Search a number
-
+
121133032301331 = 3329154703744957
BaseRepresentation
bin11011100010101101111011…
…010111000110001100010011
3120212220012112021221120111000
4123202231323113012030103
5111334120422232120311
61105343425151153043
734341400314635211
oct3342557327061423
9525805467846430
10121133032301331
1135662259891096
1211704487515783
135278a46880b7b
1421cac27595cb1
15e00e35055056
hex6e2b7b5c6313

121133032301331 has 16 divisors (see below), whose sum is σ = 185644493949600. Its totient is φ = 77970687457824.

The previous prime is 121133032301261. The next prime is 121133032301363. The reversal of 121133032301331 is 133103230331121.

121133032301331 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 3 + 3 + 0 + 323 + 0 + 1 + 331 = 666.

It is not a de Polignac number, because 121133032301331 - 237 = 120995593347859 is a prime.

It is a super-2 number, since 2×1211330323013312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 121133032301295 and 121133032301304.

It is not an unprimeable number, because it can be changed into a prime (121133032301431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77351871696 + ... + 77351873261.

It is an arithmetic number, because the mean of its divisors is an integer number (11602780871850).

Almost surely, 2121133032301331 is an apocalyptic number.

121133032301331 is a deficient number, since it is larger than the sum of its proper divisors (64511461648269).

121133032301331 is a wasteful number, since it uses less digits than its factorization.

121133032301331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154703744995 (or 154703744989 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 121133032301331 its reverse (133103230331121), we get a palindrome (254236262632452).

The spelling of 121133032301331 in words is "one hundred twenty-one trillion, one hundred thirty-three billion, thirty-two million, three hundred one thousand, three hundred thirty-one".

Divisors: 1 3 9 27 29 87 261 783 154703744957 464111234871 1392333704613 4177001113839 4486408603753 13459225811259 40377677433777 121133032301331