Search a number
-
+
100320111230020 = 2251141101691159361
BaseRepresentation
bin10110110011110110011000…
…100101111111110001000100
3111011012111202001001220011221
4112303312120211333301010
5101122121041433330040
6553210231201210124
730062613606535363
oct2663663045776104
9434174661056157
10100320111230020
1129a6857a4a4230
12b302862330944
1343c91b86c5656
141aab73ad117da
15b8e85286b74a
hex5b3d9897fc44

100320111230020 has 192 divisors, whose sum is σ = 238106288012544. Its totient is φ = 35186688000000.

The previous prime is 100320111229999. The next prime is 100320111230021. The reversal of 100320111230020 is 20032111023001.

It is a super-3 number, since 3×1003201112300203 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100320111229976 and 100320111230003.

It is not an unprimeable number, because it can be changed into a prime (100320111230021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 629435140 + ... + 629594500.

It is an arithmetic number, because the mean of its divisors is an integer number (1240136916732).

Almost surely, 2100320111230020 is an apocalyptic number.

100320111230020 is a gapful number since it is divisible by the number (10) 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 100320111230020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119053144006272).

100320111230020 is an abundant number, since it is smaller than the sum of its proper divisors (137786176782524).

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

100320111230020 is a wasteful number, since it uses less digits than its factorization.

100320111230020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160214 (or 160212 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 100320111230020 its reverse (20032111023001), we get a palindrome (120352222253021).

It can be divided in two parts, 1003201 and 11230020, that added together give a palindrome (12233221).

The spelling of 100320111230020 in words is "one hundred trillion, three hundred twenty billion, one hundred eleven million, two hundred thirty thousand, twenty".