Search a number
-
+
233031103312020 = 2235131273796206923
BaseRepresentation
bin110100111111000011001000…
…001000100111000010010100
31010120002120000020222001102220
4310333003020020213002110
5221020440144421441040
62143341002212102340
7100040640656036106
oct6477031010470224
91116076006861386
10233031103312020
1168283a32790822
1222176ba50049b0
13a00497b063460
144178aa0a73576
151be1a18ec32d0
hexd3f0c8227094

233031103312020 has 192 divisors, whose sum is σ = 710080050462720. Its totient is φ = 56759669955072.

The previous prime is 233031103311911. The next prime is 233031103312039. The reversal of 233031103312020 is 20213301130332.

It is a super-2 number, since 2×2330311033120202 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34440279 + ... + 40647201.

It is an arithmetic number, because the mean of its divisors is an integer number (3698333596160).

Almost surely, 2233031103312020 is an apocalyptic number.

233031103312020 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 233031103312020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355040025231360).

233031103312020 is an abundant number, since it is smaller than the sum of its proper divisors (477048947150700).

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

233031103312020 is a wasteful number, since it uses less digits than its factorization.

233031103312020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6207454 (or 6207452 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 233031103312020 its reverse (20213301130332), we get a palindrome (253244404442352).

The spelling of 233031103312020 in words is "two hundred thirty-three trillion, thirty-one billion, one hundred three million, three hundred twelve thousand, twenty".