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100220222002110 = 23577926472282207
BaseRepresentation
bin10110110010011001010110…
…101110110101001110111110
3111010211221220120212100200020
4112302121112232311032332
5101114002003313031420
6553052311232313010
730052446346235520
oct2662312656651676
9433757816770606
10100220222002110
1129a2a180647911
12b2a74256a2766
1343bc959b2b832
141aa6982887a10
15b8be58213340
hex5b2656bb53be

100220222002110 has 128 divisors (see below), whose sum is σ = 278474655006720. Its totient is φ = 22608956732544.

The previous prime is 100220222002097. The next prime is 100220222002139. The reversal of 100220222002110 is 11200222022001.

100220222002110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 100220222002110.

It is a congruent number.

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, 42772627 + ... + 45054833.

It is an arithmetic number, because the mean of its divisors is an integer number (2175583242240).

Almost surely, 2100220222002110 is an apocalyptic number.

100220222002110 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 100220222002110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139237327503360).

100220222002110 is an abundant number, since it is smaller than the sum of its proper divisors (178254433004610).

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

100220222002110 is a wasteful number, since it uses less digits than its factorization.

100220222002110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2284950.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100220222002110 its reverse (11200222022001), we get a palindrome (111420444024111).

The spelling of 100220222002110 in words is "one hundred trillion, two hundred twenty billion, two hundred twenty-two million, two thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 79 105 158 210 237 395 474 553 790 1106 1185 1659 2370 2647 2765 3318 5294 5530 7941 8295 13235 15882 16590 18529 26470 37058 39705 55587 79410 92645 111174 185290 209113 277935 418226 555870 627339 1045565 1254678 1463791 2091130 2282207 2927582 3136695 4391373 4564414 6273390 6846621 7318955 8782746 11411035 13693242 14637910 15975449 21956865 22822070 31950898 34233105 43913730 47926347 68466210 79877245 95852694 159754490 180294353 239631735 360588706 479263470 540883059 901471765 1081766118 1262060471 1802943530 2524120942 2704415295 3786181413 5408830590 6041001929 6310302355 7572362826 12082003858 12620604710 18123005787 18930907065 30205009645 36246011574 37861814130 42287013503 60410019290 84574027006 90615028935 126861040509 181230057870 211435067515 253722081018 422870135030 477239152391 634305202545 954478304782 1268610405090 1431717457173 2386195761955 2863434914346 3340674066737 4772391523910 6681348133474 7158587285865 10022022200211 14317174571730 16703370333685 20044044400422 33406740667370 50110111001055 100220222002110