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110100121020 = 22335203889113
BaseRepresentation
bin110011010001001111…
…0101000010110111100
3101112012001210122121000
41212202132220112330
53300441112333040
6122325043410300
710645245405321
oct1464236502674
9345161718530
10110100121020
114276971455a
1219408383990
13a4c8183806
145486606b48
152ce5cc3130
hex19a27a85bc

110100121020 has 48 divisors (see below), whose sum is σ = 342533711520. Its totient is φ = 29360032128.

The previous prime is 110100121003. The next prime is 110100121031. The reversal of 110100121020 is 20121001011.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 110100120993 and 110100121011.

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 15 ways as a sum of consecutive naturals, for example, 101944017 + ... + 101945096.

It is an arithmetic number, because the mean of its divisors is an integer number (7136118990).

Almost surely, 2110100121020 is an apocalyptic number.

110100121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110100121020 is an abundant number, since it is smaller than the sum of its proper divisors (232433590500).

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

110100121020 is a wasteful number, since it uses less digits than its factorization.

110100121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203889131 (or 203889123 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 110100121020 its reverse (20121001011), we get a palindrome (130221122031).

The spelling of 110100121020 in words is "one hundred ten billion, one hundred million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 203889113 407778226 611667339 815556452 1019445565 1223334678 1835002017 2038891130 2446669356 3058336695 3670004034 4077782260 5505006051 6116673390 7340008068 9175010085 11010012102 12233346780 18350020170 22020024204 27525030255 36700040340 55050060510 110100121020