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230111232312 = 233137117875813
BaseRepresentation
bin1101011001001110110…
…0101100000100111000
3210222221211212202220210
43112103230230010320
512232231433413222
6253413414151120
722424241126213
oct3262354540470
9728854782823
10230111232312
1189653878765
123871b9524a0
131891275b4c0
14b1cd20277a
155ebbc20d0c
hex3593b2c138

230111232312 has 128 divisors (see below), whose sum is σ = 628715727360. Its totient is φ = 69755159040.

The previous prime is 230111232293. The next prime is 230111232409. The reversal of 230111232312 is 213232111032.

It is a super-4 number, since 4×2301112323124 (a number of 47 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39582718 + ... + 39588530.

It is an arithmetic number, because the mean of its divisors is an integer number (4911841620).

Almost surely, 2230111232312 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 230111232312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314357863680).

230111232312 is an abundant number, since it is smaller than the sum of its proper divisors (398604495048).

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

230111232312 is a wasteful number, since it uses less digits than its factorization.

230111232312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7693 (or 7689 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 230111232312 its reverse (213232111032), we get a palindrome (443343343344).

The spelling of 230111232312 in words is "two hundred thirty billion, one hundred eleven million, two hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 71 78 104 142 156 213 284 312 426 568 852 923 1704 1787 1846 2769 3574 3692 5361 5538 5813 7148 7384 10722 11076 11626 14296 17439 21444 22152 23231 23252 34878 42888 46462 46504 69693 69756 75569 92924 126877 139386 139512 151138 185848 226707 253754 278772 302276 380631 412723 453414 507508 557544 604552 761262 825446 906828 1015016 1238169 1522524 1649401 1650892 1813656 2476338 3045048 3298802 3301784 4948203 4952676 5365399 6597604 9896406 9905352 10387831 10730798 13195208 16096197 19792812 20775662 21461596 31163493 32192394 39585624 41551324 42923192 62326986 64384788 83102648 124653972 128769576 135041803 249307944 270083606 405125409 540167212 737536001 810250818 1080334424 1475072002 1620501636 2212608003 2950144004 3241003272 4425216006 5900288008 8850432012 9587968013 17700864024 19175936026 28763904039 38351872052 57527808078 76703744104 115055616156 230111232312