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23445021200000 = 2755557105229
BaseRepresentation
bin1010101010010101110000…
…01010010000111010000000
310002000022200211122002002112
411111022320022100322000
511033110400411400000
6121510254414234452
74636563324042611
oct525127012207200
9102008624562075
1023445021200000
117519a83291014
1227679761b5a28
131010b1887678a
145b0a60703c08
152a9cd36ed235
hex1552b8290e80

23445021200000 has 192 divisors, whose sum is σ = 58485228190200. Its totient is φ = 9361082880000.

The previous prime is 23445021199973. The next prime is 23445021200059. The reversal of 23445021200000 is 212054432.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 9492166636096 + 13952854563904 = 3080936^2 + 3735352^2 .

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 23 ways as a sum of consecutive naturals, for example, 222747386 + ... + 222852614.

Almost surely, 223445021200000 is an apocalyptic number.

23445021200000 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 23445021200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29242614095100).

23445021200000 is an abundant number, since it is smaller than the sum of its proper divisors (35040206990200).

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

23445021200000 is an frugal number, since it uses more digits than its factorization.

23445021200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105825 (or 105793 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 23445021200000 its reverse (212054432), we get a palindrome (23445233254432).

The spelling of 23445021200000 in words is "twenty-three trillion, four hundred forty-five billion, twenty-one million, two hundred thousand".