Search a number
-
+
132400323132021 = 3279772151066971
BaseRepresentation
bin11110000110101011011010…
…001110100111101001110101
3122100210100101011110022112100
4132012223122032213221311
5114323221330210211041
61145331511353012313
736613415301532440
oct3606533216475165
9570710334408470
10132400323132021
113920673081426a
1212a240a03b4099
1358b53b2394569
14249a2d1ac6657
1510490824ec6b6
hex786ada3a7a75

132400323132021 has 24 divisors (see below), whose sum is σ = 218789323856064. Its totient is φ = 75579889057920.

The previous prime is 132400323132013. The next prime is 132400323132029. The reversal of 132400323132021 is 120231323004231.

132400323132021 is a `hidden beast` number, since 1 + 3 + 2 + 400 + 3 + 231 + 3 + 2 + 0 + 21 = 666.

It is an interprime number because it is at equal distance from previous prime (132400323132013) and next prime (132400323132029).

It is not a de Polignac number, because 132400323132021 - 23 = 132400323132013 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132400323132029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1075471935 + ... + 1075595036.

It is an arithmetic number, because the mean of its divisors is an integer number (9116221827336).

Almost surely, 2132400323132021 is an apocalyptic number.

It is an amenable number.

132400323132021 is a deficient number, since it is larger than the sum of its proper divisors (86389000724043).

132400323132021 is a wasteful number, since it uses less digits than its factorization.

132400323132021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2151067961 (or 2151067958 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 132400323132021 its reverse (120231323004231), we get a palindrome (252631646136252).

The spelling of 132400323132021 in words is "one hundred thirty-two trillion, four hundred billion, three hundred twenty-three million, one hundred thirty-two thousand, twenty-one".

Divisors: 1 3 7 9 21 63 977 2931 6839 8793 20517 61551 2151066971 6453200913 15057468797 19359602739 45172406391 135517219173 2101592430667 6304777292001 14711147014669 18914331876003 44133441044007 132400323132021