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20101113324 = 22325910193701
BaseRepresentation
bin10010101110000111…
…101010010111101100
31220212212210100122200
4102232013222113230
5312131341111244
613122340341500
71311060433635
oct225607522754
956785710580
1020101113324
118585610a56
123a8b9a4890
131b8461b0c6
14d898c688c
157c9a90669
hex4ae1ea5ec

20101113324 has 72 divisors (see below), whose sum is σ = 52184517840. Its totient is φ = 6521520000.

The previous prime is 20101113323. The next prime is 20101113359. The reversal of 20101113324 is 42331110102.

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 = 20101113297 and 20101113306.

It is not an unprimeable number, because it can be changed into a prime (20101113323) by changing a digit.

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, 167674 + ... + 261374.

It is an arithmetic number, because the mean of its divisors is an integer number (724784970).

Almost surely, 220101113324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20101113324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26092258920).

20101113324 is an abundant number, since it is smaller than the sum of its proper divisors (32083404516).

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

20101113324 is a wasteful number, since it uses less digits than its factorization.

20101113324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93871 (or 93866 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 20101113324 its reverse (42331110102), we get a palindrome (62432223426).

The spelling of 20101113324 in words is "twenty billion, one hundred one million, one hundred thirteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 59 101 118 177 202 236 303 354 404 531 606 708 909 1062 1212 1818 2124 3636 5959 11918 17877 23836 35754 53631 71508 93701 107262 187402 214524 281103 374804 562206 843309 1124412 1686618 3373236 5528359 9463801 11056718 16585077 18927602 22113436 28391403 33170154 37855204 49755231 56782806 66340308 85174209 99510462 113565612 170348418 199020924 340696836 558364259 1116728518 1675092777 2233457036 3350185554 5025278331 6700371108 10050556662 20101113324