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1331002313140 = 2251811453253049
BaseRepresentation
bin10011010111100101111…
…010111000100110110100
311201020112211200010202011
4103113211322320212310
5133301343043010030
62455242022454004
7165106322664103
oct23274572704664
94636484603664
101331002313140
11473525119995
12195b59b94304
1398689029526
14485c6b8403a
1524950a3ab2a
hex135e5eb89b4

1331002313140 has 48 divisors (see below), whose sum is σ = 2812492846800. Its totient is φ = 529093002240.

The previous prime is 1331002313119. The next prime is 1331002313141. The reversal of 1331002313140 is 413132001331.

It can be written as a sum of positive squares in 8 ways, for example, as 12083285776 + 1318919027364 = 109924^2 + 1148442^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331002313141) 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 15 ways as a sum of consecutive naturals, for example, 5133336 + ... + 5386384.

It is an arithmetic number, because the mean of its divisors is an integer number (58593600975).

Almost surely, 21331002313140 is an apocalyptic number.

1331002313140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331002313140 is an abundant number, since it is smaller than the sum of its proper divisors (1481490533660).

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

1331002313140 is a wasteful number, since it uses less digits than its factorization.

1331002313140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254692 (or 254690 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 1331002313140 its reverse (413132001331), we get a palindrome (1744134314471).

The spelling of 1331002313140 in words is "one trillion, three hundred thirty-one billion, two million, three hundred thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 181 362 724 905 1453 1810 2906 3620 5812 7265 14530 29060 253049 262993 506098 525986 1012196 1051972 1265245 1314965 2530490 2629930 5060980 5259860 45801869 91603738 183207476 229009345 367680197 458018690 735360394 916037380 1470720788 1838400985 3676801970 7353603940 66550115657 133100231314 266200462628 332750578285 665501156570 1331002313140