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100101011000000 = 2656293451759
BaseRepresentation
bin10110110000101010010101…
…001100111100101011000000
3111010102120012120022222210212
4112300222111030330223000
5101110023332304000000
6552521434123013252
730041026240364513
oct2660522514745300
9433376176288725
10100101011000000
112999366709956a
12b2882b606a228
1343b163c24462a
141aa0cb4244d7a
15b88ccc65ec35
hex5b0a9533cac0

100101011000000 has 196 divisors, whose sum is σ = 256856196573600. Its totient is φ = 38659689600000.

The previous prime is 100101010999993. The next prime is 100101011000077. The reversal of 100101011000000 is 110101001.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 27274121 + ... + 30725879.

Almost surely, 2100101011000000 is an apocalyptic number.

100101011000000 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 100101011000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128428098286800).

100101011000000 is an abundant number, since it is smaller than the sum of its proper divisors (156755185573600).

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

100101011000000 is an frugal number, since it uses more digits than its factorization.

100101011000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3451830 (or 3451795 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 100101011000000 its reverse (110101001), we get a palindrome (100101121101001).

The spelling of 100101011000000 in words is "one hundred trillion, one hundred one billion, eleven million", and thus it is an aban number.