Search a number
-
+
121133132001 = 32717569319867
BaseRepresentation
bin111000011010000011…
…0001110100011100001
3102120122222100200101100
41300310012032203201
53441040040211001
6131351531225013
711515535430150
oct1606406164341
9376588320340
10121133132001
1147410549a52
121b5872a8169
13b565b9878b
145c11a2b597
15323e6d3586
hex1c3418e8e1

121133132001 has 48 divisors (see below), whose sum is σ = 211776349824. Its totient is φ = 65132508672.

The previous prime is 121133131991. The next prime is 121133132033. The reversal of 121133132001 is 100231331121.

121133132001 is a `hidden beast` number, since 1 + 2 + 11 + 331 + 320 + 0 + 1 = 666.

It is not a de Polignac number, because 121133132001 - 213 = 121133123809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121133132201) 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, 6087270 + ... + 6107136.

It is an arithmetic number, because the mean of its divisors is an integer number (4412007288).

Almost surely, 2121133132001 is an apocalyptic number.

It is an amenable number.

121133132001 is a deficient number, since it is larger than the sum of its proper divisors (90643217823).

121133132001 is a wasteful number, since it uses less digits than its factorization.

121133132001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25590 (or 25587 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 121133132001 its reverse (100231331121), we get a palindrome (221364463122).

The spelling of 121133132001 in words is "one hundred twenty-one billion, one hundred thirty-three million, one hundred thirty-two thousand, one".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 1071 5693 17079 19867 39851 51237 59601 96781 119553 139069 178803 290343 337739 358659 417207 677467 871029 1013217 1251621 2032401 2364173 3039651 6097203 7092519 21277557 113102831 339308493 791719817 1017925479 1922748127 2375159451 5768244381 7125478353 13459236889 17304733143 40377710667 121133132001