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211102221002013 = 321143227321816733
BaseRepresentation
bin101111111111111100010000…
…111001001110010100011101
31000200110011201202010200010100
4233333330100321032110131
5210132144322034031023
62024551004351531313
762315426554630155
oct5777742071162435
91020404652120110
10211102221002013
1161299a49372010
121b815036829b39
1390a3b14398533
143a1b58b1a3765
1519613be94cc43
hexbfff10e4e51d

211102221002013 has 48 divisors (see below), whose sum is σ = 340531641388224. Its totient is φ = 124910390062080.

The previous prime is 211102221001993. The next prime is 211102221002053. The reversal of 211102221002013 is 310200122201112.

It is not a de Polignac number, because 211102221002013 - 210 = 211102221000989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211102221002053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1232206 + ... + 20584527.

It is an arithmetic number, because the mean of its divisors is an integer number (7094409195588).

Almost surely, 2211102221002013 is an apocalyptic number.

It is an amenable number.

211102221002013 is a deficient number, since it is larger than the sum of its proper divisors (129429420386211).

211102221002013 is a wasteful number, since it uses less digits than its factorization.

211102221002013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21819066 (or 21819063 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 211102221002013 its reverse (310200122201112), we get a palindrome (521302343203125).

The spelling of 211102221002013 in words is "two hundred eleven trillion, one hundred two billion, two hundred twenty-one million, two thousand, thirteen".

Divisors: 1 3 9 11 33 43 99 129 387 473 1419 2273 4257 6819 20457 25003 75009 97739 225027 293217 879651 1075129 3225387 9676161 21816733 65450199 196350597 239984063 719952189 938119519 2159856567 2814358557 8443075671 10319314709 30957944127 49589434109 92873832381 148768302327 446304906981 545483775199 1636451325597 2132345666687 4909353976791 6397037000061 19191111000183 23455802333557 70367407000671 211102221002013