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1132426242311 = 721310317259701
BaseRepresentation
bin10000011110101001110…
…111010010100100000111
311000020222201202112212012
4100132221313102210013
5122023202104223221
62224121320244435
7144546402145100
oct20365167224407
94006881675765
101132426242311
113a7294100861
1216357b31071b
1382a30a167c0
143cb49c433a7
151e6cc5d665b
hex107a9dd2907

1132426242311 has 24 divisors (see below), whose sum is σ = 1432417188384. Its totient is φ = 887286657600.

The previous prime is 1132426242229. The next prime is 1132426242347.

1132426242311 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-1132426242311 is a prime.

It is a super-2 number, since 2×11324262423112 (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 (1132426242391) 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, 8564240 + ... + 8695461.

It is an arithmetic number, because the mean of its divisors is an integer number (59684049516).

Almost surely, 21132426242311 is an apocalyptic number.

1132426242311 is a deficient number, since it is larger than the sum of its proper divisors (299990946073).

1132426242311 is a wasteful number, since it uses less digits than its factorization.

1132426242311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17259831 (or 17259824 counting only the distinct ones).

The product of its digits is 13824, while the sum is 32.

The spelling of 1132426242311 in words is "one trillion, one hundred thirty-two billion, four hundred twenty-six million, two hundred forty-two thousand, three hundred eleven".

Divisors: 1 7 13 49 91 103 637 721 1339 5047 9373 65611 17259701 120817907 224376113 845725349 1570632791 1777749203 10994429537 12444244421 23110739639 87109710947 161775177473 1132426242311