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100303332252480 = 26325723832606267
BaseRepresentation
bin10110110011100110110000…
…011111010001101101000000
3111011010220102200110112002100
4112303212300133101231000
5101121332211024034410
6553154414213350400
730061451035556460
oct2663466037215500
9434126380415070
10100303332252480
1129a6144a177045
12b2bb55b038400
1343c774343a186
141aaa9c8727ba0
15b8e1be7a28c0
hex5b39b07d1b40

100303332252480 has 672 divisors, whose sum is σ = 416387717351424. Its totient is φ = 21665451405312.

The previous prime is 100303332252463. The next prime is 100303332252509. The reversal of 100303332252480 is 84252233303001.

100303332252480 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 0 + 3 + 33 + 22 + 524 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37182307 + ... + 39788573.

It is an arithmetic number, because the mean of its divisors is an integer number (619624579392).

Almost surely, 2100303332252480 is an apocalyptic number.

100303332252480 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 100303332252480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208193858675712).

100303332252480 is an abundant number, since it is smaller than the sum of its proper divisors (316084385098944).

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

100303332252480 is a wasteful number, since it uses less digits than its factorization.

100303332252480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2606403 (or 2606390 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 100303332252480 its reverse (84252233303001), we get a palindrome (184555565555481).

The spelling of 100303332252480 in words is "one hundred trillion, three hundred three billion, three hundred thirty-two million, two hundred fifty-two thousand, four hundred eighty".