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1331043041141 = 1173113116312613
BaseRepresentation
bin10011010111101000010…
…110001111111101110101
311201020122200022100001122
4103113220112033331311
5133301434004304031
62455250035433325
7165110326113452
oct23275026177565
94636580270048
101331043041141
114735461074a0
12195b6b755845
13986945b9538
14485cc346829
15249543d347b
hex135e858ff75

1331043041141 has 32 divisors (see below), whose sum is σ = 1486358681472. Its totient is φ = 1181790812160.

The previous prime is 1331043041113. The next prime is 1331043041191. The reversal of 1331043041141 is 1411403401331.

It is a cyclic number.

It is not a de Polignac number, because 1331043041141 - 238 = 1056165134197 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1331043041141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331043041101) 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, 105523151 + ... + 105535763.

It is an arithmetic number, because the mean of its divisors is an integer number (46448708796).

Almost surely, 21331043041141 is an apocalyptic number.

1331043041141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1331043041141 is a deficient number, since it is larger than the sum of its proper divisors (155315640331).

1331043041141 is a wasteful number, since it uses less digits than its factorization.

1331043041141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13973.

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 1331043041141 its reverse (1411403401331), we get a palindrome (2742446442472).

The spelling of 1331043041141 in words is "one trillion, three hundred thirty-one billion, forty-three million, forty-one thousand, one hundred forty-one".

Divisors: 1 11 73 113 803 1163 1243 8249 12613 12793 84899 90739 131419 138743 920749 933889 1425269 1445609 9593587 10128239 14668919 15677959 104044637 105529457 161358109 1070831087 1144491007 1657587847 11779141957 18233466317 121003912831 1331043041141