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211112021211102 = 232114912171532239
BaseRepresentation
bin110000000000000101011001…
…000010000011011111011110
31000200111010000201221212122100
4300000011121002003133132
5210132324404412223402
62024555305040225530
762316224455215264
oct6000053102033736
91020433021855570
10211112021211102
11612a3118327170
121b816b1090b2a6
1390a4a1687291b
143a1bc3a99a434
151961794ee371c
hexc001590837de

211112021211102 has 48 divisors (see below), whose sum is σ = 500008327453440. Its totient is φ = 63843047797200.

The previous prime is 211112021211073. The next prime is 211112021211193. The reversal of 211112021211102 is 201112120211112.

It is a happy number.

211112021211102 is a `hidden beast` number, since 211 + 1 + 120 + 21 + 211 + 102 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1085668902 + ... + 1085863337.

It is an arithmetic number, because the mean of its divisors is an integer number (10416840155280).

Almost surely, 2211112021211102 is an apocalyptic number.

211112021211102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

211112021211102 is an abundant number, since it is smaller than the sum of its proper divisors (288896306242338).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211112021211102 is a wasteful number, since it uses less digits than its factorization.

211112021211102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2171532749 (or 2171532746 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 211112021211102 its reverse (201112120211112), we get a palindrome (412224141422214).

The spelling of 211112021211102 in words is "two hundred eleven trillion, one hundred twelve billion, twenty-one million, two hundred eleven thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 491 982 1473 2946 4419 5401 8838 10802 16203 32406 48609 97218 2171532239 4343064478 6514596717 13029193434 19543790151 23886854629 39087580302 47773709258 71660563887 143321127774 214981691661 429963383322 1066222329349 2132444658698 3198666988047 6397333976094 9596000964141 11728445622839 19192001928282 23456891245678 35185336868517 70370673737034 105556010605551 211112021211102