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132133624231 = 771733641951
BaseRepresentation
bin111101100001111000…
…1110001100110100111
3110122001121201120211111
41323003301301212213
54131102201433411
6140411254045451
712355252163110
oct1730361614647
9418047646744
10132133624231
1151045a93644
1221737349887
13c5c9c3618b
1465769c9207
15368531d721
hex1ec3c719a7

132133624231 has 16 divisors (see below), whose sum is σ = 155234562048. Its totient is φ = 110132568000.

The previous prime is 132133624211. The next prime is 132133624247. The reversal of 132133624231 is 132426331231.

It is a happy number.

It is not a de Polignac number, because 132133624231 - 221 = 132131527079 is a prime.

It is a super-3 number, since 3×1321336242313 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132133624193 and 132133624202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132133624211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1784695 + ... + 1857256.

It is an arithmetic number, because the mean of its divisors is an integer number (9702160128).

Almost surely, 2132133624231 is an apocalyptic number.

132133624231 is a deficient number, since it is larger than the sum of its proper divisors (23100937817).

132133624231 is an equidigital number, since it uses as much as digits as its factorization.

132133624231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3642102.

The product of its digits is 15552, while the sum is 31.

Adding to 132133624231 its reverse (132426331231), we get a palindrome (264559955462).

The spelling of 132133624231 in words is "one hundred thirty-two billion, one hundred thirty-three million, six hundred twenty-four thousand, two hundred thirty-one".

Divisors: 1 7 71 73 497 511 5183 36281 3641951 25493657 258578521 265862423 1810049647 1861036961 18876232033 132133624231