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233102233020 = 2235171953226943
BaseRepresentation
bin1101100100010111111…
…0011100110110111100
3211021200021222100112210
43121011332130312330
512304343132424040
6255030301500420
722561330200666
oct3310576346674
9737607870483
10233102233020
118a949151878
1239215571710
1318c9b3117c7
14b3d4545536
1560e45d8480
hex3645f9cdbc

233102233020 has 192 divisors, whose sum is σ = 741180948480. Its totient is φ = 54378934272.

The previous prime is 233102232971. The next prime is 233102233027. The reversal of 233102233020 is 20332201332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233102233027) 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 63 ways as a sum of consecutive naturals, for example, 913669 + ... + 1140611.

It is an arithmetic number, because the mean of its divisors is an integer number (3860317440).

Almost surely, 2233102233020 is an apocalyptic number.

233102233020 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 233102233020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370590474240).

233102233020 is an abundant number, since it is smaller than the sum of its proper divisors (508078715460).

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

233102233020 is a wasteful number, since it uses less digits than its factorization.

233102233020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227044 (or 227042 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 233102233020 its reverse (20332201332), we get a palindrome (253434434352).

The spelling of 233102233020 in words is "two hundred thirty-three billion, one hundred two million, two hundred thirty-three thousand, twenty".