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842130100131 = 3193113917319819
BaseRepresentation
bin11000100000100101101…
…11011000111110100011
32222111200111100120112120
430100102313120332203
5102244140301201011
61442511430355323
7114561524513205
oct14202267307643
92874614316476
10842130100131
112a516653a571
121172637bbb43
13615494284c8
142ca8b7b6775
1516d8bcd9a06
hexc412dd8fa3

842130100131 has 64 divisors (see below), whose sum is σ = 1236006912000. Its totient is φ = 508032051840.

The previous prime is 842130100129. The next prime is 842130100153. The reversal of 842130100131 is 131001031248.

842130100131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 842130100131 - 21 = 842130100129 is a prime.

It is a super-2 number, since 2×8421301001312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (842130100111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42481140 + ... + 42500958.

It is an arithmetic number, because the mean of its divisors is an integer number (19312608000).

Almost surely, 2842130100131 is an apocalyptic number.

842130100131 is a deficient number, since it is larger than the sum of its proper divisors (393876811869).

842130100131 is a wasteful number, since it uses less digits than its factorization.

842130100131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20184.

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 842130100131 its reverse (131001031248), we get a palindrome (973131131379).

The spelling of 842130100131 in words is "eight hundred forty-two billion, one hundred thirty million, one hundred thousand, one hundred thirty-one".

Divisors: 1 3 19 31 57 93 139 173 417 519 589 1767 2641 3287 4309 5363 7923 9861 12927 16089 19819 24047 59457 72141 81871 101897 245613 305691 376561 456893 614389 745457 1129683 1370679 1843167 2236371 2754841 3428687 8264523 10286061 11673391 14163683 35020173 42491049 52341979 65145053 85400071 106289297 157025937 195435159 256200213 318867891 476587493 1429762479 1622601349 2019496643 4867804047 6058489929 9055162367 14774212283 27165487101 44322636849 280710033377 842130100131