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1032020444313 = 33349148173951
BaseRepresentation
bin11110000010010010011…
…01100100010010011001
310122122211021112112102000
433001021031210102121
5113402034213204223
62110034215431213
7134363300016045
oct17011115442231
93578737475360
101032020444313
1136874a6aa711
12148019685509
137641c115701
1437d42d4d025
151bca2940543
hexf049364499

1032020444313 has 32 divisors (see below), whose sum is σ = 1534356096000. Its totient is φ = 685569744000.

The previous prime is 1032020444311. The next prime is 1032020444327. The reversal of 1032020444313 is 3134440202301.

1032020444313 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 0 + 204 + 443 + 13 = 666.

It is not a de Polignac number, because 1032020444313 - 21 = 1032020444311 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1032020444311) 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, 13918488 + ... + 13992438.

It is an arithmetic number, because the mean of its divisors is an integer number (47948628000).

Almost surely, 21032020444313 is an apocalyptic number.

It is an amenable number.

1032020444313 is a deficient number, since it is larger than the sum of its proper divisors (502335651687).

1032020444313 is a wasteful number, since it uses less digits than its factorization.

1032020444313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75790 (or 75784 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 1032020444313 its reverse (3134440202301), we get a palindrome (4166460646614).

The spelling of 1032020444313 in words is "one trillion, thirty-two billion, twenty million, four hundred forty-four thousand, three hundred thirteen".

Divisors: 1 3 9 27 349 1047 1481 3141 4443 9423 13329 39987 73951 221853 516869 665559 1550607 1996677 4651821 13955463 25808899 77426697 109521431 232280091 328564293 696840273 985692879 2957078637 38222979419 114668938257 344006814771 1032020444313