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100380384749 = 47109131373401
BaseRepresentation
bin101110101111100100…
…0110001110111101101
3100121002200101220000202
41131133020301313231
53121034334302444
6114040352003245
710152343122641
oct1353710616755
9317080356022
10100380384749
1139631123867
1217555230525
139609573a88
144c0379ac21
15292782634e
hex175f231ded

100380384749 has 32 divisors (see below), whose sum is σ = 104786542080. Its totient is φ = 96100992000.

The previous prime is 100380384743. The next prime is 100380384751. The reversal of 100380384749 is 947483083001.

It is a cyclic number.

It is not a de Polignac number, because 100380384749 - 220 = 100379336173 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100380384743) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 250324949 + ... + 250325349.

It is an arithmetic number, because the mean of its divisors is an integer number (3274579440).

Almost surely, 2100380384749 is an apocalyptic number.

It is an amenable number.

100380384749 is a deficient number, since it is larger than the sum of its proper divisors (4406157331).

100380384749 is a wasteful number, since it uses less digits than its factorization.

100380384749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061.

The product of its (nonzero) digits is 580608, while the sum is 47.

The spelling of 100380384749 in words is "one hundred billion, three hundred eighty million, three hundred eighty-four thousand, seven hundred forty-nine".

Divisors: 1 47 109 131 373 401 5123 6157 14279 17531 18847 40657 43709 48863 52531 149573 671113 1910879 2054323 2296561 2468957 5326067 5725879 7029931 16303457 19594063 250325149 269116313 766262479 920920961 2135752867 100380384749