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1001012340331 = 17587100311889
BaseRepresentation
bin11101001000100001111…
…11000010011001101011
310112200210021022122100101
432210100333002121223
5112400033124342311
62043505252250231
7132215006334403
oct16442077023153
93480707278311
101001012340331
113565884081a3
12142005010977
1373519c368a3
1436640a87803
151b08a583ec1
hexe910fc266b

1001012340331 has 8 divisors (see below), whose sum is σ = 1061701043760. Its totient is φ = 940524261888.

The previous prime is 1001012340329. The next prime is 1001012340359. The reversal of 1001012340331 is 1330432101001.

1001012340331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1001012340331 - 21 = 1001012340329 is a prime.

It is a super-2 number, since 2×10010123403312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001012340299 and 1001012340308.

It is not an unprimeable number, because it can be changed into a prime (1001012340301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50145966 + ... + 50165923.

It is an arithmetic number, because the mean of its divisors is an integer number (132712630470).

Almost surely, 21001012340331 is an apocalyptic number.

1001012340331 is a deficient number, since it is larger than the sum of its proper divisors (60688703429).

1001012340331 is a wasteful number, since it uses less digits than its factorization.

1001012340331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100312493.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 1001012340331 its reverse (1330432101001), we get a palindrome (2331444441332).

The spelling of 1001012340331 in words is "one trillion, one billion, twelve million, three hundred forty thousand, three hundred thirty-one".

Divisors: 1 17 587 9979 100311889 1705302113 58883078843 1001012340331