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11312002212 = 2237253362983
BaseRepresentation
bin10101000100011111…
…10111010010100100
31002012100112020210220
422202033313102210
5141131333032322
65110251244340
7550215301200
oct124217672244
932170466726
1011312002212
11488536a765
1222384496b0
1310b3768444
147944c9b00
1546316e55c
hex2a23f74a4

11312002212 has 72 divisors (see below), whose sum is σ = 31283413056. Its totient is φ = 3171010752.

The previous prime is 11312002201. The next prime is 11312002237. The reversal of 11312002212 is 21220021311.

11312002212 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 2×113120022122 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11312002191 and 11312002200.

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, 150328 + ... + 212655.

It is an arithmetic number, because the mean of its divisors is an integer number (434491848).

Almost surely, 211312002212 is an apocalyptic number.

11312002212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11312002212 is an abundant number, since it is smaller than the sum of its proper divisors (19971410844).

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

11312002212 is a wasteful number, since it uses less digits than its factorization.

11312002212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363057 (or 363048 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11312002212 its reverse (21220021311), we get a palindrome (32532023523).

The spelling of 11312002212 in words is "eleven billion, three hundred twelve million, two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 53 84 98 106 147 159 196 212 294 318 371 588 636 742 1113 1484 2226 2597 4452 5194 7791 10388 15582 31164 362983 725966 1088949 1451932 2177898 2540881 4355796 5081762 7622643 10163524 15245286 17786167 19238099 30490572 35572334 38476198 53358501 57714297 71144668 76952396 106717002 115428594 134666693 213434004 230857188 269333386 404000079 538666772 808000158 942666851 1616000316 1885333702 2828000553 3770667404 5656001106 11312002212