Search a number
-
+
124130414224012 = 227312571289343159
BaseRepresentation
bin11100001110010101011101…
…001111101110001010001100
3121021111202021222211202000111
4130032111131033232022030
5112232223042020132022
61120000420340205404
735101061244620650
oct3416253517561214
9537452258752014
10124130414224012
113660845a8355a9
1211b09380699864
1354355a8b7b8a1
142291d308a2a60
15e53db49e7477
hex70e55d3ee28c

124130414224012 has 96 divisors (see below), whose sum is σ = 257292314173440. Its totient is φ = 51277172981760.

The previous prime is 124130414224007. The next prime is 124130414224013. The reversal of 124130414224012 is 210422414031421.

It is a super-2 number, since 2×1241304142240122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (124130414224013) 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, 2876097289 + ... + 2876140447.

It is an arithmetic number, because the mean of its divisors is an integer number (2680128272640).

Almost surely, 2124130414224012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124130414224012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128646157086720).

124130414224012 is an abundant number, since it is smaller than the sum of its proper divisors (133161899949428).

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

124130414224012 is a wasteful number, since it uses less digits than its factorization.

124130414224012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56351 (or 56349 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

Adding to 124130414224012 its reverse (210422414031421), we get a palindrome (334552828255433).

The spelling of 124130414224012 in words is "one hundred twenty-four trillion, one hundred thirty billion, four hundred fourteen million, two hundred twenty-four thousand, twelve".

Divisors: 1 2 4 7 14 28 31 62 124 217 257 434 514 868 1028 1799 3598 7196 7967 12893 15934 25786 31868 43159 51572 55769 86318 90251 111538 172636 180502 223076 302113 361004 399683 604226 799366 1208452 1337929 1598732 2675858 2797781 3313501 5351716 5595562 6627002 9365503 11091863 11191124 13254004 18731006 22183726 23194507 37462012 44367452 46389014 77643041 92778028 102718531 155286082 205437062 310572164 343847753 410874124 556448987 687695506 719029717 1112897974 1375391012 1438059434 2225795948 2406934271 2876118868 3895142909 4813868542 7790285818 9627737084 15580571636 17249918597 34499837194 68999674388 120749430179 143007389659 241498860358 286014779318 482997720716 572029558636 1001051727613 2002103455226 4004206910452 4433229079429 8866458158858 17732916317716 31032603556003 62065207112006 124130414224012