Search a number
-
+
109524123108 = 22361923611409
BaseRepresentation
bin110011000000000100…
…1010111110111100100
3101110200220221221000000
41212000021113313210
53243301133414413
6122151550021300
710625052454161
oct1460011276744
9343626857000
10109524123108
11424a356a824
12192874a7830
13a435a3cb4a
14542dd0b068
152cb0447073
hex1980257de4

109524123108 has 336 divisors, whose sum is σ = 321048201600. Its totient is φ = 32517365760.

The previous prime is 109524123101. The next prime is 109524123119. The reversal of 109524123108 is 801321425901.

109524123108 is a `hidden beast` number, since 1 + 0 + 9 + 524 + 1 + 23 + 108 = 666.

It is a super-3 number, since 3×1095241231083 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (109524123101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 77731108 + ... + 77732516.

It is an arithmetic number, because the mean of its divisors is an integer number (955500600).

Almost surely, 2109524123108 is an apocalyptic number.

109524123108 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109524123108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160524100800).

109524123108 is an abundant number, since it is smaller than the sum of its proper divisors (211524078492).

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

109524123108 is a wasteful number, since it uses less digits than its factorization.

109524123108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 109524123108 in words is "one hundred nine billion, five hundred twenty-four million, one hundred twenty-three thousand, one hundred eight".