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11431012332033 = 327239577573763
BaseRepresentation
bin1010011001010111110101…
…1011011111001000000001
31111110210102220101202011100
42212111331123133020001
52444241203124111113
640151200133405013
72256602066435460
oct246257533371001
944423386352140
1011431012332033
113707957501388
1213474a6a99769
1364bc2aa91808
142b739a3c09d7
1514c5309e6d73
hexa657d6df201

11431012332033 has 24 divisors (see below), whose sum is σ = 18871032742848. Its totient is φ = 6531733528992.

The previous prime is 11431012332029. The next prime is 11431012332037. The reversal of 11431012332033 is 33023321013411.

11431012332033 is a `hidden beast` number, since 1 + 1 + 4 + 310 + 1 + 23 + 320 + 3 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (11431012332029) and next prime (11431012332037).

It is not a de Polignac number, because 11431012332033 - 22 = 11431012332029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11431012331988 and 11431012332006.

It is not an unprimeable number, because it can be changed into a prime (11431012332037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2277591 + ... + 5296172.

It is an arithmetic number, because the mean of its divisors is an integer number (786293030952).

Almost surely, 211431012332033 is an apocalyptic number.

It is an amenable number.

11431012332033 is a deficient number, since it is larger than the sum of its proper divisors (7440020410815).

11431012332033 is a wasteful number, since it uses less digits than its factorization.

11431012332033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7597733 (or 7597730 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 11431012332033 its reverse (33023321013411), we get a palindrome (44454333345444).

The spelling of 11431012332033 in words is "eleven trillion, four hundred thirty-one billion, twelve million, three hundred thirty-two thousand, thirty-three".

Divisors: 1 3 7 9 21 63 23957 71871 167699 215613 503097 1509291 7573763 22721289 53016341 68163867 159049023 477147069 181444640191 544333920573 1270112481337 1633001761719 3810337444011 11431012332033