Search a number
-
+
213032334434031 = 32721360433550837
BaseRepresentation
bin110000011100000001110100…
…100111101001111011101111
31000221021200200200002000200200
4300130001310213221323233
5210410310210103342111
62033025411533124543
762605035561253200
oct6034016447517357
91027250620060620
10213032334434031
11619735620569a2
121ba87115929753
1391b3b2ab4c7a8
143a86b6a1275a7
1519966d7274256
hexc1c0749e9eef

213032334434031 has 36 divisors (see below), whose sum is σ = 357955021810152. Its totient is φ = 121731833440224.

The previous prime is 213032334433993. The next prime is 213032334434047. The reversal of 213032334434031 is 130434433230312.

213032334434031 is a `hidden beast` number, since 2 + 1 + 303 + 2 + 3 + 3 + 4 + 4 + 340 + 3 + 1 = 666.

It is not a de Polignac number, because 213032334434031 - 214 = 213032334417647 is a prime.

It is a super-2 number, since 2×2130323344340312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213032334434431) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58219545 + ... + 61770381.

It is an arithmetic number, because the mean of its divisors is an integer number (9943195050282).

Almost surely, 2213032334434031 is an apocalyptic number.

213032334434031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

213032334434031 is a deficient number, since it is larger than the sum of its proper divisors (144922687376121).

213032334434031 is a wasteful number, since it uses less digits than its factorization.

213032334434031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3686900 (or 3686890 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

Adding to 213032334434031 its reverse (130434433230312), we get a palindrome (343466767664343).

The spelling of 213032334434031 in words is "two hundred thirteen trillion, thirty-two billion, three hundred thirty-four million, four hundred thirty-four thousand, thirty-one".

Divisors: 1 3 7 9 21 49 63 147 441 136043 408129 952301 1224387 2856903 3550837 6666107 8570709 10652511 19998321 24855859 31957533 59994963 74567577 173991013 223702731 521973039 1565919117 483066517991 1449199553973 3381465625937 4347598661919 10144396877811 23670259381559 30433190633433 71010778144677 213032334434031