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100044311313 = 31743145331397
BaseRepresentation
bin101110100101100011…
…0110000101100010001
3100120020021000120221110
41131023012300230101
53114342320430223
6113543144443533
710141122421002
oct1351306605421
9316207016843
10100044311313
1139479450921
12174807795a9
139584a5575b
144bb0cb71a9
15290808dd93
hex174b1b0b11

100044311313 has 32 divisors (see below), whose sum is σ = 144627728256. Its totient is φ = 61268917248.

The previous prime is 100044311291. The next prime is 100044311321. The reversal of 100044311313 is 313113440001.

It is not a de Polignac number, because 100044311313 - 233 = 91454376721 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100044311313.

It is not an unprimeable number, because it can be changed into a prime (100044311383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3170731 + ... + 3202127.

It is an arithmetic number, because the mean of its divisors is an integer number (4519616508).

Almost surely, 2100044311313 is an apocalyptic number.

It is an amenable number.

100044311313 is a deficient number, since it is larger than the sum of its proper divisors (44583416943).

100044311313 is a wasteful number, since it uses less digits than its factorization.

100044311313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32913.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 100044311313 its reverse (313113440001), we get a palindrome (413157751314).

The spelling of 100044311313 in words is "one hundred billion, forty-four million, three hundred eleven thousand, three hundred thirteen".

Divisors: 1 3 17 43 51 129 731 1453 2193 4359 24701 31397 62479 74103 94191 187437 533749 1062143 1350071 1601247 3186429 4050213 22951207 45619841 68853621 136859523 775537297 1961653163 2326611891 5884959489 33348103771 100044311313