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213141034412220 = 223515123525500487
BaseRepresentation
bin110000011101100111000011…
…101001001010100010111100
31000221200002021011021001101210
4300131213003221022202330
5210414100314302142340
62033151350043004420
762615634345652455
oct6035470351124274
91027602234231353
10213141034412220
1161a05672394412
121baa41b1209710
1391c1161c04805
143a8c11c7c212c
15199944a175180
hexc1d9c3a4a8bc

213141034412220 has 48 divisors (see below), whose sum is σ = 600747180461568. Its totient is φ = 56461201166400.

The previous prime is 213141034412203. The next prime is 213141034412263. The reversal of 213141034412220 is 22214430141312.

It is a happy number.

It is a super-2 number, since 2×2131410344122202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 11762741184 + ... + 11762759303.

It is an arithmetic number, because the mean of its divisors is an integer number (12515566259616).

Almost surely, 2213141034412220 is an apocalyptic number.

213141034412220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213141034412220 is an abundant number, since it is smaller than the sum of its proper divisors (387606146049348).

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

213141034412220 is a wasteful number, since it uses less digits than its factorization.

213141034412220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23525500650 (or 23525500648 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 213141034412220 its reverse (22214430141312), we get a palindrome (235355464553532).

The spelling of 213141034412220 in words is "two hundred thirteen trillion, one hundred forty-one billion, thirty-four million, four hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 151 302 453 604 755 906 1510 1812 2265 3020 4530 9060 23525500487 47051000974 70576501461 94102001948 117627502435 141153002922 235255004870 282306005844 352882507305 470510009740 705765014610 1411530029220 3552350573537 7104701147074 10657051720611 14209402294148 17761752867685 21314103441222 35523505735370 42628206882444 53285258603055 71047011470740 106570517206110 213141034412220