Search a number
-
+
100201020020220 = 22357435548229237
BaseRepresentation
bin10110110010000111011110…
…001101000101010111111100
3111010210010100100221121110210
4112302013132031011113330
5101113143142111121340
6553035414011232420
730051166454132160
oct2662073615052774
9433703310847423
10100201020020220
1129a22017625699
12b2a3766a48710
1343babb9891982
141aa5a80572ca0
15b8b6d257c180
hex5b21de3455fc

100201020020220 has 96 divisors (see below), whose sum is σ = 328100084218368. Its totient is φ = 22370460279552.

The previous prime is 100201020020117. The next prime is 100201020020221. The reversal of 100201020020220 is 22020020102001.

100201020020220 is digitally balanced in base 6, 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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 100201020020196 and 100201020020205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201020020221) 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, 2774096559 + ... + 2774132678.

It is an arithmetic number, because the mean of its divisors is an integer number (3417709210608).

Almost surely, 2100201020020220 is an apocalyptic number.

100201020020220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100201020020220 is an abundant number, since it is smaller than the sum of its proper divisors (227899064198148).

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

100201020020220 is a wasteful number, since it uses less digits than its factorization.

100201020020220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5548229299 (or 5548229297 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 100201020020220 its reverse (22020020102001), we get a palindrome (122221040122221).

The spelling of 100201020020220 in words is "one hundred trillion, two hundred one billion, twenty million, twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 43 60 70 84 86 105 129 140 172 210 215 258 301 420 430 516 602 645 860 903 1204 1290 1505 1806 2580 3010 3612 4515 6020 9030 18060 5548229237 11096458474 16644687711 22192916948 27741146185 33289375422 38837604659 55482292370 66578750844 77675209318 83223438555 110964584740 116512813977 155350418636 166446877110 194188023295 233025627954 238573857191 332893754220 388376046590 466051255908 477147714382 582564069885 715721571573 776752093180 954295428764 1165128139770 1192869285955 1431443143146 1670017000337 2330256279540 2385738571910 2862886286292 3340034000674 3578607857865 4771477143820 5010051001011 6680068001348 7157215715730 8350085001685 10020102002022 14314431431460 16700170003370 20040204004044 25050255005055 33400340006740 50100510010110 100201020020220