Search a number
-
+
231141034156031 = 172329113313576341
BaseRepresentation
bin110100100011100010110111…
…001110111101111111111111
31010022101212102002101200122222
4310203202313032331333333
5220244003314220443111
62135332420350355555
766454250205221366
oct6443426716757777
91108355362350588
10231141034156031
11677153a8a4613a
1221b108207bbbbb
139bc867689469c
1441114001247dd
151bac796ecc7db
hexd238b73bdfff

231141034156031 has 64 divisors (see below), whose sum is σ = 267374367486720. Its totient is φ = 198496143605760.

The previous prime is 231141034156013. The next prime is 231141034156033. The reversal of 231141034156031 is 130651430141132.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 231141034156031 - 214 = 231141034139647 is a prime.

It is a super-3 number, since 3×2311410341560313 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 231141034155982 and 231141034156000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231141034156033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 400760921 + ... + 401337261.

It is an arithmetic number, because the mean of its divisors is an integer number (4177724491980).

Almost surely, 2231141034156031 is an apocalyptic number.

231141034156031 is a deficient number, since it is larger than the sum of its proper divisors (36233333330689).

231141034156031 is a wasteful number, since it uses less digits than its factorization.

231141034156031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576836.

The product of its (nonzero) digits is 25920, while the sum is 35.

Adding to 231141034156031 its reverse (130651430141132), we get a palindrome (361792464297163).

The spelling of 231141034156031 in words is "two hundred thirty-one trillion, one hundred forty-one billion, thirty-four million, one hundred fifty-six thousand, thirty-one".

Divisors: 1 17 23 29 113 313 391 493 667 1921 2599 3277 5321 7199 9077 11339 35369 44183 55709 75371 122383 154309 208771 576341 601273 813487 1025701 1281307 3549107 9797797 13255843 13829279 16713889 17436917 23591123 65126533 180394733 225349331 284136113 384419447 401049091 1107151061 1497910259 1888669457 3066710461 4149078859 5231447257 6535130599 20384604829 25464474403 32107380769 43439397511 70534340603 88934603369 120323286911 346538282093 468845911067 591153540041 738469757687 2045495877487 7970380488139 10049610180697 13596531420943 231141034156031