Search a number
-
+
100728038317 = 432731857749
BaseRepresentation
bin101110111001111011…
…0111110001110101101
3100121222220120112001211
41131303312332032231
53122242334211232
6114135051234421
710164064125124
oct1356366761655
9317886515054
10100728038317
113979a396065
1217631748a11
1396635b7c4a
144c37a16abb
1529480e9a47
hex1773dbe3ad

100728038317 has 8 divisors (see below), whose sum is σ = 103108412000. Its totient is φ = 98349385680.

The previous prime is 100728038273. The next prime is 100728038363. The reversal of 100728038317 is 713830827001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100728038317 - 219 = 100727514029 is a prime.

It is a super-2 number, since 2×1007280383172 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100728038317.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100728033317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 311442 + ... + 546307.

It is an arithmetic number, because the mean of its divisors is an integer number (12888551500).

Almost surely, 2100728038317 is an apocalyptic number.

It is an amenable number.

100728038317 is a deficient number, since it is larger than the sum of its proper divisors (2380373683).

100728038317 is an equidigital number, since it uses as much as digits as its factorization.

100728038317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860523.

The product of its (nonzero) digits is 56448, while the sum is 40.

The spelling of 100728038317 in words is "one hundred billion, seven hundred twenty-eight million, thirty-eight thousand, three hundred seventeen".

Divisors: 1 43 2731 117433 857749 36883207 2342512519 100728038317