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202122001020 = 223531477107021
BaseRepresentation
bin1011110000111101101…
…0001111101001111100
3201022201020012111122210
42330033122033221330
511302421213013040
6232504211540420
720413525442622
oct2741732175174
9638636174583
10202122001020
11787a0666a55
123320a2ba710
13160a1b41194
149ad5c57512
1553ce8d5480
hex2f0f68fa7c

202122001020 has 48 divisors (see below), whose sum is σ = 565964870688. Its totient is φ = 53896984320.

The previous prime is 202122000917. The next prime is 202122001021. The reversal of 202122001020 is 20100221202.

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

It is a junction number, because it is equal to n+sod(n) for n = 202122000987 and 202122001005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202122001021) 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 15 ways as a sum of consecutive naturals, for example, 1835110 + ... + 1942130.

It is an arithmetic number, because the mean of its divisors is an integer number (11790934806).

Almost surely, 2202122001020 is an apocalyptic number.

202122001020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202122001020 is an abundant number, since it is smaller than the sum of its proper divisors (363842869668).

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

202122001020 is a wasteful number, since it uses less digits than its factorization.

202122001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138510 (or 138508 counting only the distinct ones).

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

Adding to 202122001020 its reverse (20100221202), we get a palindrome (222222222222).

The spelling of 202122001020 in words is "two hundred two billion, one hundred twenty-two million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 31477 62954 94431 107021 125908 157385 188862 214042 314770 321063 377724 428084 472155 535105 629540 642126 944310 1070210 1284252 1605315 1888620 2140420 3210630 6421260 3368700017 6737400034 10106100051 13474800068 16843500085 20212200102 33687000170 40424400204 50530500255 67374000340 101061000510 202122001020