Search a number
-
+
233102110023420 = 2235113719069500579
BaseRepresentation
bin110101000000000101010000…
…011101101101111011111100
31010120100100021211121201201220
4311000011100131231323330
5221023121110131222140
62143433344144233340
7100046033406111321
oct6500052035557374
91116310254551656
10233102110023420
116830106016aa90
122218890100b850
13a00b585c27a11
14417c2b9262b48
151be37c2b8dbd0
hexd4015076defc

233102110023420 has 192 divisors, whose sum is σ = 731304610444800. Its totient is φ = 54979322711040.

The previous prime is 233102110023413. The next prime is 233102110023427. The reversal of 233102110023420 is 24320011201332.

233102110023420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (233102110023413) and next prime (233102110023427).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233102110023427) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 465414691 + ... + 465915269.

It is an arithmetic number, because the mean of its divisors is an integer number (3808878179400).

Almost surely, 2233102110023420 is an apocalyptic number.

233102110023420 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 233102110023420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365652305222400).

233102110023420 is an abundant number, since it is smaller than the sum of its proper divisors (498202500421380).

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

233102110023420 is a wasteful number, since it uses less digits than its factorization.

233102110023420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519708 (or 519706 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 233102110023420 its reverse (24320011201332), we get a palindrome (257422121224752).

The spelling of 233102110023420 in words is "two hundred thirty-three trillion, one hundred two billion, one hundred ten million, twenty-three thousand, four hundred twenty".