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13121023212 = 22321173453889
BaseRepresentation
bin11000011100001001…
…01110110011101100
31020212102112001002200
430032010232303230
5203332440220322
610005553021500
7643102566663
oct141604566354
936772461080
1013121023212
115623525a40
122662254890
13131149657b
148c686ddda
1551bdaa8ac
hex30e12ecec

13121023212 has 72 divisors (see below), whose sum is σ = 36677943120. Its totient is φ = 3921592320.

The previous prime is 13121023207. The next prime is 13121023241. The reversal of 13121023212 is 21232012131.

13121023212 is a `hidden beast` number, since 131 + 210 + 2 + 321 + 2 = 666.

13121023212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×131210232122 (a number of 21 digits) contains 22 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 198037 + ... + 255852.

Almost surely, 213121023212 is an apocalyptic number.

13121023212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13121023212 is an abundant number, since it is smaller than the sum of its proper divisors (23556919908).

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

13121023212 is a wasteful number, since it uses less digits than its factorization.

13121023212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453983 (or 453978 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13121023212 its reverse (21232012131), we get a palindrome (34353035343).

The spelling of 13121023212 in words is "thirteen billion, one hundred twenty-one million, twenty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 73 99 132 146 198 219 292 396 438 657 803 876 1314 1606 2409 2628 3212 4818 7227 9636 14454 28908 453889 907778 1361667 1815556 2723334 4085001 4992779 5446668 8170002 9985558 14978337 16340004 19971116 29956674 33133897 44935011 59913348 66267794 89870022 99401691 132535588 179740044 198803382 298205073 364472867 397606764 596410146 728945734 1093418601 1192820292 1457891468 2186837202 3280255803 4373674404 6560511606 13121023212