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23023200310020 = 22325127906668389
BaseRepresentation
bin1010011110000100000011…
…01011010001001100000100
310000111222220102012122101100
411033002001223101030010
511004203003234410040
6120544413500500100
74564241236453551
oct517020153211404
9100458812178340
1023023200310020
1173770a23a8049
1226ba07324a630
13cb0103538221
145984864a5a28
1529dd462a5b30
hex14f081ad1304

23023200310020 has 36 divisors (see below), whose sum is σ = 69837040940940. Its totient is φ = 6139520082624.

The previous prime is 23023200310007. The next prime is 23023200310021. The reversal of 23023200310020 is 2001300232032.

It is a happy number.

23023200310020 is a `hidden beast` number, since 2 + 30 + 2 + 320 + 0 + 310 + 0 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11242434644676 + 11780765665344 = 3352974^2 + 3432312^2 .

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

It is a super-2 number, since 2×230232003100202 (a number of 28 digits) contains 22 as substring.

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 = 23023200309975 and 23023200310002.

It is not an unprimeable number, because it can be changed into a prime (23023200310021) by changing a digit.

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, 63953334015 + ... + 63953334374.

It is an arithmetic number, because the mean of its divisors is an integer number (1939917803915).

Almost surely, 223023200310020 is an apocalyptic number.

23023200310020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23023200310020 is an abundant number, since it is smaller than the sum of its proper divisors (46813840630920).

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

23023200310020 is a wasteful number, since it uses less digits than its factorization.

23023200310020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127906668404 (or 127906668399 counting only the distinct ones).

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

Adding to 23023200310020 its reverse (2001300232032), we get a palindrome (25024500542052).

The spelling of 23023200310020 in words is "twenty-three trillion, twenty-three billion, two hundred million, three hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 127906668389 255813336778 383720005167 511626673556 639533341945 767440010334 1151160015501 1279066683890 1534880020668 1918600025835 2302320031002 2558133367780 3837200051670 4604640062004 5755800077505 7674400103340 11511600155010 23023200310020