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12031022302101 = 3211259213787623
BaseRepresentation
bin1010111100010011000011…
…0011111000001110010101
31120121011011122000100000100
42233010300303320032111
53034104013202131401
641330550401404313
72351132643146655
oct257046063701625
946534148010010
1012031022302101
113919367494600
121423839039699
1369369c80006a
142d8439adc365
1515ce4b683b86
hexaf130cf8395

12031022302101 has 72 divisors (see below), whose sum is σ = 19434663218880. Its totient is φ = 7164507461760.

The previous prime is 12031022302027. The next prime is 12031022302111. The reversal of 12031022302101 is 10120322013021.

12031022302101 is a `hidden beast` number, since 1 + 20 + 310 + 2 + 230 + 2 + 101 = 666.

12031022302101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12031022302101 - 231 = 12028874818453 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12031022302111) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 137260576 + ... + 137348198.

It is an arithmetic number, because the mean of its divisors is an integer number (269925878040).

Almost surely, 212031022302101 is an apocalyptic number.

12031022302101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12031022302101 is a deficient number, since it is larger than the sum of its proper divisors (7403640916779).

12031022302101 is a wasteful number, since it uses less digits than its factorization.

12031022302101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89847 (or 89833 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12031022302101 its reverse (10120322013021), we get a palindrome (22151344315122).

The spelling of 12031022302101 in words is "twelve trillion, thirty-one billion, twenty-two million, three hundred two thousand, one hundred one".

Divisors: 1 3 9 11 33 59 99 121 177 363 531 649 1089 1947 2137 5841 6411 7139 19233 21417 23507 64251 70521 87623 126083 211563 258577 262869 378249 775731 788607 963853 1134747 1386913 2327193 2891559 4160739 5169757 8674677 10602383 12482217 15256043 15509271 31807149 45768129 46527813 56867327 95421447 137304387 170601981 187250351 511805943 561751053 625540597 1685253159 1876621791 2059753861 5629865373 6179261583 11047770709 18537784749 22657292471 33143312127 67971877413 99429936381 121525477799 203915632239 364576433397 1093729300191 1336780255789 4010340767367 12031022302101