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220100020220100 = 223524117894310587
BaseRepresentation
bin110010000010111000000111…
…100001010011000011000100
31001212022100121211210012020110
4302002320013201103003010
5212322104320134020400
62100040315312033020
764234462453231566
oct6202700741230304
91055270554705213
10220100020220100
1164148992467109
1220828a37532770
1395a745c3119b7
143c4cc7d887336
151a6a48ed05e50
hexc82e078530c4

220100020220100 has 72 divisors (see below), whose sum is σ = 652354986796128. Its totient is φ = 57261793875200.

The previous prime is 220100020220081. The next prime is 220100020220117. The reversal of 220100020220100 is 1022020001022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8947142994 + ... + 8947167593.

It is an arithmetic number, because the mean of its divisors is an integer number (9060485927724).

Almost surely, 2220100020220100 is an apocalyptic number.

220100020220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220100020220100 is an abundant number, since it is smaller than the sum of its proper divisors (432254966576028).

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

220100020220100 is a wasteful number, since it uses less digits than its factorization.

220100020220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17894310645 (or 17894310638 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 220100020220100 its reverse (1022020001022), we get a palindrome (221122040221122).

The spelling of 220100020220100 in words is "two hundred twenty trillion, one hundred billion, twenty million, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 300 410 492 615 820 1025 1230 2050 2460 3075 4100 6150 12300 17894310587 35788621174 53682931761 71577242348 89471552935 107365863522 178943105870 214731727044 268414658805 357886211740 447357764675 536829317610 733666734067 894715529350 1073658635220 1342073294025 1467333468134 1789431058700 2201000202201 2684146588050 2934666936268 3668333670335 4402000404402 5368293176100 7336667340670 8804000808804 11005001011005 14673334681340 18341668351675 22010002022010 36683336703350 44020004044020 55025005055025 73366673406700 110050010110050 220100020220100