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100100010001012 = 22785919932088217
BaseRepresentation
bin10110110000101001011001…
…100010011100001001110100
3111010102110121210202222100021
4112300221121202130021310
5101110014310030013022
6552521150524054524
730040662364133230
oct2660513142341164
9433373553688307
10100100010001012
11299931a305317a
12b288076994444
1343b150ca47838
141aa0c1b3175c0
15b88c6e8327c7
hex5b0a5989c274

100100010001012 has 48 divisors (see below), whose sum is σ = 200533746286720. Its totient is φ = 42828541696512.

The previous prime is 100100010001007. The next prime is 100100010001027. The reversal of 100100010001012 is 210100010001001.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 100100010000986 and 100100010001004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46891528 + ... + 48979744.

Almost surely, 2100100010001012 is an apocalyptic number.

It is an amenable number.

100100010001012 is an abundant number, since it is smaller than the sum of its proper divisors (100433736285708).

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

100100010001012 is a wasteful number, since it uses less digits than its factorization.

100100010001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2091080 (or 2091078 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 100100010001012 its reverse (210100010001001), we get a palindrome (310200020002013).

The spelling of 100100010001012 in words is "one hundred trillion, one hundred billion, ten million, one thousand, twelve".

Divisors: 1 2 4 7 14 28 859 1718 1993 3436 3986 6013 7972 12026 13951 24052 27902 55804 1711987 2088217 3423974 4176434 6847948 8352868 11983909 14617519 23967818 29235038 47935636 58470076 1793778403 3587556806 4161816481 7175113612 8323632962 12556448821 16647265924 25112897642 29132715367 50225795284 58265430734 116530861468 3575000357179 7150000714358 14300001428716 25025002500253 50050005000506 100100010001012