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202111021121020 = 22511431011071976941
BaseRepresentation
bin101101111101000110100011…
…100111100111110111111100
3222111121121212120022012121121
4231331012203213213313330
5202442341332401333040
61553504304334240324
760400016341632334
oct5575064347476774
9874547776265547
10202111021121020
1159442891443610
121a8025780560a4
1388a0cab743a6b
1437ca3231420c4
151857588b18c4a
hexb7d1a39e7dfc

202111021121020 has 192 divisors, whose sum is σ = 482948774364672. Its totient is φ = 70410695040000.

The previous prime is 202111021121003. The next prime is 202111021121027. The reversal of 202111021121020 is 20121120111202.

It is a junction number, because it is equal to n+sod(n) for n = 202111021120985 and 202111021121003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202111021121027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101245750 + ... + 103222690.

It is an arithmetic number, because the mean of its divisors is an integer number (2515358199816).

Almost surely, 2202111021121020 is an apocalyptic number.

202111021121020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202111021121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241474387182336).

202111021121020 is an abundant number, since it is smaller than the sum of its proper divisors (280837753243652).

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

202111021121020 is a wasteful number, since it uses less digits than its factorization.

202111021121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1977212 (or 1977210 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 202111021121020 its reverse (20121120111202), we get a palindrome (222232141232222).

The spelling of 202111021121020 in words is "two hundred two trillion, one hundred eleven billion, twenty-one million, one hundred twenty-one thousand, twenty".