Search a number
-
+
130110004142131 = 13194321158058101
BaseRepresentation
bin11101100101010110011000…
…100101000010000000110011
3122001200101122220012201002011
4131211112120211002000303
5114023210242030022011
61140415413304303351
736256065123403216
oct3545263045020063
9561611586181064
10130110004142131
1138503385417392
1212714235171b57
13577a4228a2550
14241b501b3d77d
1510096d6c0d621
hex765598942033

130110004142131 has 32 divisors (see below), whose sum is σ = 151638473127680. Its totient is φ = 110607647472000.

The previous prime is 130110004142071. The next prime is 130110004142201. The reversal of 130110004142131 is 131241400011031.

It is a cyclic number.

It is not a de Polignac number, because 130110004142131 - 225 = 130109970587699 is a prime.

It is a super-3 number, since 3×1301100041421313 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130110004842131) 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, 26788020 + ... + 31270081.

It is an arithmetic number, because the mean of its divisors is an integer number (4738702285240).

Almost surely, 2130110004142131 is an apocalyptic number.

130110004142131 is a deficient number, since it is larger than the sum of its proper divisors (21528468985549).

130110004142131 is a wasteful number, since it uses less digits than its factorization.

130110004142131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58058387.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 130110004142131 its reverse (131241400011031), we get a palindrome (261351404153162).

The spelling of 130110004142131 in words is "one hundred thirty trillion, one hundred ten billion, four million, one hundred forty-two thousand, one hundred thirty-one".

Divisors: 1 13 19 43 211 247 559 817 2743 4009 9073 10621 52117 117949 172387 2241031 58058101 754755313 1103103919 2496498343 12250259311 14340350947 32454478459 47433468517 159253371043 232754926909 526761150373 616635090721 3025814049817 6847894954849 10008461857087 130110004142131