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100103312211 = 3722683253811
BaseRepresentation
bin101110100111010011…
…1110101001101010011
3100120101101001010221220
41131032213311031103
53120002421442321
6113553053220123
710142440054200
oct1351647651523
9316341033856
10100103312211
11394a978a0a1
1217498491643
139594042a26
144bb8a74ca7
15290d3459c6
hex174e9f5353

100103312211 has 24 divisors (see below), whose sum is σ = 155320761024. Its totient is φ = 57180347280.

The previous prime is 100103312209. The next prime is 100103312233. The reversal of 100103312211 is 112213301001.

It is a happy number.

It is not a de Polignac number, because 100103312211 - 21 = 100103312209 is a prime.

It is a super-2 number, since 2×1001033122112 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100103312311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 267496 + ... + 521306.

It is an arithmetic number, because the mean of its divisors is an integer number (6471698376).

Almost surely, 2100103312211 is an apocalyptic number.

100103312211 is a deficient number, since it is larger than the sum of its proper divisors (55217448813).

100103312211 is a wasteful number, since it uses less digits than its factorization.

100103312211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256511 (or 256504 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 100103312211 its reverse (112213301001), we get a palindrome (212316613212).

The spelling of 100103312211 in words is "one hundred billion, one hundred three million, three hundred twelve thousand, two hundred eleven".

Divisors: 1 3 7 21 49 147 2683 8049 18781 56343 131467 253811 394401 761433 1776677 5330031 12436739 37310217 680974913 2042924739 4766824391 14300473173 33367770737 100103312211