Search a number
-
+
10000013101 = 1319612392777
BaseRepresentation
bin10010101000000110…
…00001011100101101
3221210220210022002121
421110003001130231
5130440000404401
64332142552541
7502544465101
oct112403013455
927726708077
1010000013101
114271823941
121b30b98751
13c349c3420
146ac167901
153d7db1ca1
hex2540c172d

10000013101 has 32 divisors (see below), whose sum is σ = 11574259200. Its totient is φ = 8562516480.

The previous prime is 10000013081. The next prime is 10000013123. The reversal of 10000013101 is 10131000001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10000013101 - 25 = 10000013069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000013141) 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, 3599625 + ... + 3602401.

It is an arithmetic number, because the mean of its divisors is an integer number (361695600).

Almost surely, 210000013101 is an apocalyptic number.

It is an amenable number.

10000013101 is a deficient number, since it is larger than the sum of its proper divisors (1574246099).

10000013101 is a wasteful number, since it uses less digits than its factorization.

10000013101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3109.

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 10000013101 its reverse (10131000001), we get a palindrome (20131013102).

The spelling of 10000013101 in words is "ten billion, thirteen thousand, one hundred one".

Divisors: 1 13 19 61 239 247 793 1159 2777 3107 4541 14579 15067 36101 52763 59033 169397 189527 277001 663703 685919 2202161 3218543 3601013 8628139 12610357 40485883 41841059 163934641 526316479 769231777 10000013101