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3481011282231 = 3271716336135519
BaseRepresentation
bin110010101001111100011…
…100001110000100110111
3110022210002122212011212100
4302221330130032010313
5424013102342012411
611223053212353143
7506331463460310
oct62517434160467
913283078764770
103481011282231
11112231a13449a
124827877757b3
131c33479605b2
14c06a627b607
15608382ba456
hex32a7c70e137

3481011282231 has 96 divisors (see below), whose sum is σ = 6124588554240. Its totient is φ = 1859802964992.

The previous prime is 3481011282211. The next prime is 3481011282239. The reversal of 3481011282231 is 1322821101843.

3481011282231 is a `hidden beast` number, since 3 + 48 + 101 + 1 + 282 + 231 = 666.

It is not a de Polignac number, because 3481011282231 - 26 = 3481011282167 is a prime.

It is a super-2 number, since 2×34810112822312 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3481011282239) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 630729490 + ... + 630735008.

It is an arithmetic number, because the mean of its divisors is an integer number (63797797440).

Almost surely, 23481011282231 is an apocalyptic number.

3481011282231 is a deficient number, since it is larger than the sum of its proper divisors (2643577272009).

3481011282231 is a wasteful number, since it uses less digits than its factorization.

3481011282231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9325 (or 9322 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 3481011282231 in words is "three trillion, four hundred eighty-one billion, eleven million, two hundred eighty-two thousand, two hundred thirty-one".

Divisors: 1 3 7 9 17 21 51 63 119 153 163 357 489 1071 1141 1467 2771 3423 3613 5519 8313 10269 10839 16557 19397 24939 25291 32517 38633 49671 58191 61421 75873 93823 115899 174573 184263 227619 281469 347697 429947 552789 588919 656761 844407 899597 1289841 1766757 1970283 2698791 3869523 4122433 5300271 5910849 6297179 8096373 10011623 12367299 15293149 18891537 19940147 30034869 37101897 45879447 56674611 59820441 70081361 90104607 107052043 137638341 139581029 179461323 210244083 321156129 338982499 418743087 630732249 963468387 1016947497 1256229261 2372877493 3050842491 3250243961 7118632479 9750731883 21355897437 22751707727 29252195649 55254147337 68255123181 165762442011 204765369543 386779031359 497287326033 1160337094077 3481011282231