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1031331421329 = 311233134130761
BaseRepresentation
bin11110000001000000010…
…01001001110010010001
310122121001021000112120020
433000200021021302101
5113344131320440304
62105442003334053
7134340232303506
oct17004011116221
93577037015506
101031331421329
11368426778530
12147a66981329
137633c44a7c1
1437cb96314ad
151bc621da5d9
hexf020249c91

1031331421329 has 16 divisors (see below), whose sum is σ = 1506556718784. Its totient is φ = 622366726400.

The previous prime is 1031331421327. The next prime is 1031331421333. The reversal of 1031331421329 is 9231241331301.

It is a cyclic number.

It is not a de Polignac number, because 1031331421329 - 21 = 1031331421327 is a prime.

It is a super-2 number, since 2×10313314213292 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 1031331421329.

It is not an unprimeable number, because it can be changed into a prime (1031331421321) 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, 67057692 + ... + 67073069.

It is an arithmetic number, because the mean of its divisors is an integer number (94159794924).

Almost surely, 21031331421329 is an apocalyptic number.

It is an amenable number.

1031331421329 is a deficient number, since it is larger than the sum of its proper divisors (475225297455).

1031331421329 is a wasteful number, since it uses less digits than its factorization.

1031331421329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134131008.

The product of its (nonzero) digits is 11664, while the sum is 33.

It can be divided in two parts, 1031331 and 421329, that added together give a triangular number (1452660 = T1704).

The spelling of 1031331421329 in words is "one trillion, thirty-one billion, three hundred thirty-one million, four hundred twenty-one thousand, three hundred twenty-nine".

Divisors: 1 3 11 33 233 699 2563 7689 134130761 402392283 1475438371 4426315113 31252467313 93757401939 343777140443 1031331421329