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1032212032313 = 71124214995801
BaseRepresentation
bin11110000010101001010…
…00011010101100111001
310122200022122001012201212
433001110220122230321
5113402432240013223
62110105222052505
7134401114336460
oct17012450325471
93580278035655
101032212032313
11368838867600
1214807187a135
137644ca15ba7
1437d605819d7
151bcb4687278
hexf054a1ab39

1032212032313 has 48 divisors (see below), whose sum is σ = 1302572208000. Its totient is φ = 800664480000.

The previous prime is 1032212032231. The next prime is 1032212032321. The reversal of 1032212032313 is 3132302122301.

It is not a de Polignac number, because 1032212032313 - 232 = 1027917065017 is a prime.

It is a super-2 number, since 2×10322120323132 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1032212032333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177934013 + ... + 177939813.

It is an arithmetic number, because the mean of its divisors is an integer number (27136921000).

Almost surely, 21032212032313 is an apocalyptic number.

It is an amenable number.

1032212032313 is a deficient number, since it is larger than the sum of its proper divisors (270360175687).

1032212032313 is a wasteful number, since it uses less digits than its factorization.

1032212032313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6750 (or 6739 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 1032212032313 its reverse (3132302122301), we get a palindrome (4164514154614).

The spelling of 1032212032313 in words is "one trillion, thirty-two billion, two hundred twelve million, thirty-two thousand, three hundred thirteen".

Divisors: 1 7 11 77 121 421 499 847 2947 3493 4631 5489 5801 32417 38423 40607 50941 60379 63811 210079 356587 422653 446677 701921 1470553 2310869 2442221 2894699 4913447 16176083 17095547 20262893 25419559 26864431 31841689 177936913 188051017 222891823 295508741 350258579 1218668279 2068561187 2451810053 8530677953 13405351069 93837457483 147458861759 1032212032313