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102381450240 = 2103510961151
BaseRepresentation
bin101111101011001101…
…0001111010000000000
3100210021010202112211110
41133112122033100000
53134134122401430
6115011113443320
710253051653056
oct1372632172000
9323233675743
10102381450240
113a4687289a3
1217a13410540
1398680020b4
144d534521d6
1529e33497b0
hex17d668f400

102381450240 has 176 divisors, whose sum is σ = 330470300160. Its totient is φ = 27050803200.

The previous prime is 102381450217. The next prime is 102381450257. The reversal of 102381450240 is 42054183201.

It is a super-2 number, since 2×1023814502402 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 102381450198 and 102381450207.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1643665 + ... + 1704815.

It is an arithmetic number, because the mean of its divisors is an integer number (1877672160).

Almost surely, 2102381450240 is an apocalyptic number.

102381450240 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 102381450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165235150080).

102381450240 is an abundant number, since it is smaller than the sum of its proper divisors (228088849920).

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

102381450240 is a wasteful number, since it uses less digits than its factorization.

102381450240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61288 (or 61270 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 102381450240 in words is "one hundred two billion, three hundred eighty-one million, four hundred fifty thousand, two hundred forty".