Search a number
-
+
3222132002001 = 3211299887113513
BaseRepresentation
bin101110111000110110000…
…010001000110011010001
3102102000212220211011010100
4232320312002020303101
5410242411243031001
610504121011123013
7451535302056213
oct56706602106321
912360786734110
103222132002001
111032553572620
124405795a3469
131a4acc13ab43
14b1d484ba5b3
1558c35bbd586
hex2ee36088cd1

3222132002001 has 48 divisors (see below), whose sum is σ = 5252955701760. Its totient is φ = 1885261781760.

The previous prime is 3222132001981. The next prime is 3222132002029. The reversal of 3222132002001 is 1002002312223.

3222132002001 is a `hidden beast` number, since 322 + 2 + 1 + 320 + 0 + 20 + 0 + 1 = 666.

It is not a de Polignac number, because 3222132002001 - 214 = 3222131985617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3222132002071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28328821 + ... + 28442333.

It is an arithmetic number, because the mean of its divisors is an integer number (109436577120).

Almost surely, 23222132002001 is an apocalyptic number.

It is an amenable number.

3222132002001 is a deficient number, since it is larger than the sum of its proper divisors (2030823699759).

3222132002001 is a wasteful number, since it uses less digits than its factorization.

3222132002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123446 (or 123443 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 3222132002001 its reverse (1002002312223), we get a palindrome (4224134314224).

The spelling of 3222132002001 in words is "three trillion, two hundred twenty-two billion, one hundred thirty-two million, two thousand, one".

Divisors: 1 3 9 11 29 33 87 99 261 319 957 2871 9887 29661 88983 108757 113513 286723 326271 340539 860169 978813 1021617 1248643 2580507 3153953 3291877 3745929 9461859 9875631 11237787 28385577 29626893 36210647 108631941 325895823 1122303031 3366909093 10100727279 12345333341 32546787899 37036000023 97640363697 111108000069 292921091091 358014666889 1074044000667 3222132002001