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100100001120 = 253571710117351
BaseRepresentation
bin101110100111001101…
…1001100110101100000
3100120101010210220222220
41131032123030311200
53120001100013440
6113552454231040
710142366653650
oct1351633146540
9316333726886
10100100001120
11394a7928459
1217497355480
1395934538c2
144bb8452360
15290cdde8d0
hex174e6ccd60

100100001120 has 384 divisors, whose sum is σ = 385357658112. Its totient is φ = 21319680000.

The previous prime is 100100001091. The next prime is 100100001139. The reversal of 100100001120 is 21100001001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 100100001099 and 100100001108.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5760445 + ... + 5777795.

It is an arithmetic number, because the mean of its divisors is an integer number (1003535568).

Almost surely, 2100100001120 is an apocalyptic number.

100100001120 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 100100001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192678829056).

100100001120 is an abundant number, since it is smaller than the sum of its proper divisors (285257656992).

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

100100001120 is a wasteful number, since it uses less digits than its factorization.

100100001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17494 (or 17486 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 100100001120 its reverse (21100001001), we get a palindrome (121200002121).

The spelling of 100100001120 in words is "one hundred billion, one hundred million, one thousand, one hundred twenty".