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10132004322 = 23211103496813
BaseRepresentation
bin10010110111110101…
…00001110111100010
3222011010011011000100
421123322201313202
5131222243114242
64353220003230
7506036421126
oct113372416742
928133134010
1010132004322
11432a2858a0
121b69230516
13c5615833b
146c18c5586
153e478554c
hex25bea1de2

10132004322 has 48 divisors (see below), whose sum is σ = 24180931008. Its totient is φ = 3040489440.

The previous prime is 10132004297. The next prime is 10132004339. The reversal of 10132004322 is 22340023101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10132004295 and 10132004304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228013 + ... + 268800.

It is an arithmetic number, because the mean of its divisors is an integer number (503769396).

Almost surely, 210132004322 is an apocalyptic number.

10132004322 is an abundant number, since it is smaller than the sum of its proper divisors (14048926686).

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

10132004322 is a wasteful number, since it uses less digits than its factorization.

10132004322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496935 (or 496932 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10132004322 its reverse (22340023101), we get a palindrome (32472027423).

The spelling of 10132004322 in words is "ten billion, one hundred thirty-two million, four thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 103 198 206 309 618 927 1133 1854 2266 3399 6798 10197 20394 496813 993626 1490439 2980878 4471317 5464943 8942634 10929886 16394829 32789658 49184487 51171739 98368974 102343478 153515217 307030434 460545651 562889129 921091302 1125778258 1688667387 3377334774 5066002161 10132004322