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100312111013100 = 22352752192779883
BaseRepresentation
bin10110110011101110111011…
…101111100101110011101100
3111011011202002111020202201120
4112303232323233211303230
5101122003200404404400
6553202425252540540
730062211424032660
oct2663567357456354
9434152074222646
10100312111013100
1129a65144598908
12b3011ab021750
1343c851210789c
141aab1bc5cc8a0
15b8e53532bca0
hex5b3bbbbe5cec

100312111013100 has 288 divisors, whose sum is σ = 332404825729536. Its totient is φ = 22879691827200.

The previous prime is 100312111013083. The next prime is 100312111013119. The reversal of 100312111013100 is 1310111213001.

It is a super-2 number, since 2×1003121110131002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100312111013100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10149960759 + ... + 10149970641.

It is an arithmetic number, because the mean of its divisors is an integer number (1154183422672).

Almost surely, 2100312111013100 is an apocalyptic number.

100312111013100 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 100312111013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166202412864768).

100312111013100 is an abundant number, since it is smaller than the sum of its proper divisors (232092714716436).

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

100312111013100 is a wasteful number, since it uses less digits than its factorization.

100312111013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19705 (or 19698 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 100312111013100 its reverse (1310111213001), we get a palindrome (101622222226101).

The spelling of 100312111013100 in words is "one hundred trillion, three hundred twelve billion, one hundred eleven million, thirteen thousand, one hundred".