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1142134200031 = 112317925219913
BaseRepresentation
bin10000100111101100100…
…000001101011011011111
311001012001021222220021211
4100213230200031123133
5122203042323400111
62232404511405251
7145342102342606
oct20475440153337
94035037886254
101142134200031
11400415a87110
1216542a523827
138391a061296
143d3cb2a4a3d
151ea99a08521
hex109ec80d6df

1142134200031 has 16 divisors (see below), whose sum is σ = 1307400341760. Its totient is φ = 987611753920.

The previous prime is 1142134200007. The next prime is 1142134200091. The reversal of 1142134200031 is 1300024312411.

It is a de Polignac number, because none of the positive numbers 2k-1142134200031 is a prime.

It is a super-2 number, since 2×11421342000312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1142134199975 and 1142134200011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142134200091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12564670 + ... + 12655243.

It is an arithmetic number, because the mean of its divisors is an integer number (81712521360).

Almost surely, 21142134200031 is an apocalyptic number.

1142134200031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1142134200031 is a deficient number, since it is larger than the sum of its proper divisors (165266141729).

1142134200031 is a wasteful number, since it uses less digits than its factorization.

1142134200031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25220126.

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

Adding to 1142134200031 its reverse (1300024312411), we get a palindrome (2442158512442).

The spelling of 1142134200031 in words is "one trillion, one hundred forty-two billion, one hundred thirty-four million, two hundred thousand, thirty-one".

Divisors: 1 11 23 179 253 1969 4117 45287 25219913 277419043 580057999 4514364427 6380637989 49658008697 103830381821 1142134200031