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213122201220 = 223353911100913
BaseRepresentation
bin1100011001111100010…
…0101011011010000100
3202101002212000120112000
43012133010223122010
511442433240414340
6241523524225300
721253236551265
oct3063704533204
9671085016460
10213122201220
1182425a211a5
123537a23b230
1317135b08996
14a45ab7a96c
1558254b3d30
hex319f12b684

213122201220 has 96 divisors (see below), whose sum is σ = 663222954240. Its totient is φ = 56817492480.

The previous prime is 213122201219. The next prime is 213122201231. The reversal of 213122201220 is 22102221312.

213122201220 is a `hidden beast` number, since 213 + 12 + 220 + 1 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 213122201193 and 213122201202.

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, 2061484 + ... + 2162396.

It is an arithmetic number, because the mean of its divisors is an integer number (6908572440).

Almost surely, 2213122201220 is an apocalyptic number.

213122201220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213122201220 is an abundant number, since it is smaller than the sum of its proper divisors (450100753020).

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

213122201220 is a wasteful number, since it uses less digits than its factorization.

213122201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104842 (or 104834 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 213122201220 its reverse (22102221312), we get a palindrome (235224422532).

The spelling of 213122201220 in words is "two hundred thirteen billion, one hundred twenty-two million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 3911 7822 11733 15644 19555 23466 35199 39110 46932 58665 70398 78220 100913 105597 117330 140796 175995 201826 211194 234660 302739 351990 403652 422388 504565 527985 605478 703980 908217 1009130 1055970 1210956 1513695 1816434 2018260 2111940 2724651 3027390 3632868 4541085 5449302 6054780 9082170 10898604 13623255 18164340 27246510 54493020 394670743 789341486 1184012229 1578682972 1973353715 2368024458 3552036687 3946707430 4736048916 5920061145 7104073374 7893414860 10656110061 11840122290 14208146748 17760183435 21312220122 23680244580 35520366870 42624440244 53280550305 71040733740 106561100610 213122201220