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213242221040 = 245211102112373
BaseRepresentation
bin1100011010011000111…
…0100001000111110000
3202101102012212012202112
43012212032201013300
511443210002033130
6241543452504452
721256224654302
oct3064616410760
9671365765675
10213242221040
1182487746932
12353b247b128
131715493b924
14a46ca9d972
155830cc0495
hex31a63a11f0

213242221040 has 80 divisors (see below), whose sum is σ = 498666062496. Its totient is φ = 84802636800.

The previous prime is 213242221007. The next prime is 213242221057. The reversal of 213242221040 is 40122242312.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 213242220997 and 213242221015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17228294 + ... + 17240666.

Almost surely, 2213242221040 is an apocalyptic number.

213242221040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213242221040 is an abundant number, since it is smaller than the sum of its proper divisors (285423841456).

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

213242221040 is a wasteful number, since it uses less digits than its factorization.

213242221040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13618 (or 13612 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 213242221040 its reverse (40122242312), we get a palindrome (253364463352).

The spelling of 213242221040 in words is "two hundred thirteen billion, two hundred forty-two million, two hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 211 422 844 1021 1055 1688 2042 2110 3376 4084 4220 5105 8168 8440 10210 12373 16336 16880 20420 24746 40840 49492 61865 81680 98984 123730 197968 215431 247460 430862 494920 861724 989840 1077155 1723448 2154310 2610703 3446896 4308620 5221406 8617240 10442812 12632833 13053515 17234480 20885624 25265666 26107030 41771248 50531332 52214060 63164165 101062664 104428120 126328330 202125328 208856240 252656660 505313320 1010626640 2665527763 5331055526 10662111052 13327638815 21324222104 26655277630 42648444208 53310555260 106621110520 213242221040