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201331011020 = 22588311400397
BaseRepresentation
bin1011101110000001000…
…0110110110111001100
3201020200002211001100212
42323200100312313030
511244311214323040
6232253514141552
720355112233416
oct2734020666714
9636602731325
10201331011020
117842511a507
12330294218b8
1315ca6cc4369
149a5cb959b6
15538523cd65
hex2ee0436dcc

201331011020 has 24 divisors (see below), whose sum is σ = 423273976944. Its totient is φ = 80441194176.

The previous prime is 201331010891. The next prime is 201331011023. The reversal of 201331011020 is 20110133102.

201331011020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2013310110202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201331010986 and 201331011004.

It is not an unprimeable number, because it can be changed into a prime (201331011023) 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 7 ways as a sum of consecutive naturals, for example, 5682539 + ... + 5717858.

It is an arithmetic number, because the mean of its divisors is an integer number (17636415706).

Almost surely, 2201331011020 is an apocalyptic number.

201331011020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201331011020 is an abundant number, since it is smaller than the sum of its proper divisors (221942965924).

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

201331011020 is a wasteful number, since it uses less digits than its factorization.

201331011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11401289 (or 11401287 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 201331011020 its reverse (20110133102), we get a palindrome (221441144122).

The spelling of 201331011020 in words is "two hundred one billion, three hundred thirty-one million, eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 883 1766 3532 4415 8830 17660 11400397 22800794 45601588 57001985 114003970 228007940 10066550551 20133101102 40266202204 50332752755 100665505510 201331011020