Search a number
-
+
12210102011112 = 2331212914194493
BaseRepresentation
bin1011000110101110001011…
…0010110000010011101000
31121020021102000002010100120
42301223202302300103220
53100022242103323422
641545124325203240
72400102465440655
oct261534262602350
947207360063316
1012210102011112
1139883032a5515
121452496560520
136a753b895215
14302d875b8c2c
1516292d1a345c
hexb1ae2cb04e8

12210102011112 has 32 divisors (see below), whose sum is σ = 30525513974880. Its totient is φ = 4069999477440.

The previous prime is 12210102011033. The next prime is 12210102011131. The reversal of 12210102011112 is 21111020101221.

It is a happy number.

It is a super-2 number, since 2×122101020111122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12210102011091 and 12210102011100.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 813738 + ... + 5008230.

It is an arithmetic number, because the mean of its divisors is an integer number (953922311715).

Almost surely, 212210102011112 is an apocalyptic number.

12210102011112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12210102011112 is an abundant number, since it is smaller than the sum of its proper divisors (18315411963768).

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

12210102011112 is a wasteful number, since it uses less digits than its factorization.

12210102011112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4315793 (or 4315789 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12210102011112 its reverse (21111020101221), we get a palindrome (33321122112333).

The spelling of 12210102011112 in words is "twelve trillion, two hundred ten billion, one hundred two million, eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 121291 242582 363873 485164 727746 970328 1455492 2910984 4194493 8388986 12583479 16777972 25166958 33555944 50333916 100667832 508754250463 1017508500926 1526262751389 2035017001852 3052525502778 4070034003704 6105051005556 12210102011112