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202022202201012 = 223211349661308309
BaseRepresentation
bin101101111011110011110101…
…100110010101001110110100
3222111022010121121211120122200
4231323303311212111032310
5202434412432230413022
61553355415104424500
760360423333363564
oct5573636546251664
9874263547746580
10202022202201012
1159409153486396
121a7a930a918130
1388957c55202ab
1437c5cd904ada4
1518550db2dbbac
hexb7bcf59953b4

202022202201012 has 36 divisors (see below), whose sum is σ = 515186412407940. Its totient is φ = 66744798365952.

The previous prime is 202022202200999. The next prime is 202022202201013. The reversal of 202022202201012 is 210102202220202.

202022202201012 is a `hidden beast` number, since 2 + 0 + 202 + 220 + 220 + 10 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 71404595615376 + 130617606585636 = 8450124^2 + 11428806^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202022202201013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24830650087 + ... + 24830658222.

Almost surely, 2202022202201012 is an apocalyptic number.

It is an amenable number.

202022202201012 is an abundant number, since it is smaller than the sum of its proper divisors (313164210206928).

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

202022202201012 is a wasteful number, since it uses less digits than its factorization.

202022202201012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49661308432 (or 49661308427 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 202022202201012 its reverse (210102202220202), we get a palindrome (412124404421214).

The spelling of 202022202201012 in words is "two hundred two trillion, twenty-two billion, two hundred two million, two hundred one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 113 226 339 452 678 1017 1356 2034 4068 49661308309 99322616618 148983924927 198645233236 297967849854 446951774781 595935699708 893903549562 1787807099124 5611727838917 11223455677834 16835183516751 22446911355668 33670367033502 50505550550253 67340734067004 101011101100506 202022202201012