Search a number
-
+
12112331010102 = 234434517384941
BaseRepresentation
bin1011000001000001111100…
…1011111111000000110110
31120212221001011200122220000
42300100133023333000312
53041422023214310402
641432154505252130
72360041565600541
oct260203713770066
946787034618800
1012112331010102
11394a8a10a6344
12143754b194046
1369b259acb5bb
142dc3505c3858
151601099b2c1c
hexb041f2ff036

12112331010102 has 80 divisors (see below), whose sum is σ = 27777990593232. Its totient is φ = 3942666342720.

The previous prime is 12112331010097. The next prime is 12112331010103. The reversal of 12112331010102 is 20101013321121.

12112331010102 is a `hidden beast` number, since 121 + 123 + 310 + 10 + 102 = 666.

12112331010102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12112331010103) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 31272952 + ... + 31657892.

Almost surely, 212112331010102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12112331010102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13888995296616).

12112331010102 is an abundant number, since it is smaller than the sum of its proper divisors (15665659583130).

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

12112331010102 is a wasteful number, since it uses less digits than its factorization.

12112331010102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389515 (or 389506 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12112331010102 its reverse (20101013321121), we get a palindrome (32213344331223).

The spelling of 12112331010102 in words is "twelve trillion, one hundred twelve billion, three hundred thirty-one million, ten thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 43 54 81 86 129 162 258 387 774 1161 2322 3483 4517 6966 9034 13551 27102 40653 81306 121959 194231 243918 365877 384941 388462 582693 731754 769882 1154823 1165386 1748079 2309646 3464469 3496158 5244237 6928938 10393407 10488474 15732711 16552463 20786814 31180221 31465422 33104926 49657389 62360442 99314778 148972167 297944334 446916501 893833002 1340749503 1738778497 2681499006 3477556994 5216335491 10432670982 15649006473 31298012946 46947019419 74767475371 93894038838 140841058257 149534950742 224302426113 281682116514 448604852226 672907278339 1345814556678 2018721835017 4037443670034 6056165505051 12112331010102