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100110200211 = 3371274170737
BaseRepresentation
bin101110100111100001…
…0000110110110010011
3100120101212000002112000
41131033002012312103
53120011202401321
6113553501005043
710142552442630
oct1351702066623
9316355002460
10100110200211
113950266415a
121749a853783
1395955b4c78
144bb9949187
15290dc56826
hex174f086d93

100110200211 has 32 divisors (see below), whose sum is σ = 170833428480. Its totient is φ = 56755375488.

The previous prime is 100110200191. The next prime is 100110200227. The reversal of 100110200211 is 112002011001.

It is a happy number.

It is not a de Polignac number, because 100110200211 - 29 = 100110199699 is a prime.

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 = 100110200193 and 100110200202.

It is not an unprimeable number, because it can be changed into a prime (100110200251) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2061366 + ... + 2109371.

It is an arithmetic number, because the mean of its divisors is an integer number (5338544640).

Almost surely, 2100110200211 is an apocalyptic number.

100110200211 is a deficient number, since it is larger than the sum of its proper divisors (70723228269).

100110200211 is a wasteful number, since it uses less digits than its factorization.

100110200211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4170880 (or 4170874 counting only the distinct ones).

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

Adding to 100110200211 its reverse (112002011001), we get a palindrome (212112211212).

The spelling of 100110200211 in words is "one hundred billion, one hundred ten million, two hundred thousand, two hundred eleven".

Divisors: 1 3 7 9 21 27 63 127 189 381 889 1143 2667 3429 8001 24003 4170737 12512211 29195159 37536633 87585477 112609899 262756431 529683599 788269293 1589050797 3707785193 4767152391 11123355579 14301457173 33370066737 100110200211