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211020100000093 = 172931101136707971
BaseRepresentation
bin101111111110101111110010…
…000110011101100101011101
31000200011022202120222112110201
4233332233302012131211131
5210124323131100000333
62024445143505503501
762306461536630406
oct5776576206354535
91020138676875421
10211020100000093
116126813819288a
121b801138641b91
139099157a013c7
143a175da8729ad
15195e1b516917d
hexbfebf219d95d

211020100000093 has 32 divisors (see below), whose sum is σ = 240956003128320. Its totient is φ = 183735511680000.

The previous prime is 211020100000081. The next prime is 211020100000109. The reversal of 211020100000093 is 390000001020112.

It is a cyclic number.

It is not a de Polignac number, because 211020100000093 - 29 = 211020099999581 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 211020100000093.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211020100000693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66810403 + ... + 69897568.

It is an arithmetic number, because the mean of its divisors is an integer number (7529875097760).

Almost surely, 2211020100000093 is an apocalyptic number.

It is an amenable number.

211020100000093 is a deficient number, since it is larger than the sum of its proper divisors (29935903128227).

211020100000093 is a wasteful number, since it uses less digits than its factorization.

211020100000093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136708149.

The product of its (nonzero) digits is 108, while the sum is 19.

The spelling of 211020100000093 in words is "two hundred eleven trillion, twenty billion, one hundred million, ninety-three", and thus it is an aban number.

Divisors: 1 17 29 31 101 493 527 899 1717 2929 3131 15283 49793 53227 90799 1543583 136707971 2324035507 3964531159 4237947101 13807505071 67397029703 72045100717 122900465929 234727586207 400417647059 428032657201 2089307920793 6807100000003 7276555172417 12412947058829 211020100000093