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1006521134531 = 117383105114369
BaseRepresentation
bin11101010010110010101…
…01011010110111000011
310120020000012002101100012
432221121111122313003
5112442323402301111
62050220041015135
7132501350324033
oct16513125326703
93506005071305
101006521134531
11358954a38880
121430a1a844ab
1373bb7309323
1436a0454d8c3
151b2adede48b
hexea5955adc3

1006521134531 has 32 divisors (see below), whose sum is σ = 1127625166080. Its totient is φ = 890701056000.

The previous prime is 1006521134461. The next prime is 1006521134543. The reversal of 1006521134531 is 1354311256001.

It is a cyclic number.

It is not a de Polignac number, because 1006521134531 - 222 = 1006516940227 is a prime.

It is a super-2 number, since 2×10065211345312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1006521134551) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70040915 + ... + 70055283.

It is an arithmetic number, because the mean of its divisors is an integer number (35238286440).

Almost surely, 21006521134531 is an apocalyptic number.

1006521134531 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1006521134531 is a deficient number, since it is larger than the sum of its proper divisors (121104031549).

1006521134531 is a wasteful number, since it uses less digits than its factorization.

1006521134531 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15587.

The product of its (nonzero) digits is 10800, while the sum is 32.

The spelling of 1006521134531 in words is "one trillion, six billion, five hundred twenty-one million, one hundred thirty-four thousand, five hundred thirty-one".

Divisors: 1 11 73 83 803 913 1051 6059 11561 14369 66649 76723 87233 158059 843953 959563 1048937 1192627 6368009 11538307 13118897 15101819 70048099 87061771 166120009 957679481 1102432787 1253450977 12126760657 13787960747 91501921321 1006521134531