Search a number
-
+
221013101202102 = 232111116227783849
BaseRepresentation
bin110010010000001010011111…
…011000110100101010110110
31001222112122110000202000100200
4302100022133120310222312
5212432034312401431402
62102020003402221330
764360445452433106
oct6220123730645266
91058478400660320
10221013101202102
1164470147913330
12209559a04b4846
1396425a4b84b31
143c8113c279206
151a840d092e21c
hexc9029f634ab6

221013101202102 has 24 divisors (see below), whose sum is σ = 522394602841800. Its totient is φ = 66973667030880.

The previous prime is 221013101202067. The next prime is 221013101202121. The reversal of 221013101202102 is 201202101310122.

221013101202102 is a `hidden beast` number, since 2 + 21 + 0 + 1 + 310 + 120 + 210 + 2 = 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 (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 558113891727 + ... + 558113892122.

It is an arithmetic number, because the mean of its divisors is an integer number (21766441785075).

Almost surely, 2221013101202102 is an apocalyptic number.

221013101202102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221013101202102 is an abundant number, since it is smaller than the sum of its proper divisors (301381501639698).

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

221013101202102 is a wasteful number, since it uses less digits than its factorization.

221013101202102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116227783868 (or 1116227783865 counting only the distinct ones).

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

Adding to 221013101202102 its reverse (201202101310122), we get a palindrome (422215202512224).

The spelling of 221013101202102 in words is "two hundred twenty-one trillion, thirteen billion, one hundred one million, two hundred two thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 1116227783849 2232455567698 3348683351547 6697366703094 10046050054641 12278505622339 20092100109282 24557011244678 36835516867017 73671033734034 110506550601051 221013101202102