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321311030112 = 253219471249343
BaseRepresentation
bin1001010110011111010…
…00010011101101100000
31010201100201101112012200
410223033220103231200
520231021110430422
6403335214253200
732133246456432
oct4531750235540
91121321345180
10321311030112
111142a3777686
12523324b7200
13243b8003bb7
14117a15ba652
1585585982ac
hex4acfa13b60

321311030112 has 144 divisors (see below), whose sum is σ = 982284226560. Its totient is φ = 99307696896.

The previous prime is 321311030107. The next prime is 321311030119. The reversal of 321311030112 is 211030113123.

321311030112 is a `hidden beast` number, since 321 + 31 + 1 + 0 + 301 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321311030119) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 367488 + ... + 881855.

It is an arithmetic number, because the mean of its divisors is an integer number (6821418240).

Almost surely, 2321311030112 is an apocalyptic number.

321311030112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

321311030112 is an abundant number, since it is smaller than the sum of its proper divisors (660973196448).

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

321311030112 is a wasteful number, since it uses less digits than its factorization.

321311030112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249425 (or 1249414 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 321311030112 its reverse (211030113123), we get a palindrome (532341143235).

The spelling of 321311030112 in words is "three hundred twenty-one billion, three hundred eleven million, thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 47 48 57 72 76 94 96 114 141 144 152 171 188 228 282 288 304 342 376 423 456 564 608 684 752 846 893 912 1128 1368 1504 1692 1786 1824 2256 2679 2736 3384 3572 4512 5358 5472 6768 7144 8037 10716 13536 14288 16074 21432 28576 32148 42864 64296 85728 128592 257184 1249343 2498686 3748029 4997372 7496058 9994744 11244087 14992116 19989488 22488174 23737517 29984232 39978976 44976348 47475034 58719121 59968464 71212551 89952696 94950068 117438242 119936928 142425102 176157363 179905392 189900136 213637653 234876484 284850204 352314726 359810784 379800272 427275306 469752968 528472089 569700408 704629452 759600544 854550612 939505936 1056944178 1115663299 1139400816 1409258904 1709101224 1879011872 2113888356 2231326598 2278801632 2818517808 3346989897 3418202448 4227776712 4462653196 5637035616 6693979794 6836404896 8455553424 8925306392 10040969691 13387959588 16911106848 17850612784 20081939382 26775919176 35701225568 40163878764 53551838352 80327757528 107103676704 160655515056 321311030112