Search a number
-
+
230231003102331 = 37116783775923099
BaseRepresentation
bin110100010110010011010101…
…001001111111110001111011
31010012011212110110102021122020
4310112103111021333301323
5220134101043243233311
62133354355050525523
766331432612001340
oct6426232511776173
91105155413367566
10230231003102331
11673a4469161220
12219a43891368a3
139b608c8b6765a
1440bd3508147c7
151b93c8400bc06
hexd164d527fc7b

230231003102331 has 128 divisors (see below), whose sum is σ = 393181544448000. Its totient is φ = 116375935800960.

The previous prime is 230231003102311. The next prime is 230231003102341. The reversal of 230231003102331 is 133201300132032.

It is not a de Polignac number, because 230231003102331 - 26 = 230231003102267 is a prime.

It is a super-2 number, since 2×2302310031023312 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (230231003102311) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9967130020 + ... + 9967153118.

It is an arithmetic number, because the mean of its divisors is an integer number (3071730816000).

Almost surely, 2230231003102331 is an apocalyptic number.

230231003102331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

230231003102331 is a deficient number, since it is larger than the sum of its proper divisors (162950541345669).

230231003102331 is a wasteful number, since it uses less digits than its factorization.

230231003102331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31029.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 230231003102331 its reverse (133201300132032), we get a palindrome (363432303234363).

The spelling of 230231003102331 in words is "two hundred thirty trillion, two hundred thirty-one billion, three million, one hundred two thousand, three hundred thirty-one".

Divisors: 1 3 7 11 21 33 67 77 83 201 231 249 469 581 737 913 1407 1743 2211 2739 5159 5561 6391 7759 15477 16683 19173 23099 23277 38927 54313 61171 69297 85349 116781 161693 162939 183513 254089 256047 428197 485079 519853 597443 643997 762267 1284591 1547633 1559559 1778623 1792329 1917217 1931991 3638971 4507979 4642899 5335869 5718383 5751651 7083967 10833431 10916913 13420519 13523937 17023963 17155149 21089387 21251901 32500293 40028681 40261557 43147799 49587769 51071889 63268161 119167741 120086043 128453539 129443397 147625709 148763307 179225141 302034593 357503223 385360617 442877127 474625789 537675423 899174773 906103779 1254575987 1412988929 1423877367 1971476551 2697524319 3322380523 3763727961 4238966787 5914429653 9890922503 9967141569 12008084447 13800335857 14875686703 29672767509 36024253341 41401007571 44627060109 84056591129 104129806921 132088928917 163632553733 252169773387 312389420763 396266786751 490897661199 924622502419 996671009101 1145427876131 2773867507257 2990013027303 3436283628393 6976697063707 10963381100111 20930091191121 32890143300333 76743667700777 230231003102331