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21312231232212 = 2232738109677029
BaseRepresentation
bin1001101100010001000111…
…11110001101001011010100
32210110102121001000221012100
410312020203332031023110
510243134422143412322
6113154412011322100
74326520646324364
oct466104376151324
983412531027170
1021312231232212
116877514a15aa8
122482553150330
13bb7972413a8b
145397360169a4
1526e5a79a4dac
hex136223f8d2d4

21312231232212 has 36 divisors (see below), whose sum is σ = 54610565120020. Its totient is φ = 7006760952192.

The previous prime is 21312231232211. The next prime is 21312231232213. The reversal of 21312231232212 is 21223213221312.

21312231232212 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 22 + 312 + 322 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (21312231232211) and next prime (21312231232213).

It can be written as a sum of positive squares in 2 ways, for example, as 7720651303236 + 13591579928976 = 2778606^2 + 3686676^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×213122312322122 (a number of 27 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21312231232211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4054835887 + ... + 4054841142.

Almost surely, 221312231232212 is an apocalyptic number.

It is an amenable number.

21312231232212 is an abundant number, since it is smaller than the sum of its proper divisors (33298333887808).

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

21312231232212 is a wasteful number, since it uses less digits than its factorization.

21312231232212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8109677112 (or 8109677107 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 21312231232212 its reverse (21223213221312), we get a palindrome (42535444453524).

The spelling of 21312231232212 in words is "twenty-one trillion, three hundred twelve billion, two hundred thirty-one million, two hundred thirty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2628 8109677029 16219354058 24329031087 32438708116 48658062174 72987093261 97316124348 145974186522 291948373044 592006423117 1184012846234 1776019269351 2368025692468 3552038538702 5328057808053 7104077077404 10656115616106 21312231232212