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10101712320 = 263257501077
BaseRepresentation
bin10010110100001101…
…11110010111000000
3222002000011011012100
421122012332113000
5131142014243240
64350214430400
7505221065220
oct113206762700
928060134170
1010101712320
114314175a87
121b5b062400
13c4cab048b
146bb87c080
153e1c9ee30
hex25a1be5c0

10101712320 has 168 divisors, whose sum is σ = 39709429344. Its totient is φ = 2308958208.

The previous prime is 10101712289. The next prime is 10101712321. The reversal of 10101712320 is 2321710101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

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 = 10101712293 and 10101712302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101712321) 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, 230379 + ... + 270698.

Almost surely, 210101712320 is an apocalyptic number.

10101712320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101712320 is an abundant number, since it is smaller than the sum of its proper divisors (29607717024).

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

10101712320 is a wasteful number, since it uses less digits than its factorization.

10101712320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501107 (or 501094 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The spelling of 10101712320 in words is "ten billion, one hundred one million, seven hundred twelve thousand, three hundred twenty".