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202220101012 = 2253292919373
BaseRepresentation
bin1011110001010101000…
…0011101110110010100
3201022222001210111112211
42330111100131312110
511303121321213022
6232522034323204
720416126332466
oct2742520356624
9638861714484
10202220101012
1178840a7aa26
1233237129504
13160b926ac07
149b04cb2136
1553d8311e77
hex2f1541dd94

202220101012 has 36 divisors (see below), whose sum is σ = 361095130620. Its totient is φ = 99090414592.

The previous prime is 202220100967. The next prime is 202220101019. The reversal of 202220101012 is 210101022202.

It is a happy number.

202220101012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 8280272016 + 193939828996 = 90996^2 + 440386^2 .

It is a junction number, because it is equal to n+sod(n) for n = 202220100983 and 202220101001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202220101019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10428558 + ... + 10447930.

It is an arithmetic number, because the mean of its divisors is an integer number (10030420295).

Almost surely, 2202220101012 is an apocalyptic number.

It is an amenable number.

202220101012 is a deficient number, since it is larger than the sum of its proper divisors (158875029608).

202220101012 is a wasteful number, since it uses less digits than its factorization.

202220101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20412 (or 20357 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 202220101012 its reverse (210101022202), we get a palindrome (412321123214).

The spelling of 202220101012 in words is "two hundred two billion, two hundred twenty million, one hundred one thousand, twelve".

Divisors: 1 2 4 53 106 212 929 1858 2809 3716 5618 11236 19373 38746 49237 77492 98474 196948 1026769 2053538 2609561 4107076 5219122 10438244 17997517 35995034 54418757 71990068 108837514 217675028 953868401 1907736802 3815473604 50555025253 101110050506 202220101012