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23300132020 = 22511791917019
BaseRepresentation
bin10101101100110010…
…111100110010110100
32020010211022100022121
4111230302330302310
5340204313211040
614412014405324
71453253566024
oct255462746264
966124270277
1023300132020
119977354060
124623200844
132274305089
1411b06d7a84
15915847c4a
hex56ccbccb4

23300132020 has 96 divisors (see below), whose sum is σ = 54344908800. Its totient is φ = 8320540800.

The previous prime is 23300131973. The next prime is 23300132021. The reversal of 23300132020 is 2023100332.

It is a junction number, because it is equal to n+sod(n) for n = 23300131985 and 23300132003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23300132021) 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 31 ways as a sum of consecutive naturals, for example, 3316071 + ... + 3323089.

It is an arithmetic number, because the mean of its divisors is an integer number (566092800).

Almost surely, 223300132020 is an apocalyptic number.

23300132020 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 23300132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27172454400).

23300132020 is an abundant number, since it is smaller than the sum of its proper divisors (31044776780).

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

23300132020 is a wasteful number, since it uses less digits than its factorization.

23300132020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7309 (or 7307 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 23300132020 its reverse (2023100332), we get a palindrome (25323232352).

The spelling of 23300132020 in words is "twenty-three billion, three hundred million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 79 110 158 191 220 316 382 395 764 790 869 955 1580 1738 1910 2101 3476 3820 4202 4345 7019 8404 8690 10505 14038 15089 17380 21010 28076 30178 35095 42020 60356 70190 75445 77209 140380 150890 154418 165979 301780 308836 331958 386045 554501 663916 772090 829895 1109002 1340629 1544180 1659790 2218004 2681258 2772505 3319580 5362516 5545010 6099511 6703145 11090020 12199022 13406290 14746919 24398044 26812580 29493838 30497555 58987676 60995110 73734595 105909691 121990220 147469190 211819382 294938380 423638764 529548455 1059096910 1165006601 2118193820 2330013202 4660026404 5825033005 11650066010 23300132020