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220102010020233 = 321115084714738461
BaseRepresentation
bin110010000010111001111110…
…000111110010000110001001
31001212022112202111221111212200
4302002321332013302012021
5212322122404031121413
62100041244552230413
764234562664242265
oct6202717607620611
91055275674844780
10220102010020233
1164149813677430
12208292b199b409
1395a76b8627523
143c4cdcbc490a5
151a6a559851573
hexc82e7e1f2189

220102010020233 has 24 divisors (see below), whose sum is σ = 346829732461056. Its totient is φ = 133394264229600.

The previous prime is 220102010020223. The next prime is 220102010020301. The reversal of 220102010020233 is 332020010201022.

220102010020233 is a `hidden beast` number, since 220 + 10 + 201 + 0 + 0 + 2 + 0 + 233 = 666.

It is not a de Polignac number, because 220102010020233 - 28 = 220102010019977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (220102010020223) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7564623 + ... + 22303083.

It is an arithmetic number, because the mean of its divisors is an integer number (14451238852544).

Almost surely, 2220102010020233 is an apocalyptic number.

It is an amenable number.

220102010020233 is a deficient number, since it is larger than the sum of its proper divisors (126727722440823).

220102010020233 is a wasteful number, since it uses less digits than its factorization.

220102010020233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14889325 (or 14889322 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 220102010020233 its reverse (332020010201022), we get a palindrome (552122020221255).

The spelling of 220102010020233 in words is "two hundred twenty trillion, one hundred two billion, ten million, twenty thousand, two hundred thirty-three".

Divisors: 1 3 9 11 33 99 150847 452541 1357623 1659317 4977951 14738461 14933853 44215383 132646149 162123071 486369213 1459107639 2223252626467 6669757879401 20009273638203 24455778891137 73367336673411 220102010020233