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323111030112312 = 233133765214292213
BaseRepresentation
bin100100101110111100010011…
…0001011000100000000111000
31120101001010001020102110202220
41021131320212023010000320
5314322322342202043222
63103111054050324040
7125026000352244321
oct11135704613040070
91511033036373686
10323111030112312
1193a53689013a32
12302a50ba289620
1310b3a315c66950
1459b092b8b9448
152754cd56aeb5c
hex125de262c4038

323111030112312 has 128 divisors (see below), whose sum is σ = 893562725079360. Its totient is φ = 96716928061440.

The previous prime is 323111030112307. The next prime is 323111030112317. The reversal of 323111030112312 is 213211030111323.

It is an interprime number because it is at equal distance from previous prime (323111030112307) and next prime (323111030112317).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323111030112317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73132318 + ... + 77424530.

Almost surely, 2323111030112312 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 323111030112312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446781362539680).

323111030112312 is an abundant number, since it is smaller than the sum of its proper divisors (570451694967048).

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

323111030112312 is a wasteful number, since it uses less digits than its factorization.

323111030112312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4298793 (or 4298789 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 323111030112312 its reverse (213211030111323), we get a palindrome (536322060223635).

The spelling of 323111030112312 in words is "three hundred twenty-three trillion, one hundred eleven billion, thirty million, one hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 37 39 52 74 78 104 111 148 156 222 296 312 444 481 888 962 1443 1924 2886 3848 5772 6521 11544 13042 19563 26084 39126 52168 78252 84773 156504 169546 241277 254319 339092 482554 508638 678184 723831 965108 1017276 1447662 1930216 2034552 2895324 3136601 4292213 5790648 6273202 8584426 9409803 12546404 12876639 17168852 18819606 25092808 25753278 34337704 37639212 51506556 55798769 75278424 103013112 111597538 158811881 167396307 223195076 317623762 334792614 446390152 476435643 635247524 669585228 952871286 1270495048 1339170456 1905742572 2064554453 3811485144 4129108906 6193663359 8258217812 12387326718 16516435624 24774653436 27989520973 49549306872 55979041946 83968562919 111958083892 167937125838 223916167784 335874251676 363863772649 671748503352 727727545298 1035612276001 1091591317947 1455455090596 2071224552002 2183182635894 2910910181192 3106836828003 4142449104004 4366365271788 6213673656006 8284898208008 8732730543576 12427347312012 13462959588013 24854694624024 26925919176026 40388878764039 53851838352052 80777757528078 107703676704104 161555515056156 323111030112312