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1213552540431 = 327111751158067
BaseRepresentation
bin10001101010001101010…
…111100011101100001111
311022000101120012111102100
4101222031113203230033
5124340323422243211
62325255350330143
7153450651252510
oct21521527435417
94260346174370
101213552540431
11428734854330
12177240359953
138a58c2a92ba
1442a44404a07
15218798d3156
hex11a8d5e3b0f

1213552540431 has 24 divisors (see below), whose sum is σ = 2185445268864. Its totient is φ = 630416903760.

The previous prime is 1213552540411. The next prime is 1213552540463. The reversal of 1213552540431 is 1340452553121.

1213552540431 is a `hidden beast` number, since 1 + 2 + 1 + 35 + 52 + 540 + 4 + 31 = 666.

It is not a de Polignac number, because 1213552540431 - 223 = 1213544151823 is a prime.

It is a super-2 number, since 2×12135525404312 (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 (1213552540411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 875578341 + ... + 875579726.

It is an arithmetic number, because the mean of its divisors is an integer number (91060219536).

Almost surely, 21213552540431 is an apocalyptic number.

1213552540431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1213552540431 is a deficient number, since it is larger than the sum of its proper divisors (971892728433).

1213552540431 is a wasteful number, since it uses less digits than its factorization.

1213552540431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1751158091 (or 1751158088 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 1213552540431 in words is "one trillion, two hundred thirteen billion, five hundred fifty-two million, five hundred forty thousand, four hundred thirty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 1751158067 5253474201 12258106469 15760422603 19262738737 36774319407 57788216211 110322958221 134839171159 173364648633 404517513477 1213552540431