reverse (20001323001), we get a palindrome (30033633003).

The spelling of 10032310002 in words is "ten billion, thirty-two million, three hundred ten thousand, two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 101 143 202 286 303 429 606 858 1111 1313 2222 2626 3333 3939 6666 7878 14443 28886 43329 86658 115769 231538 347307 694614 1273459 1504997 2546918 3009994 3820377 4514991 7640754 9029982 11692669 16554967 23385338 33109934 35078007 49664901 70156014 99329802 128619359 152004697 257238718 304009394 385858077 456014091 771716154 912028182 1672051667 3344103334 5016155001 10032310002