Search a number
-
+
100112320011210 = 235131912774851877
BaseRepresentation
bin10110110000110100110111…
…010001011001101111001010
3111010110122101201020021201220
4112300310313101121233022
5101110220012410324320
6552530544230222510
730041606421400623
oct2660646721315712
9433418351207656
10100112320011210
112999843a7a6021
12b28a5314b4a36
1343b27221a3540
141aa1668192a4a
15b892403dce40
hex5b0d37459bca

100112320011210 has 128 divisors (see below), whose sum is σ = 261045630849024. Its totient is φ = 24425508234240.

The previous prime is 100112320011163. The next prime is 100112320011241. The reversal of 100112320011210 is 12110023211001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100112320011210.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18207792 + ... + 23059668.

It is an arithmetic number, because the mean of its divisors is an integer number (2039418991008).

Almost surely, 2100112320011210 is an apocalyptic number.

100112320011210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100112320011210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130522815424512).

100112320011210 is an abundant number, since it is smaller than the sum of its proper divisors (160933310837814).

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

100112320011210 is a wasteful number, since it uses less digits than its factorization.

100112320011210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4852368.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 100112320011210 its reverse (12110023211001), we get a palindrome (112222343222211).

The spelling of 100112320011210 in words is "one hundred trillion, one hundred twelve billion, three hundred twenty million, eleven thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 191 195 277 382 390 554 573 831 955 1146 1385 1662 1910 2483 2770 2865 3601 4155 4966 5730 7202 7449 8310 10803 12415 14898 18005 21606 24830 36010 37245 52907 54015 74490 105814 108030 158721 264535 317442 529070 687791 793605 1375582 1587210 2063373 3438955 4126746 4851877 6877910 9703754 10316865 14555631 20633730 24259385 29111262 48518770 63074401 72778155 126148802 145556310 189223203 315372005 378446406 630744010 926708507 946116015 1343969929 1853417014 1892232030 2687939858 2780125521 4031909787 4633542535 5560251042 6719849645 8063819574 9267085070 12047210591 13439699290 13900627605 17471609077 20159548935 24094421182 27801255210 34943218154 36141631773 40319097870 52414827231 60236052955 72283263546 87358045385 104829654462 120472105910 174716090770 180708158865 256698256439 262074136155 361416317730 513396512878 524148272310 770094769317 1283491282195 1540189538634 2566982564390 3337077333707 3850473846585 6674154667414 7700947693170 10011232001121 16685386668535 20022464002242 33370773337070 50056160005605 100112320011210