Search a number
-
+
106220889140874 = 231710331132509639
BaseRepresentation
bin11000001001101101111010…
…010111010110111010001010
3111221002121200101202001220120
4120021231322113112322022
5102410310340110001444
61013525111450404110
731242130440314664
oct3011557227267212
9457077611661816
10106220889140874
1130933031824512
12bab63a0a30636
1347367824635a1
141c331930d9534
15c430b0a2bb19
hex609b7a5d6e8a

106220889140874 has 64 divisors (see below), whose sum is σ = 227852524523520. Its totient is φ = 32894552113920.

The previous prime is 106220889140831. The next prime is 106220889140893. The reversal of 106220889140874 is 478041988022601.

106220889140874 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1062208891408742 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12987454 + ... + 19522185.

It is an arithmetic number, because the mean of its divisors is an integer number (3560195695680).

Almost surely, 2106220889140874 is an apocalyptic number.

106220889140874 is an abundant number, since it is smaller than the sum of its proper divisors (121631635382646).

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

106220889140874 is a wasteful number, since it uses less digits than its factorization.

106220889140874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32510075.

The product of its (nonzero) digits is 12386304, while the sum is 60.

The spelling of 106220889140874 in words is "one hundred six trillion, two hundred twenty billion, eight hundred eighty-nine million, one hundred forty thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 17 34 51 102 103 206 309 311 618 622 933 1751 1866 3502 5253 5287 10506 10574 15861 31722 32033 64066 96099 192198 544561 1089122 1633683 3267366 32509639 65019278 97528917 195057834 552663863 1105327726 1657991589 3315983178 3348492817 6696985634 10045478451 10110497729 20090956902 20220995458 30331493187 56924377889 60662986374 113848755778 170773133667 171878461393 341546267334 343756922786 515635384179 1031270768358 1041381266087 2082762532174 3124143798261 6248287596522 17703481523479 35406963046958 53110444570437 106220889140874