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12102321231 = 32711133736307
BaseRepresentation
bin10110100010101101…
…01100010001001111
31011020102122121200200
423101112230101033
5144241143234411
65320522424543
7605623014240
oct132126542117
934212577620
1012102321231
115150499080
122419062153
1311ab40ba30
1482b454cc7
154ac732e56
hex2d15ac44f

12102321231 has 96 divisors (see below), whose sum is σ = 24106188288. Its totient is φ = 5646309120.

The previous prime is 12102321221. The next prime is 12102321271. The reversal of 12102321231 is 13212320121.

12102321231 is a `hidden beast` number, since 12 + 102 + 321 + 231 = 666.

12102321231 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 12102321231 - 27 = 12102321103 is a prime.

It is a super-2 number, since 2×121023212312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102321211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 315180 + ... + 351486.

It is an arithmetic number, because the mean of its divisors is an integer number (251106128).

Almost surely, 212102321231 is an apocalyptic number.

12102321231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12102321231 is a deficient number, since it is larger than the sum of its proper divisors (12003867057).

12102321231 is a wasteful number, since it uses less digits than its factorization.

12102321231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36381 (or 36378 counting only the distinct ones).

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

Adding to 12102321231 its reverse (13212320121), we get a palindrome (25314641352).

It can be divided in two parts, 12102 and 321231, that added together give a palindrome (333333).

The spelling of 12102321231 in words is "twelve billion, one hundred two million, three hundred twenty-one thousand, two hundred thirty-one".

Divisors: 1 3 7 9 11 13 21 33 37 39 63 77 91 99 111 117 143 231 259 273 333 407 429 481 693 777 819 1001 1221 1287 1443 2331 2849 3003 3367 3663 4329 5291 8547 9009 10101 15873 25641 30303 36307 37037 47619 108921 111111 254149 326763 333333 399377 471991 762447 1198131 1343359 1415973 2287341 2795639 3303937 3594393 4030077 4247919 5191901 8386917 9403513 9911811 12090231 14776949 15575703 17463667 25160751 28210539 29735433 36343307 44330847 46727109 52391001 84631617 103438643 109029921 122245669 132992541 157173003 192100337 310315929 327089763 366737007 576301011 930947787 1100211021 1344702359 1728903033 4034107077 12102321231