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23303011300020 = 22325129461173889
BaseRepresentation
bin1010100110001101001111…
…01101011111001010110100
310001111202010220221200220100
411103012213231133022310
511023244031343100040
6121321131113234100
74623405225566604
oct523064755371264
9101452126850810
1023303011300020
11747482a409311
122744343402930
13100060678226a
145a7c2c1a0c04
152a6271310b30
hex1531a7b5f2b4

23303011300020 has 36 divisors (see below), whose sum is σ = 70685800943940. Its totient is φ = 6214136346624.

The previous prime is 23303011300003. The next prime is 23303011300043. The reversal of 23303011300020 is 2000311030332.

23303011300020 is a `hidden beast` number, since 2 + 330 + 3 + 0 + 11 + 300 + 0 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11569399509924 + 11733611790096 = 3401382^2 + 3425436^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 23303011299966 and 23303011300002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64730586765 + ... + 64730587124.

It is an arithmetic number, because the mean of its divisors is an integer number (1963494470665).

Almost surely, 223303011300020 is an apocalyptic number.

23303011300020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23303011300020 is an abundant number, since it is smaller than the sum of its proper divisors (47382789643920).

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

23303011300020 is a wasteful number, since it uses less digits than its factorization.

23303011300020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129461173904 (or 129461173899 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 23303011300020 its reverse (2000311030332), we get a palindrome (25303322330352).

The spelling of 23303011300020 in words is "twenty-three trillion, three hundred three billion, eleven million, three hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 129461173889 258922347778 388383521667 517844695556 647305869445 776767043334 1165150565001 1294611738890 1553534086668 1941917608335 2330301130002 2589223477780 3883835216670 4660602260004 5825752825005 7767670433340 11651505650010 23303011300020