Search a number
-
+
131212012113 = 32713431503739
BaseRepresentation
bin111101000110011011…
…0000110101001010001
3110112200101112211200100
41322030312012221101
54122210233341423
6140140012443013
712323361462240
oct1721466065121
9415611484610
10131212012113
115071283a836
122151a779469
13c4b1013670
1464ca444957
15362e473343
hex1e8cd86a51

131212012113 has 96 divisors (see below), whose sum is σ = 234588856320. Its totient is φ = 68819621760.

The previous prime is 131212012111. The next prime is 131212012123. The reversal of 131212012113 is 311210212131.

It is not a de Polignac number, because 131212012113 - 21 = 131212012111 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131212012111) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 177553098 + ... + 177553836.

It is an arithmetic number, because the mean of its divisors is an integer number (2443633920).

Almost surely, 2131212012113 is an apocalyptic number.

131212012113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131212012113 is a deficient number, since it is larger than the sum of its proper divisors (103376844207).

131212012113 is a wasteful number, since it uses less digits than its factorization.

131212012113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1699 (or 1696 counting only the distinct ones).

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

Adding to 131212012113 its reverse (311210212131), we get a palindrome (442422224244).

The spelling of 131212012113 in words is "one hundred thirty-one billion, two hundred twelve million, twelve thousand, one hundred thirteen".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 431 503 739 819 1293 1509 2217 3017 3521 3879 4527 5173 5603 6539 6651 9051 9607 10563 15519 16809 19617 27153 28821 31689 39221 45773 46557 50427 58851 67249 86463 117663 137319 201747 216793 318509 352989 371717 411957 605241 650379 955527 1115151 1517551 1951137 2229563 2602019 2818309 2866581 3345453 4140617 4552653 4832321 6688689 7806057 8454927 12421851 13657959 14496963 19728163 20066067 23418171 25364781 28984319 33826247 37265553 43490889 59184489 86952957 101478741 160210027 177553467 260858871 304436223 480630081 1121470189 1441890243 2082730351 3364410567 6248191053 10093231701 14579112457 18744573159 43737337371 131212012113