Search a number
-
+
121101310303131 = 3195973900754767
BaseRepresentation
bin11011100010010000011000…
…100101010001101110011011
3120212210011122112102002122210
4123202100120211101232123
5111333110440414200011
61105321101322450203
734336165235253354
oct3342203045215633
9525704575362583
10121101310303131
113564a86061a354
12116ba2b3963963
135275a5c809732
1421c949857ad2b
15e001ca17e6a6
hex6e2418951b9b

121101310303131 has 64 divisors (see below), whose sum is σ = 175237971148800. Its totient is φ = 74149112192256.

The previous prime is 121101310303073. The next prime is 121101310303147. The reversal of 121101310303131 is 131303013101121.

It is not a de Polignac number, because 121101310303131 - 26 = 121101310303067 is a prime.

It is a super-2 number, since 2×1211013103031312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121101310303098 and 121101310303107.

It is not an unprimeable number, because it can be changed into a prime (121101310303151) 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, 2211182110 + ... + 2211236876.

It is an arithmetic number, because the mean of its divisors is an integer number (2738093299200).

Almost surely, 2121101310303131 is an apocalyptic number.

121101310303131 is a deficient number, since it is larger than the sum of its proper divisors (54136660845669).

121101310303131 is a wasteful number, since it uses less digits than its factorization.

121101310303131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63928.

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 121101310303131 its reverse (131303013101121), we get a palindrome (252404323404252).

The spelling of 121101310303131 in words is "one hundred twenty-one trillion, one hundred one billion, three hundred ten million, three hundred three thousand, one hundred thirty-one".

Divisors: 1 3 19 57 59 73 177 219 1121 1387 3363 4161 4307 9007 12921 27021 54767 81833 164301 171133 245499 513399 531413 657511 1040573 1594239 1972533 3121719 3231253 3997991 9693759 10096847 11993973 12492709 30290541 37478127 38793149 61393807 75961829 116379447 184181421 227885487 235881469 493286369 707644407 737069831 1479859107 2211209493 4481747911 9372441011 13445243733 28117323033 29103895771 36009904937 87311687313 108029714811 552974019649 684188193803 1658922058947 2052564581409 2124584391283 6373753173849 40367103434377 121101310303131