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10230014400000 = 293552131253
BaseRepresentation
bin1001010011011101110001…
…0111111101011000000000
31100012222110021220102210020
42110313130113331120000
52320102032141300000
633431334223533440
72104044202443543
oct224673427753000
940188407812706
1010230014400000
11329458548417a
12119278b15a280
135928bc811ca5
142751c752685a
1512b18d3d7ba0
hex94ddc5fd600

10230014400000 has 240 divisors, whose sum is σ = 34064582883408. Its totient is φ = 2728002560000.

The previous prime is 10230014399993. The next prime is 10230014400007. The reversal of 10230014400000 is 441003201.

10230014400000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10230014399993) and next prime (10230014400007).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10230014400007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3734374 + ... + 5865626.

Almost surely, 210230014400000 is an apocalyptic number.

10230014400000 is a gapful number since it is divisible by the number (10) 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 10230014400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17032291441704).

10230014400000 is an abundant number, since it is smaller than the sum of its proper divisors (23834568483408).

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

10230014400000 is an frugal number, since it uses more digits than its factorization.

10230014400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2131299 (or 2131263 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10230014400000 its reverse (441003201), we get a palindrome (10230455403201).

The spelling of 10230014400000 in words is "ten trillion, two hundred thirty billion, fourteen million, four hundred thousand".