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10132320301131 = 3717191613926089
BaseRepresentation
bin1001001101110001110101…
…0110100011000001001011
31022212122021211020000020010
42103130131112203001023
52312001442444114011
633314420152203003
72064015225345060
oct223343526430113
938778254200203
1010132320301131
11325710272a796
121177865699463
135866209626b2
1427059a82cc67
151288718381a6
hex9371d5a304b

10132320301131 has 64 divisors (see below), whose sum is σ = 17219050675200. Its totient is φ = 5159302926336.

The previous prime is 10132320301127. The next prime is 10132320301139. The reversal of 10132320301131 is 13110302323101.

It is a happy number.

It is not a de Polignac number, because 10132320301131 - 22 = 10132320301127 is a prime.

It is a super-2 number, since 2×101323203011312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10132320301098 and 10132320301107.

It is not an unprimeable number, because it can be changed into a prime (10132320301139) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10477935 + ... + 11404023.

It is an arithmetic number, because the mean of its divisors is an integer number (269047666800).

Almost surely, 210132320301131 is an apocalyptic number.

10132320301131 is a deficient number, since it is larger than the sum of its proper divisors (7086730374069).

10132320301131 is a wasteful number, since it uses less digits than its factorization.

10132320301131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927748.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 10132320301131 its reverse (13110302323101), we get a palindrome (23242622624232).

The spelling of 10132320301131 in words is "ten trillion, one hundred thirty-two billion, three hundred twenty million, three hundred one thousand, one hundred thirty-one".

Divisors: 1 3 7 17 19 21 51 57 119 133 323 357 399 969 1613 2261 4839 6783 11291 27421 30647 33873 82263 91941 191947 214529 520999 575841 643587 926089 1562997 2778267 3646993 6482623 10940979 15743513 17595691 19447869 47230539 52787073 110204591 123169837 299126747 330613773 369509511 897380241 1493781557 2093887229 4481344671 6281661687 10456470899 25394286469 28381849583 31369412697 76182859407 85145548749 177760005283 198672947081 482491442911 533280015849 596018841243 1447474328733 3377440100377 10132320301131