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10163443014120 = 23351181120114721
BaseRepresentation
bin1001001111100101110001…
…1010010001100111101000
31022222121121211002122021210
42103321130122101213220
52313004212402422440
633341004332033120
72066166410135454
oct223713432214750
938877554078253
1010163443014120
1132693236916a0
1211818b06027a0
135895407cb6b6
14271cb0009664
15129593cd2a80
hex93e5c6919e8

10163443014120 has 256 divisors, whose sum is σ = 33326809205760. Its totient is φ = 2459082240000.

The previous prime is 10163443014113. The next prime is 10163443014121. The reversal of 10163443014120 is 2141034436101.

10163443014120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (10163443014121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2152813360 + ... + 2152818080.

It is an arithmetic number, because the mean of its divisors is an integer number (130182848460).

Almost surely, 210163443014120 is an apocalyptic number.

10163443014120 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 10163443014120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16663404602880).

10163443014120 is an abundant number, since it is smaller than the sum of its proper divisors (23163366191640).

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

10163443014120 is a wasteful number, since it uses less digits than its factorization.

10163443014120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7568 (or 7564 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 10163443014120 in words is "ten trillion, one hundred sixty-three billion, four hundred forty-three million, fourteen thousand, one hundred twenty".