Search a number
-
+
121013131310001 = 32719315823628993
BaseRepresentation
bin11011100000111110010000…
…101101000111001110110001
3120212110202001012002010100100
4123200332100231013032301
5111330134343103410001
61105212355352543013
734326624130215630
oct3340762055071661
9525422035063310
10121013131310001
1135616420900717
12116a51a49b1a69
13526a649051018
1421c50d1463517
15decc68b0a586
hex6e0f90b473b1

121013131310001 has 48 divisors (see below), whose sum is σ = 200815784505856. Its totient is φ = 68787611762688.

The previous prime is 121013131309921. The next prime is 121013131310021. The reversal of 121013131310001 is 100013131310121.

121013131310001 is a `hidden beast` number, since 1 + 210 + 13 + 131 + 310 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 121013131310001 - 226 = 121013064201137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121013131310021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 192077361 + ... + 192706353.

Almost surely, 2121013131310001 is an apocalyptic number.

It is an amenable number.

121013131310001 is a deficient number, since it is larger than the sum of its proper divisors (79802653195855).

121013131310001 is a wasteful number, since it uses less digits than its factorization.

121013131310001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645022 (or 645019 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 121013131310001 its reverse (100013131310121), we get a palindrome (221026262620122).

The spelling of 121013131310001 in words is "one hundred twenty-one trillion, thirteen billion, one hundred thirty-one million, three hundred ten thousand, one".

Divisors: 1 3 7 9 21 63 193 579 1351 1737 4053 12159 15823 47469 110761 142407 332283 628993 996849 1886979 3053839 4402951 5660937 9161517 13208853 21376873 27484551 39626559 64130619 121395649 192391857 364186947 849769543 1092560841 2549308629 7647925887 9952556239 29857668717 69667893673 89573006151 209003681019 627011043057 1920843354127 5762530062381 13445903478889 17287590187143 40337710436667 121013131310001