Search a number
-
+
10131420342006 = 2327915745380689
BaseRepresentation
bin1001001101101110011110…
…1101011110011011110110
31022212112222002210100101200
42103123213231132123312
52311443122101421011
633314151003033330
72063654016666405
oct223334755363366
938775862710350
1010131420342006
113256790726117
12117765420b846
135865093817c2
142705130c363c
1512881c818856
hex936e7b5e6f6

10131420342006 has 48 divisors (see below), whose sum is σ = 22370864942400. Its totient is φ = 3313153269504.

The previous prime is 10131420341953. The next prime is 10131420342049. The reversal of 10131420342006 is 60024302413101.

It is a happy number.

10131420342006 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 1 + 420 + 34 + 200 + 6 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22467091 + ... + 22913598.

It is an arithmetic number, because the mean of its divisors is an integer number (466059686300).

Almost surely, 210131420342006 is an apocalyptic number.

10131420342006 is an abundant number, since it is smaller than the sum of its proper divisors (12239444600394).

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

10131420342006 is a wasteful number, since it uses less digits than its factorization.

10131420342006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45380933 (or 45380930 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 10131420342006 its reverse (60024302413101), we get a palindrome (70155722755107).

The spelling of 10131420342006 in words is "ten trillion, one hundred thirty-one billion, four hundred twenty million, three hundred forty-two thousand, six".

Divisors: 1 2 3 6 9 18 79 157 158 237 314 471 474 711 942 1413 1422 2826 12403 24806 37209 74418 111627 223254 45380689 90761378 136142067 272284134 408426201 816852402 3585074431 7124768173 7170148862 10755223293 14249536346 21374304519 21510446586 32265669879 42748609038 64122913557 64531339758 128245827114 562856685667 1125713371334 1688570057001 3377140114002 5065710171003 10131420342006