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101010000100112 = 24291571386585769
BaseRepresentation
bin10110111101111000111001…
…001011001011101100010000
3111020122110110120200200012222
4112331320321023023230100
5101214421440011200422
6554455204202040212
730163505652301145
oct2675707113135420
9436573416620188
10101010000100112
112a204111805314
12b3b44b87a9068
13444928213568c
141ad2ca54063cc
15ba277de13842
hex5bde392cbb10

101010000100112 has 40 divisors (see below), whose sum is σ = 203744913043800. Its totient is φ = 48452853076992.

The previous prime is 101010000100111. The next prime is 101010000100213. The reversal of 101010000100112 is 211001000010101.

It is a happy number.

101010000100112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 320736464896 + 100689263635216 = 566336^2 + 10034404^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 101010000100112.

It is not an unprimeable number, because it can be changed into a prime (101010000100111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 693220037 + ... + 693365732.

It is an arithmetic number, because the mean of its divisors is an integer number (5093622826095).

Almost surely, 2101010000100112 is an apocalyptic number.

It is an amenable number.

101010000100112 is an abundant number, since it is smaller than the sum of its proper divisors (102734912943688).

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

101010000100112 is a wasteful number, since it uses less digits than its factorization.

101010000100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386585963 (or 1386585957 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101010000100112 its reverse (211001000010101), we get a palindrome (312011000110213).

The spelling of 101010000100112 in words is "one hundred one trillion, ten billion, one hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 58 116 157 232 314 464 628 1256 2512 4553 9106 18212 36424 72848 1386585769 2773171538 5546343076 11092686152 22185372304 40210987301 80421974602 160843949204 217693965733 321687898408 435387931466 643375796816 870775862932 1741551725864 3483103451728 6313125006257 12626250012514 25252500025028 50505000050056 101010000100112