Search a number
-
+
100120311222243 = 31349916073201409
BaseRepresentation
bin10110110000111100010011…
…100101011100111111100011
3111010111102000122002212102220
4112300330103211130333203
5101110332344133102433
6552534345213442123
730042311434514154
oct2660742345347743
9433442018085386
10100120311222243
11299a0870610164
12b28bba17a0343
1343b33c695a090
141aa1bc560d92b
15b8955bc4e2b3
hex5b0f1395cfe3

100120311222243 has 32 divisors (see below), whose sum is σ = 144140283840000. Its totient is φ = 61450744836096.

The previous prime is 100120311222119. The next prime is 100120311222427. The reversal of 100120311222243 is 342222113021001.

It is a de Polignac number, because none of the positive numbers 2k-100120311222243 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100120311227243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29673123 + ... + 32874531.

It is an arithmetic number, because the mean of its divisors is an integer number (4504383870000).

Almost surely, 2100120311222243 is an apocalyptic number.

100120311222243 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100120311222243 is a deficient number, since it is larger than the sum of its proper divisors (44019972617757).

100120311222243 is a wasteful number, since it uses less digits than its factorization.

100120311222243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3203531.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 100120311222243 its reverse (342222113021001), we get a palindrome (442342424243244).

The spelling of 100120311222243 in words is "one hundred trillion, one hundred twenty billion, three hundred eleven million, two hundred twenty-two thousand, two hundred forty-three".

Divisors: 1 3 13 39 499 1497 1607 4821 6487 19461 20891 62673 801893 2405679 3201409 9604227 10424609 31273827 41618317 124854951 1597503091 4792509273 5144664263 15433992789 20767540183 62302620549 66880635419 200641906257 2567187467237 7701562401711 33373437074081 100120311222243