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100120303024 = 2471153775309
BaseRepresentation
bin101110100111110100…
…0101001010110110000
3100120102120000100222021
41131033220221112300
53120021244144044
6113554501321224
710143034351120
oct1351750512660
9316376010867
10100120303024
1139508334595
12174a2106214
139597711571
144bbb018c80
15290ea9ee84
hex174fa295b0

100120303024 has 40 divisors (see below), whose sum is σ = 221887519520. Its totient is φ = 42871431168.

The previous prime is 100120303009. The next prime is 100120303037. The reversal of 100120303024 is 420303021001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 100120302989 and 100120303007.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 258519 + ... + 516790.

It is an arithmetic number, because the mean of its divisors is an integer number (5547187988).

Almost surely, 2100120303024 is an apocalyptic number.

100120303024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100120303024 is an abundant number, since it is smaller than the sum of its proper divisors (121767216496).

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

100120303024 is a wasteful number, since it uses less digits than its factorization.

100120303024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776477 (or 776471 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 100120303024 its reverse (420303021001), we get a palindrome (520423324025).

The spelling of 100120303024 in words is "one hundred billion, one hundred twenty million, three hundred three thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 1153 2306 4612 8071 9224 16142 18448 32284 64568 129136 775309 1550618 3101236 5427163 6202472 10854326 12404944 21708652 43417304 86834608 893931277 1787862554 3575725108 6257518939 7151450216 12515037878 14302900432 25030075756 50060151512 100120303024