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231310223104 = 2817596591367
BaseRepresentation
bin1101011101101100101…
…0011110011100000000
3211010001101222211002011
43113123022132130000
512242210404114404
6254132404502304
722466040312202
oct3273312363400
9733041884064
10231310223104
118a109655244
12389b53aa994
1318a73c8b4cc
14b2a454c772
15603c10c604
hex35db29e700

231310223104 has 144 divisors (see below), whose sum is σ = 498281414400. Its totient is φ = 106766385152.

The previous prime is 231310223099. The next prime is 231310223113. The reversal of 231310223104 is 401322013132.

231310223104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 169209429 + ... + 169210795.

It is an arithmetic number, because the mean of its divisors is an integer number (3460287600).

Almost surely, 2231310223104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231310223104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249140707200).

231310223104 is an abundant number, since it is smaller than the sum of its proper divisors (266971191296).

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

231310223104 is a wasteful number, since it uses less digits than its factorization.

231310223104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 231310223104 its reverse (401322013132), we get a palindrome (632632236236).

The spelling of 231310223104 in words is "two hundred thirty-one billion, three hundred ten million, two hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 17 32 34 59 64 68 118 128 136 236 256 272 472 544 659 944 1003 1088 1318 1367 1888 2006 2176 2636 2734 3776 4012 4352 5272 5468 7552 8024 10544 10936 11203 15104 16048 21088 21872 22406 23239 32096 38881 42176 43744 44812 46478 64192 77762 80653 84352 87488 89624 92956 128384 155524 161306 168704 174976 179248 185912 256768 311048 322612 349952 358496 371824 622096 645224 660977 716992 743648 900853 1244192 1290448 1321954 1371101 1433984 1487296 1801706 2488384 2580896 2643908 2742202 2867968 2974592 3603412 4976768 5161792 5287816 5484404 5949184 7206824 9953536 10323584 10575632 10968808 14413648 15314501 20647168 21151264 21937616 28827296 30629002 42302528 43875232 53150327 57654592 61258004 84605056 87750464 106300654 115309184 122516008 169210112 175500928 212601308 230618368 245032016 351001856 425202616 490064032 850405232 903555559 980128064 1700810464 1807111118 1960256128 3401620928 3614222236 3920512256 6803241856 7228444472 13606483712 14456888944 28913777888 57827555776 115655111552 231310223104