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102534024348 = 223272971732707
BaseRepresentation
bin101111101111110000…
…0010000110010011100
3100210122202212010011100
41133133200100302130
53134442202234343
6115034203553100
710256613553410
oct1373740206234
9323582763140
10102534024348
113a5368690a8
1217a5652b790
1398907c2832
144d6980ad40
152a019369d3
hex17df810c9c

102534024348 has 288 divisors, whose sum is σ = 315112412160. Its totient is φ = 27494691840.

The previous prime is 102534024347. The next prime is 102534024367. The reversal of 102534024348 is 843420435201.

102534024348 is a `hidden beast` number, since 1 + 0 + 253 + 40 + 24 + 348 = 666.

It is a super-2 number, since 2×1025340243482 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102534024347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37876011 + ... + 37878717.

It is an arithmetic number, because the mean of its divisors is an integer number (1094140320).

Almost surely, 2102534024348 is an apocalyptic number.

102534024348 is a gapful number since it is divisible by the number (18) 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 102534024348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157556206080).

102534024348 is an abundant number, since it is smaller than the sum of its proper divisors (212578387812).

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

102534024348 is a wasteful number, since it uses less digits than its factorization.

102534024348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2897 (or 2892 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 102534024348 its reverse (843420435201), we get a palindrome (945954459549).

The spelling of 102534024348 in words is "one hundred two billion, five hundred thirty-four million, twenty-four thousand, three hundred forty-eight".