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100100311022940 = 22351923291131165001
BaseRepresentation
bin10110110000101001101011…
…011110101111110101011100
3111010102111101210012110210120
4112300221223132233311130
5101110020414110213230
6552521240440034540
730041003010600204
oct2660515336576534
9433374353173716
10100100311022940
1129993337a65428
12b28813b762a50
1343b155a212817
141aa0c492b5404
15b88c8ae94310
hex5b0a6b7afd5c

100100311022940 has 384 divisors, whose sum is σ = 321294503577600. Its totient is φ = 23148195840000.

The previous prime is 100100311022903. The next prime is 100100311022941. The reversal of 100100311022940 is 49220113001001.

It is a self number, because there is not a number n which added to its sum of digits gives 100100311022940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100311022941) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 85340440 + ... + 86505440.

It is an arithmetic number, because the mean of its divisors is an integer number (836704436400).

Almost surely, 2100100311022940 is an apocalyptic number.

100100311022940 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 100100311022940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160647251788800).

100100311022940 is an abundant number, since it is smaller than the sum of its proper divisors (221194192554660).

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

100100311022940 is a wasteful number, since it uses less digits than its factorization.

100100311022940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165197 (or 1165195 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 100100311022940 its reverse (49220113001001), we get a palindrome (149320424023941).

The spelling of 100100311022940 in words is "one hundred trillion, one hundred billion, three hundred eleven million, twenty-two thousand, nine hundred forty".