Search a number
-
+
11310013098 = 2334119725931
BaseRepresentation
bin10101000100010000…
…10001101010101010
31002012012210012021000
422202020101222222
5141130330404343
65110140455430
7550162345056
oct124210215252
932165705230
1011310013098
11488423126a
12223784a576
1310b321cc57
1479412cc66
15462dc9ed3
hex2a2211aaa

11310013098 has 64 divisors (see below), whose sum is σ = 25878061440. Its totient is φ = 3659241600.

The previous prime is 11310013097. The next prime is 11310013129. The reversal of 11310013098 is 89031001311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11310013097) 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 31 ways as a sum of consecutive naturals, for example, 423193 + ... + 449123.

It is an arithmetic number, because the mean of its divisors is an integer number (404344710).

Almost surely, 211310013098 is an apocalyptic number.

11310013098 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11310013098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12939030720).

11310013098 is an abundant number, since it is smaller than the sum of its proper divisors (14568048342).

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

11310013098 is a wasteful number, since it uses less digits than its factorization.

11310013098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26180 (or 26174 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The spelling of 11310013098 in words is "eleven billion, three hundred ten million, thirteen thousand, ninety-eight".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 197 246 369 394 591 738 1107 1182 1773 2214 3546 5319 8077 10638 16154 24231 25931 48462 51862 72693 77793 145386 155586 218079 233379 436158 466758 700137 1063171 1400274 2126342 3189513 5108407 6379026 9568539 10216814 15325221 19137078 28705617 30650442 45975663 57411234 91951326 137926989 209444687 275853978 418889374 628334061 1256668122 1885002183 3770004366 5655006549 11310013098