Search a number
-
+
101011210112 = 272334310873
BaseRepresentation
bin101111000010010111…
…1001011111110000000
3100122201122102010202002
41132010233023332000
53123332332210422
6114223124443132
710204103055641
oct1360457137600
9318648363662
10101011210112
113992521623a
12176b05494a8
1396aa173217
144c634896c8
152962dd2692
hex1784bcbf80

101011210112 has 32 divisors (see below), whose sum is σ = 209982548880. Its totient is φ = 48309707776.

The previous prime is 101011210051. The next prime is 101011210121. The reversal of 101011210112 is 211012110101.

101011210112 is nontrivially palindromic in base 15.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×1010112101122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101011210093 and 101011210102.

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 3 ways as a sum of consecutive naturals, for example, 17152493 + ... + 17158380.

Almost surely, 2101011210112 is an apocalyptic number.

It is an amenable number.

101011210112 is an abundant number, since it is smaller than the sum of its proper divisors (108971338768).

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

101011210112 is an equidigital number, since it uses as much as digits as its factorization.

101011210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34310910 (or 34310898 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101011210112 its reverse (211012110101), we get a palindrome (312023320213).

The spelling of 101011210112 in words is "one hundred one billion, eleven million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 368 736 1472 2944 34310873 68621746 137243492 274486984 548973968 789150079 1097947936 1578300158 2195895872 3156600316 4391791744 6313200632 12626401264 25252802528 50505605056 101011210112