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1010342114131 = 72312487726737
BaseRepresentation
bin11101011001111010001…
…01010011001101010011
310120120212110221020222011
432230331011103031103
5113023140040123011
62052051133523351
7132665135162200
oct16547505231523
93516773836864
101010342114131
1135a535869359
12143989643557
1374375b0a9bc
1436c87bc2ca7
151b4346a1621
hexeb3d153353

1010342114131 has 24 divisors (see below), whose sum is σ = 1213302846336. Its totient is φ = 838006767360.

The previous prime is 1010342114123. The next prime is 1010342114143. The reversal of 1010342114131 is 1314112430101.

It is not a de Polignac number, because 1010342114131 - 23 = 1010342114123 is a prime.

It is a super-2 number, since 2×10103421141312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1010342114731) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37774795 + ... + 37801531.

It is an arithmetic number, because the mean of its divisors is an integer number (50554285264).

Almost surely, 21010342114131 is an apocalyptic number.

1010342114131 is a deficient number, since it is larger than the sum of its proper divisors (202960732205).

1010342114131 is a wasteful number, since it uses less digits than its factorization.

1010342114131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51659 (or 51652 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 1010342114131 its reverse (1314112430101), we get a palindrome (2324454544232).

The spelling of 1010342114131 in words is "one trillion, ten billion, three hundred forty-two million, one hundred fourteen thousand, one hundred thirty-one".

Divisors: 1 7 31 49 217 1519 24877 26737 174139 187159 771187 828847 1218973 1310113 5398309 5801929 37788163 40613503 665136349 4655954443 20619226819 32591681101 144334587733 1010342114131