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1331110311244 = 227259733157037
BaseRepresentation
bin10011010111101100010…
…110110111010101001100
311201020211100220000021221
4103113230112313111030
5133302103214424434
62455300441333124
7165112103650300
oct23275426672514
94636740800257
101331110311244
1147358008351a
12195b8a1971a4
13986a551062c
14485d7257d00
152495a2702b4
hex135ec5b754c

1331110311244 has 72 divisors (see below), whose sum is σ = 2759465454480. Its totient is φ = 560038114944.

The previous prime is 1331110311149. The next prime is 1331110311259. The reversal of 1331110311244 is 4421130111331.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8397894 + ... + 8554930.

It is an arithmetic number, because the mean of its divisors is an integer number (38325909090).

Almost surely, 21331110311244 is an apocalyptic number.

1331110311244 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331110311244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379732727240).

1331110311244 is an abundant number, since it is smaller than the sum of its proper divisors (1428355143236).

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

1331110311244 is a wasteful number, since it uses less digits than its factorization.

1331110311244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157847 (or 157838 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 1331110311244 its reverse (4421130111331), we get a palindrome (5752240422575).

The spelling of 1331110311244 in words is "one trillion, three hundred thirty-one billion, one hundred ten million, three hundred eleven thousand, two hundred forty-four".

Divisors: 1 2 4 7 14 28 49 59 98 118 196 236 413 733 826 1466 1652 2891 2932 5131 5782 10262 11564 20524 35917 43247 71834 86494 143668 157037 172988 302729 314074 605458 628148 1099259 1210916 2119103 2198518 4238206 4397036 7694813 8476412 9265183 15389626 18530366 30779252 37060732 64856281 115108121 129712562 230216242 259425124 453993967 460432484 805756847 907987934 1611513694 1815975868 3223027388 5640297929 6791379139 11280595858 13582758278 22561191716 27165516556 47539653973 95079307946 190158615892 332777577811 665555155622 1331110311244