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2031123214341 = 3213291374369501
BaseRepresentation
bin11101100011101000011…
…000001011000000000101
321012011200110122221202100
4131203220120023000011
5231234220020324331
64153030215302313
7266513061314214
oct35435030130005
97164613587670
102031123214341
11713438115431
1228978b07a999
131196c3547630
147044215b07b
1537c7a525ae6
hex1d8e860b005

2031123214341 has 48 divisors (see below), whose sum is σ = 3292332366960. Its totient is φ = 1198012032000.

The previous prime is 2031123214339. The next prime is 2031123214343. The reversal of 2031123214341 is 1434123211302.

2031123214341 is a `hidden beast` number, since 2 + 0 + 311 + 2 + 3 + 2 + 1 + 4 + 341 = 666.

It is an interprime number because it is at equal distance from previous prime (2031123214339) and next prime (2031123214343).

It can be written as a sum of positive squares in 8 ways, for example, as 15492780900 + 2015630433441 = 124470^2 + 1419729^2 .

It is not a de Polignac number, because 2031123214341 - 21 = 2031123214339 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2031123214343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1719910 + ... + 2649591.

It is an arithmetic number, because the mean of its divisors is an integer number (68590257645).

Almost surely, 22031123214341 is an apocalyptic number.

It is an amenable number.

2031123214341 is a deficient number, since it is larger than the sum of its proper divisors (1261209152619).

2031123214341 is a wasteful number, since it uses less digits than its factorization.

2031123214341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4369686 (or 4369683 counting only the distinct ones).

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

Adding to 2031123214341 its reverse (1434123211302), we get a palindrome (3465246425643).

The spelling of 2031123214341 in words is "two trillion, thirty-one billion, one hundred twenty-three million, two hundred fourteen thousand, three hundred forty-one".

Divisors: 1 3 9 13 29 39 87 117 137 261 377 411 1131 1233 1781 3393 3973 5343 11919 16029 35757 51649 154947 464841 4369501 13108503 39325509 56803513 126715529 170410539 380146587 511231617 598621637 1140439761 1647301877 1795864911 4941905631 5387594733 7782081281 14825716893 17360027473 23346243843 52080082419 70038731529 156240247257 225680357149 677041071447 2031123214341