Search a number
-
+
20131232132201 = 4119121117097129
BaseRepresentation
bin1001001001111001010101…
…11100001010110001101001
32122021112020011212112220112
410210330222330022301221
510114312230411212301
6110452054350104105
74145301461523251
oct444745274126151
978245204775815
1020131232132201
11646167579a343
122311698aab035
13b304a0520378
144d84dd21c961
1524d9d5e809bb
hex124f2af0ac69

20131232132201 has 32 divisors (see below), whose sum is σ = 20843565926400. Its totient is φ = 19430699904000.

The previous prime is 20131232132189. The next prime is 20131232132251. The reversal of 20131232132201 is 10223123213102.

It is a cyclic number.

It is not a de Polignac number, because 20131232132201 - 234 = 20114052263017 is a prime.

It is a super-3 number, since 3×201312321322013 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20131232132251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2823847205 + ... + 2823854333.

It is an arithmetic number, because the mean of its divisors is an integer number (651361435200).

Almost surely, 220131232132201 is an apocalyptic number.

It is an amenable number.

20131232132201 is a deficient number, since it is larger than the sum of its proper divisors (712333794199).

20131232132201 is a wasteful number, since it uses less digits than its factorization.

20131232132201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9281.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 20131232132201 its reverse (10223123213102), we get a palindrome (30354355345303).

The spelling of 20131232132201 in words is "twenty trillion, one hundred thirty-one billion, two hundred thirty-two million, one hundred thirty-two thousand, two hundred one".

Divisors: 1 41 191 211 1709 7129 7831 8651 40301 70069 292289 326419 360599 1361639 1504219 1652341 12183461 13383179 14784559 55827199 61672979 68874409 287305829 499521901 2327041051 2570710271 2823850769 11779538989 95408683091 105399121111 491005661761 20131232132201