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1131001012314 = 233127881187193
BaseRepresentation
bin10000011101010100111…
…010011110000001011010
311000010022101221100212000
4100131110322132001122
5122012242224343224
62223324044501430
7144466154661435
oct20352472360132
94003271840760
101131001012314
113a672264a428
12163241b4a876
1382864673244
143ca5284481c
151e64740b0c9
hex10754e9e05a

1131001012314 has 64 divisors (see below), whose sum is σ = 2536014458880. Its totient is φ = 373605281280.

The previous prime is 1131001012291. The next prime is 1131001012381. The reversal of 1131001012314 is 4132101001311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5948302 + ... + 6135494.

It is an arithmetic number, because the mean of its divisors is an integer number (39625225920).

Almost surely, 21131001012314 is an apocalyptic number.

1131001012314 is an abundant number, since it is smaller than the sum of its proper divisors (1405013446566).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1131001012314 is a wasteful number, since it uses less digits than its factorization.

1131001012314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188212 (or 188206 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1131001012314 its reverse (4132101001311), we get a palindrome (5263102013625).

The spelling of 1131001012314 in words is "one trillion, one hundred thirty-one billion, one million, twelve thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 127 254 381 762 881 1143 1762 2286 2643 3429 5286 6858 7929 15858 23787 47574 111887 187193 223774 335661 374386 561579 671322 1006983 1123158 1684737 2013966 3020949 3369474 5054211 6041898 10108422 23773511 47547022 71320533 142641066 164917033 213961599 329834066 427923198 494751099 641884797 989502198 1283769594 1484253297 2968506594 4452759891 8905519782 20944463191 41888926382 62833389573 125666779146 188500168719 377000337438 565500506157 1131001012314