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102149994240 = 283457220107
BaseRepresentation
bin101111100100010011…
…1010011011100000000
3100202200000020100220000
41133020213103130000
53133200344303430
6114532124520000
710244241424200
oct1371047233400
9322600210800
10102149994240
113a35a010648
12179699b0000
13982c083198
144d30802400
1529ccd79e60
hex17c89d3700

102149994240 has 540 divisors, whose sum is σ = 425207829816. Its totient is φ = 23347408896.

The previous prime is 102149994239. The next prime is 102149994241. The reversal of 102149994240 is 42499941201.

It is a happy number.

102149994240 is a `hidden beast` number, since 1 + 0 + 214 + 9 + 9 + 9 + 424 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (102149994239) and next prime (102149994241).

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102149994241) 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 59 ways as a sum of consecutive naturals, for example, 5070267 + ... + 5090373.

Almost surely, 2102149994240 is an apocalyptic number.

102149994240 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 102149994240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212603914908).

102149994240 is an abundant number, since it is smaller than the sum of its proper divisors (323057835576).

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

102149994240 is an equidigital number, since it uses as much as digits as its factorization.

102149994240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20154 (or 20124 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 102149994240 in words is "one hundred two billion, one hundred forty-nine million, nine hundred ninety-four thousand, two hundred forty".