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20312132321 = 13177910111519
BaseRepresentation
bin10010111010101100…
…101000101011100001
31221102120212020022002
4102322230220223201
5313044401213241
613155315253345
71316232163445
oct227254505341
957376766262
1020312132321
11868373a718
123b2a5aa255
131bb9262a10
14da9936825
157dd37489b
hex4bab28ae1

20312132321 has 32 divisors (see below), whose sum is σ = 23688806400. Its totient is φ = 17249356800.

The previous prime is 20312132317. The next prime is 20312132329. The reversal of 20312132321 is 12323121302.

It is not a de Polignac number, because 20312132321 - 22 = 20312132317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20312132293 and 20312132302.

It is not an unprimeable number, because it can be changed into a prime (20312132329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1757600 + ... + 1769118.

It is an arithmetic number, because the mean of its divisors is an integer number (740275200).

Almost surely, 220312132321 is an apocalyptic number.

It is an amenable number.

20312132321 is a deficient number, since it is larger than the sum of its proper divisors (3376674079).

20312132321 is a wasteful number, since it uses less digits than its factorization.

20312132321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11729.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 20312132321 its reverse (12323121302), we get a palindrome (32635253623).

The spelling of 20312132321 in words is "twenty billion, three hundred twelve million, one hundred thirty-two thousand, three hundred twenty-one".

Divisors: 1 13 17 79 101 221 1027 1313 1343 1717 7979 11519 17459 22321 103727 135643 149747 195823 910001 1163419 1763359 2545699 11830013 15124447 15470017 19778123 91910101 201110221 257115599 1194831313 1562471717 20312132321