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235145111005431 = 321123149693085247
BaseRepresentation
bin110101011101110011111100…
…110011111110100011110111
31010211120122122002101210121100
4311131303330303332203313
5221310104141404133211
62152040101145421143
7100346450025663024
oct6535637463764367
91124518562353540
10235145111005431
1168a19532a40030
1222458845a9a7b3
13a1291201aab33
14420d126aa054b
151c2b9e5d3d156
hexd5dcfccfe8f7

235145111005431 has 48 divisors (see below), whose sum is σ = 389236675276800. Its totient is φ = 135401133658560.

The previous prime is 235145111005361. The next prime is 235145111005439. The reversal of 235145111005431 is 134500111541532.

235145111005431 is a `hidden beast` number, since 2 + 3 + 5 + 1 + 4 + 5 + 1 + 1 + 100 + 543 + 1 = 666.

It is not a de Polignac number, because 235145111005431 - 27 = 235145111005303 is a prime.

It is a super-2 number, since 2×2351451110054312 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235145111005439) 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, 346203351 + ... + 346881896.

It is an arithmetic number, because the mean of its divisors is an integer number (8109097401600).

Almost surely, 2235145111005431 is an apocalyptic number.

235145111005431 is a deficient number, since it is larger than the sum of its proper divisors (154091564271369).

235145111005431 is a wasteful number, since it uses less digits than its factorization.

235145111005431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693085436 (or 693085433 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

Adding to 235145111005431 its reverse (134500111541532), we get a palindrome (369645222546963).

The spelling of 235145111005431 in words is "two hundred thirty-five trillion, one hundred forty-five billion, one hundred eleven million, five thousand, four hundred thirty-one".

Divisors: 1 3 9 11 23 33 69 99 149 207 253 447 759 1341 1639 2277 3427 4917 10281 14751 30843 37697 113091 339273 693085247 2079255741 6237767223 7623937717 15940960681 22871813151 47822882043 68615439453 103269701803 143468646129 175350567491 309809105409 526051702473 929427316227 1135966719833 1578155107419 2375203141469 3407900159499 7125609424407 10223700478497 21376828273221 26127234556159 78381703668477 235145111005431