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100343255544 = 2335719974001
BaseRepresentation
bin101110101110011101…
…1001001000111111000
3100121000002112112100000
41131130323021013320
53121000333134134
6114032544113000
710151412412350
oct1353473110770
9317002475300
10100343255544
1139612174074
1217544905760
139601973b2c
144bdc893b60
15292443ee99
hex175cec91f8

100343255544 has 384 divisors, whose sum is σ = 342622425600. Its totient is φ = 26873856000.

The previous prime is 100343255527. The next prime is 100343255609. The reversal of 100343255544 is 445552343001.

100343255544 is a `hidden beast` number, since 1 + 0 + 0 + 34 + 32 + 55 + 544 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 100343255499 and 100343255508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25077544 + ... + 25081544.

It is an arithmetic number, because the mean of its divisors is an integer number (892245900).

Almost surely, 2100343255544 is an apocalyptic number.

100343255544 is a gapful number since it is divisible by the number (14) 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 100343255544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171311212800).

100343255544 is an abundant number, since it is smaller than the sum of its proper divisors (242279170056).

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

100343255544 is a wasteful number, since it uses less digits than its factorization.

100343255544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4145 (or 4129 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 100343255544 its reverse (445552343001), we get a palindrome (545895598545).

The spelling of 100343255544 in words is "one hundred billion, three hundred forty-three million, two hundred fifty-five thousand, five hundred forty-four".