Search a number
-
+
202120211021022 = 23273794232529443
BaseRepresentation
bin101101111101001111000111…
…011000010011110011011110
3222111122111121000201111110100
4231331033013120103303132
5202443014143010133042
61553512424301521530
760400463151533610
oct5575170730236336
9874574530644410
10202120211021022
1159446777949498
121a8043018732a6
1388a1b14653108
1437ca95586adb0
15185792580724c
hexb7d3c7613cde

202120211021022 has 48 divisors (see below), whose sum is σ = 501808690880640. Its totient is φ = 57596260646736.

The previous prime is 202120211020967. The next prime is 202120211021023. The reversal of 202120211021022 is 220120112021202.

It is a happy number.

202120211021022 is a `hidden beast` number, since 202 + 1 + 20 + 211 + 0 + 210 + 22 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 202120211020986 and 202120211021004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202120211021023) 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 23 ways as a sum of consecutive naturals, for example, 2116216968 + ... + 2116312475.

It is an arithmetic number, because the mean of its divisors is an integer number (10454347726680).

Almost surely, 2202120211021022 is an apocalyptic number.

202120211021022 is an abundant number, since it is smaller than the sum of its proper divisors (299688479859618).

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

202120211021022 is a wasteful number, since it uses less digits than its factorization.

202120211021022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4232529837 (or 4232529834 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 202120211021022 its reverse (220120112021202), we get a palindrome (422240323042224).

The spelling of 202120211021022 in words is "two hundred two trillion, one hundred twenty billion, two hundred eleven million, twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 379 758 1137 2274 2653 3411 5306 6822 7959 15918 23877 47754 4232529443 8465058886 12697588329 25395176658 29627706101 38092764987 59255412202 76185529974 88883118303 177766236606 266649354909 533298709818 1604128658897 3208257317794 4812385976691 9624771953382 11228900612279 14437157930073 22457801224558 28874315860146 33686701836837 67373403673674 101060105510511 202120211021022