Search a number
-
+
100201111120220 = 225112728116695121
BaseRepresentation
bin10110110010000111100011…
…101000100110100101011100
3111010210010120201100222011212
4112302013203220212211130
5101113143333421321340
6553035431024003552
730051201641355635
oct2662074350464534
9433703521328155
10100201111120220
1129a22063a98450
12b2a37914605b8
1343bac0270a4b6
141aa5a8c6c888c
15b8b6da574a65
hex5b21e3a2695c

100201111120220 has 48 divisors (see below), whose sum is σ = 229560064475616. Its totient is φ = 36435429888000.

The previous prime is 100201111120189. The next prime is 100201111120249. The reversal of 100201111120220 is 22021111102001.

It is a super-2 number, since 2×1002011111202202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100201111120195 and 100201111120204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2345741 + ... + 14349380.

It is an arithmetic number, because the mean of its divisors is an integer number (4782501343242).

Almost surely, 2100201111120220 is an apocalyptic number.

100201111120220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100201111120220 is an abundant number, since it is smaller than the sum of its proper divisors (129358953355396).

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

100201111120220 is a wasteful number, since it uses less digits than its factorization.

100201111120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16722422 (or 16722420 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100201111120220 its reverse (22021111102001), we get a palindrome (122222222222221).

The spelling of 100201111120220 in words is "one hundred trillion, two hundred one billion, one hundred eleven million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 27281 54562 109124 136405 272810 300091 545620 600182 1200364 1500455 3000910 6001820 16695121 33390242 66780484 83475605 166951210 183646331 333902420 367292662 734585324 918231655 1836463310 3672926620 455459596001 910919192002 1821838384004 2277297980005 4554595960010 5010055556011 9109191920020 10020111112022 20040222224044 25050277780055 50100555560110 100201111120220