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221102020121020 = 22529675689707157
BaseRepresentation
bin110010010001011101010011…
…010111100101000110111100
31001222212010221221101010000221
4302101131103113211012330
5212440013414122333040
62102124511003231124
764400044113660553
oct6221352327450674
91058763857333027
10221102020121020
11644a4927271185
122096b0772184a4
13964aaa5a1b75c
143c85575760d9a
151a86586e1074a
hexc917535e51bc

221102020121020 has 48 divisors (see below), whose sum is σ = 487494109297440. Its totient is φ = 84116630594304.

The previous prime is 221102020120907. The next prime is 221102020121027. The reversal of 221102020121020 is 20121020201122.

It is a happy number.

It is a super-2 number, since 2×2211020201210202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221102020120985 and 221102020121003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221102020121027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2844814719 + ... + 2844892438.

It is an arithmetic number, because the mean of its divisors is an integer number (10156127277030).

Almost surely, 2221102020121020 is an apocalyptic number.

221102020121020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221102020121020 is an abundant number, since it is smaller than the sum of its proper divisors (266392089176420).

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

221102020121020 is a wasteful number, since it uses less digits than its factorization.

221102020121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5689707262 (or 5689707260 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 221102020121020 its reverse (20121020201122), we get a palindrome (241223040322142).

The spelling of 221102020121020 in words is "two hundred twenty-one trillion, one hundred two billion, twenty million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 67 116 134 145 268 290 335 580 670 1340 1943 3886 7772 9715 19430 38860 5689707157 11379414314 22758828628 28448535785 56897071570 113794143140 165001507553 330003015106 381210379519 660006030212 762420759038 825007537765 1524841518076 1650015075530 1906051897595 3300030151060 3812103795190 7624207590380 11055101006051 22110202012102 44220404024204 55275505030255 110551010060510 221102020121020