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23300212300020 = 22325129445623889
BaseRepresentation
bin1010100110001000000001…
…11000001001100011110100
310001111110220212010202201200
411103010000320021203310
511023222313322100040
6121315545245052500
74623245660515005
oct523040070114364
9101443825122650
1023300212300020
117473623454177
1227438a1b57130
13100027b915246
145a7a4455b1ac
152a615a722630
hex153100e098f4

23300212300020 has 36 divisors (see below), whose sum is σ = 70677310643940. Its totient is φ = 6213389946624.

The previous prime is 23300212300007. The next prime is 23300212300049. The reversal of 23300212300020 is 2000321200332.

It is a happy number.

23300212300020 is a `hidden beast` number, since 2 + 330 + 0 + 2 + 12 + 300 + 0 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17098737743844 + 6201474556176 = 4135062^2 + 2490276^2 .

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 = 23300212299966 and 23300212300002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64722811765 + ... + 64722812124.

Almost surely, 223300212300020 is an apocalyptic number.

23300212300020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23300212300020 is an abundant number, since it is smaller than the sum of its proper divisors (47377098343920).

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

23300212300020 is a wasteful number, since it uses less digits than its factorization.

23300212300020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129445623904 (or 129445623899 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 23300212300020 its reverse (2000321200332), we get a palindrome (25300533500352).

The spelling of 23300212300020 in words is "twenty-three trillion, three hundred billion, two hundred twelve million, three hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 129445623889 258891247778 388336871667 517782495556 647228119445 776673743334 1165010615001 1294456238890 1553347486668 1941684358335 2330021230002 2588912477780 3883368716670 4660042460004 5825053075005 7766737433340 11650106150010 23300212300020