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211102222149 = 327131913566109
BaseRepresentation
bin1100010010011010101…
…1000100011101000101
3202011220002002000011100
43010212223010131011
511424314132102044
6240551245130313
721152211165420
oct3044653043505
9664802060140
10211102222149
1181589779005
1234ab5859999
1316ba34878b0
14a3087a09b7
155757ea6869
hex3126ac4745

211102222149 has 48 divisors (see below), whose sum is σ = 395045123200. Its totient is φ = 105490055808.

The previous prime is 211102222147. The next prime is 211102222151. The reversal of 211102222149 is 941222201112.

211102222149 is a `hidden beast` number, since 211 + 10 + 222 + 214 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (211102222147) and next prime (211102222151).

It is not a de Polignac number, because 211102222149 - 21 = 211102222147 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211102222147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6767494 + ... + 6798615.

Almost surely, 2211102222149 is an apocalyptic number.

It is an amenable number.

211102222149 is a deficient number, since it is larger than the sum of its proper divisors (183942901051).

211102222149 is a wasteful number, since it uses less digits than its factorization.

211102222149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13566154 (or 13566151 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 211102222149 in words is "two hundred eleven billion, one hundred two million, two hundred twenty-two thousand, one hundred forty-nine".

Divisors: 1 3 7 9 13 19 21 39 57 63 91 117 133 171 247 273 399 741 819 1197 1729 2223 5187 15561 13566109 40698327 94962763 122094981 176359417 257756071 284888289 529078251 773268213 854664867 1234515919 1587234753 1804292497 2319804639 3350828923 3703547757 5412877491 10052486769 11110643271 16238632473 23455802461 30157460307 70367407383 211102222149