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100100100111102 = 233713172947879133
BaseRepresentation
bin10110110000101001011110…
…111010001011101011111110
3111010102110212002100001011000
4112300221132322023223332
5101110020001112023402
6552521203503311130
730040664540064660
oct2660513672135376
9433373762301130
10100100100111102
11299932399aa223
12b2880a0bab4a6
1343b1525607910
141aa0c29292530
15b88c776d1c1c
hex5b0a5ee8bafe

100100100111102 has 512 divisors, whose sum is σ = 306259340083200. Its totient is φ = 23479829323776.

The previous prime is 100100100111019. The next prime is 100100100111113. The reversal of 100100100111102 is 201111001001001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 113422728 + ... + 114301860.

It is an arithmetic number, because the mean of its divisors is an integer number (598162773600).

Almost surely, 2100100100111102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100100100111102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153129670041600).

100100100111102 is an abundant number, since it is smaller than the sum of its proper divisors (206159239972098).

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

100100100111102 is a wasteful number, since it uses less digits than its factorization.

100100100111102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879257 (or 879251 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100100100111102 its reverse (201111001001001), we get a palindrome (301211101112103).

The spelling of 100100100111102 in words is "one hundred trillion, one hundred billion, one hundred million, one hundred eleven thousand, one hundred two".