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230101331232312 = 233219414102505549
BaseRepresentation
bin110100010100011010100100…
…000111000100011000111000
31010011201110202101220202201200
4310110122210013010120320
5220124440011243413222
62133215031532414200
766316162331203221
oct6424324407043070
91104643671822650
10230101331232312
1167354476829aa1
122198321a317360
139b51601c5c697
1440b6d6cb62248
151b906e4db1eac
hexd146a41c4638

230101331232312 has 96 divisors (see below), whose sum is σ = 671990409090000. Its totient is φ = 70891295869440.

The previous prime is 230101331232233. The next prime is 230101331232329. The reversal of 230101331232312 is 213232133101032.

230101331232312 is a `hidden beast` number, since 2 + 3 + 0 + 1 + 0 + 1 + 3 + 312 + 32 + 312 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2051196687 + ... + 2051308862.

Almost surely, 2230101331232312 is an apocalyptic number.

It is an amenable number.

230101331232312 is an abundant number, since it is smaller than the sum of its proper divisors (441889077857688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230101331232312 is a wasteful number, since it uses less digits than its factorization.

230101331232312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4102505621 (or 4102505614 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 230101331232312 its reverse (213232133101032), we get a palindrome (443333464333344).

The spelling of 230101331232312 in words is "two hundred thirty trillion, one hundred one billion, three hundred thirty-one million, two hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 41 57 72 76 82 114 123 152 164 171 228 246 328 342 369 456 492 684 738 779 984 1368 1476 1558 2337 2952 3116 4674 6232 7011 9348 14022 18696 28044 56088 4102505549 8205011098 12307516647 16410022196 24615033294 32820044392 36922549941 49230066588 73845099882 77947605431 98460133176 147690199764 155895210862 168202727509 233842816293 295380399528 311790421724 336405455018 467685632586 504608182527 623580843448 672810910036 701528448879 935371265172 1009216365054 1345621820072 1403056897758 1513824547581 1870742530344 2018432730108 2806113795516 3027649095162 3195851822671 4036865460216 5612227591032 6055298190324 6391703645342 9587555468013 12110596380648 12783407290684 19175110936026 25566814581368 28762666404039 38350221872052 57525332808078 76700443744104 115050665616156 230101331232312