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1021131003431 = 71179716639199
BaseRepresentation
bin11101101110000000010…
…01101001011000100111
310121121201101010121202202
432313000021221120213
5113212234014102211
62101033501125115
7133526402214020
oct16670011513047
93547641117682
101021131003431
113640719155a0
12145a9a85979b
13753a508aa76
14375cca1bc47
151b86693e53b
hexedc0269627

1021131003431 has 16 divisors (see below), whose sum is σ = 1274695833600. Its totient is φ = 794688096480.

The previous prime is 1021131003407. The next prime is 1021131003449. The reversal of 1021131003431 is 1343001311201.

It is a cyclic number.

It is not a de Polignac number, because 1021131003431 - 214 = 1021130987047 is a prime.

It is a super-2 number, since 2×10211310034312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021131003491) 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 15 ways as a sum of consecutive naturals, for example, 8258231 + ... + 8380968.

It is an arithmetic number, because the mean of its divisors is an integer number (79668489600).

Almost surely, 21021131003431 is an apocalyptic number.

1021131003431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1021131003431 is a deficient number, since it is larger than the sum of its proper divisors (253564830169).

1021131003431 is a wasteful number, since it uses less digits than its factorization.

1021131003431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16640014.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1021131003431 its reverse (1343001311201), we get a palindrome (2364132314632).

The spelling of 1021131003431 in words is "one trillion, twenty-one billion, one hundred thirty-one million, three thousand, four hundred thirty-one".

Divisors: 1 7 11 77 797 5579 8767 61369 16639199 116474393 183031189 1281218323 13261441603 92830091221 145875857633 1021131003431