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103252235616 = 2532358514707
BaseRepresentation
bin110000000101001010…
…0000001010101100000
3100212111211022000210200
41200022110001111200
53142430033014431
6115233341425200
710313454343665
oct1401224012540
9325454260720
10103252235616
113a875216932
1218016b6b200
13997653a10a
144dd6d65a6c
152a44a04ee6
hex180a501560

103252235616 has 36 divisors (see below), whose sum is σ = 293623545852. Its totient is φ = 34417411776.

The previous prime is 103252235573. The next prime is 103252235689. The reversal of 103252235616 is 616532252301.

103252235616 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 5 + 2 + 2 + 35 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1032522356162 (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 179257066 + ... + 179257641.

It is an arithmetic number, because the mean of its divisors is an integer number (8156209607).

Almost surely, 2103252235616 is an apocalyptic number.

103252235616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

103252235616 is an abundant number, since it is smaller than the sum of its proper divisors (190371310236).

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

103252235616 is a wasteful number, since it uses less digits than its factorization.

103252235616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358514723 (or 358514712 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 103252235616 its reverse (616532252301), we get a palindrome (719784487917).

The spelling of 103252235616 in words is "one hundred three billion, two hundred fifty-two million, two hundred thirty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 358514707 717029414 1075544121 1434058828 2151088242 2868117656 3226632363 4302176484 5736235312 6453264726 8604352968 11472470624 12906529452 17208705936 25813058904 34417411872 51626117808 103252235616