Search a number
-
+
10104413202 = 2341327717321
BaseRepresentation
bin10010110100100010…
…10001110000010010
3222002012020101010000
421122101101300102
5131143212210302
64350352350430
7505253044422
oct113221216022
928065211100
1010104413202
114315750214
121b5bb45416
13c50517930
146bbd82482
153e213531c
hex25a451c12

10104413202 has 80 divisors (see below), whose sum is σ = 24472452312. Its totient is φ = 3097647360.

The previous prime is 10104413201. The next prime is 10104413227. The reversal of 10104413202 is 20231440101.

10104413202 is a `hidden beast` number, since 10 + 10 + 441 + 3 + 202 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4084360281 + 6020052921 = 63909^2 + 77589^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10104413201) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 574702 + ... + 592022.

Almost surely, 210104413202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10104413202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12236226156).

10104413202 is an abundant number, since it is smaller than the sum of its proper divisors (14368039110).

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

10104413202 is a wasteful number, since it uses less digits than its factorization.

10104413202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17625 (or 17616 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10104413202 its reverse (20231440101), we get a palindrome (30335853303).

The spelling of 10104413202 in words is "ten billion, one hundred four million, four hundred thirteen thousand, two hundred two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 277 351 554 702 831 1053 1662 2106 2493 3601 4986 7202 7479 10803 14958 17321 21606 22437 32409 34642 44874 51963 64818 97227 103926 155889 194454 225173 291681 311778 450346 467667 583362 675519 935334 1351038 1403001 2026557 2806002 4053114 4797917 6079671 9595834 12159342 14393751 18239013 28787502 36478026 43181253 62372921 86362506 124745842 129543759 187118763 259087518 374237526 388631277 561356289 777262554 1122712578 1684068867 3368137734 5052206601 10104413202