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1021303440133 = 171131297409909
BaseRepresentation
bin11101101110010100110…
…11011100001100000101
310121122011101121022110021
432313022123130030011
5113213112140041013
62101102541055141
7133533565001644
oct16671233341405
93548141538407
101021303440133
11364150191869
12145b285574b1
1375401a14212
14376078a735b
151b876b51a8d
hexedca6dc305

1021303440133 has 16 divisors (see below), whose sum is σ = 1091793645360. Its totient is φ = 951983456256.

The previous prime is 1021303440127. The next prime is 1021303440193. The reversal of 1021303440133 is 3310443031201.

It can be written as a sum of positive squares in 8 ways, for example, as 87747473284 + 933555966849 = 296222^2 + 966207^2 .

It is a cyclic number.

It is not a de Polignac number, because 1021303440133 - 233 = 1012713505541 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1021303440098 and 1021303440107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021303440193) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2286583 + ... + 2696491.

It is an arithmetic number, because the mean of its divisors is an integer number (68237102835).

Almost surely, 21021303440133 is an apocalyptic number.

It is an amenable number.

1021303440133 is a deficient number, since it is larger than the sum of its proper divisors (70490205227).

1021303440133 is a wasteful number, since it uses less digits than its factorization.

1021303440133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411336.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 1021303440133 its reverse (3310443031201), we get a palindrome (4331746471334).

The spelling of 1021303440133 in words is "one trillion, twenty-one billion, three hundred three million, four hundred forty thousand, one hundred thirty-three".

Divisors: 1 17 113 1297 1921 22049 146561 409909 2491537 6968453 46319717 531651973 787435189 9038083541 60076672949 1021303440133