Search a number
-
+
103131300111 = 37536110631429
BaseRepresentation
bin110000000001100011…
…0101100000100001111
3100212012101201212110220
41200003012230010033
53142203103100421
6115213341402423
710310455405230
oct1400306540417
9325171655426
10103131300111
113a812a26234
1217ba2569413
139957476448
144dc4c85087
152a390b73c6
hex18031ac10f

103131300111 has 64 divisors (see below), whose sum is σ = 163009566720. Its totient is φ = 56779107840.

The previous prime is 103131300089. The next prime is 103131300127. The reversal of 103131300111 is 111003131301.

It is not a de Polignac number, because 103131300111 - 26 = 103131300047 is a prime.

It is a super-2 number, since 2×1031313001112 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103131300131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72169545 + ... + 72170973.

It is an arithmetic number, because the mean of its divisors is an integer number (2547024480).

Almost surely, 2103131300111 is an apocalyptic number.

103131300111 is a deficient number, since it is larger than the sum of its proper divisors (59878266609).

103131300111 is a wasteful number, since it uses less digits than its factorization.

103131300111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2616.

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 103131300111 its reverse (111003131301), we get a palindrome (214134431412).

The spelling of 103131300111 in words is "one hundred three billion, one hundred thirty-one million, three hundred thousand, one hundred eleven".

Divisors: 1 3 7 21 53 61 159 183 371 427 1063 1113 1281 1429 3189 3233 4287 7441 9699 10003 22323 22631 30009 56339 64843 67893 75737 87169 169017 194529 227211 261507 394373 453901 530159 610183 1183119 1361703 1519027 1590477 1830549 3436679 4557081 4619957 10310037 10633189 13859871 24056753 31899567 32339699 72170259 80508431 92660647 97019097 241525293 277981941 563559017 648624529 1690677051 1945873587 4911014291 14733042873 34377100037 103131300111