Search a number
-
+
131000142123004 = 22711981294334347
BaseRepresentation
bin11101110010010011011000…
…111011111100111111111100
3122011211111021010212022100211
4131302103120323330333330
5114132301242340414004
61142340345014402204
736410306433402340
oct3562233073747774
9564744233768324
10131000142123004
1138816937075250
1212838856660364
13581335012247b
14244c62543d620
151022933535504
hex7724d8efcffc

131000142123004 has 48 divisors (see below), whose sum is σ = 285821470529280. Its totient is φ = 51038484514560.

The previous prime is 131000142122963. The next prime is 131000142123031. The reversal of 131000142123004 is 400321241000131.

It is a super-2 number, since 2×1310001421230042 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28056559 + ... + 32390905.

It is an arithmetic number, because the mean of its divisors is an integer number (5954613969360).

Almost surely, 2131000142123004 is an apocalyptic number.

131000142123004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131000142123004 is an abundant number, since it is smaller than the sum of its proper divisors (154821328406276).

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

131000142123004 is a wasteful number, since it uses less digits than its factorization.

131000142123004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4432498 (or 4432496 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 131000142123004 its reverse (400321241000131), we get a palindrome (531321383123135).

The spelling of 131000142123004 in words is "one hundred thirty-one trillion, one hundred forty-two million, one hundred twenty-three thousand, four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 98129 196258 392516 686903 1079419 1373806 2158838 2747612 4317676 4334347 7555933 8668694 15111866 17337388 30223732 30340429 47677817 60680858 95355634 121361716 190711268 333744719 667489438 1334978876 425325136763 850650273526 1701300547052 2977275957341 4678576504393 5954551914682 9357153008786 11909103829364 18714306017572 32750035530751 65500071061502 131000142123004