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131142311242443 = 33193160723835701
BaseRepresentation
bin11101110100010111110010…
…111000000110101011001011
3122012100002020011010212121000
4131310113302320012223023
5114142113423134224233
61142525540204150043
736423501504104124
oct3564276270065313
9565302204125530
10131142311242443
1138871161906986
1212860312838323
1358238891c3097
142455470b8b04b
1510264a48c3d13
hex7745f2e06acb

131142311242443 has 128 divisors (see below), whose sum is σ = 211581167206400. Its totient is φ = 79975230768000.

The previous prime is 131142311242427. The next prime is 131142311242493. The reversal of 131142311242443 is 344242113241131.

131142311242443 is a `hidden beast` number, since 1 + 3 + 1 + 142 + 31 + 1 + 2 + 42 + 443 = 666.

It is not a de Polignac number, because 131142311242443 - 24 = 131142311242427 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131142311242398 and 131142311242407.

It is not an unprimeable number, because it can be changed into a prime (131142311242493) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23003384493 + ... + 23003390193.

It is an arithmetic number, because the mean of its divisors is an integer number (1652977868800).

Almost surely, 2131142311242443 is an apocalyptic number.

131142311242443 is a deficient number, since it is larger than the sum of its proper divisors (80438855963957).

131142311242443 is a wasteful number, since it uses less digits than its factorization.

131142311242443 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8750 (or 8744 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

Adding to 131142311242443 its reverse (344242113241131), we get a palindrome (475384424483574).

The spelling of 131142311242443 in words is "one hundred thirty-one trillion, one hundred forty-two billion, three hundred eleven million, two hundred forty-two thousand, four hundred forty-three".

Divisors: 1 3 9 19 27 31 57 93 171 279 513 589 607 837 1767 1821 2383 5301 5463 5701 7149 11533 15903 16389 17103 18817 21447 34599 45277 51309 56451 64341 73873 103797 108319 135831 153927 169353 176731 221619 311391 324957 357523 407493 508059 530193 664857 974871 1072569 1222479 1403587 1446481 1590579 1994571 2924613 3217707 3357889 3460507 4210761 4339443 4771737 9653121 10073667 10381521 12632283 13018329 13585483 27483139 30221001 31144563 37896849 39054987 40756449 44840911 65749633 82449417 90663003 93433689 107275717 122269347 134522733 197248899 247348251 258124177 321827151 366808041 403568199 421149973 591746697 742044753 774372531 851977309 965481453 1210704597 1263449919 1775240091 2038238623 2323117593 2555931927 2896444359 3790349757 6114715869 6969352779 7667795781 8001849487 8246388181 11371049271 18344147607 23003387343 24005548461 24739164543 55032442821 72016645383 74217493629 156681375439 216049936149 222652480887 255638033611 470044126317 766914100833 1410132378951 2300742302499 4230397136853 4857122638609 6902226907497 14571367915827 43714103747481 131142311242443