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2121332412444 = 2237433100957803
BaseRepresentation
bin11110110111101001010…
…000111101000000011100
321111210112022012000201120
4132313221100331000130
5234223442044144234
64302305431410540
7306155410664610
oct36675120750034
97453468160646
102121332412444
11748719931113
122a3165b23a50
1312506b7c476b
147495cb53340
153a2a9e27049
hex1ede943d01c

2121332412444 has 96 divisors (see below), whose sum is σ = 5675668400640. Its totient is φ = 604085465088.

The previous prime is 2121332412439. The next prime is 2121332412449. The reversal of 2121332412444 is 4442142331212.

It is an interprime number because it is at equal distance from previous prime (2121332412439) and next prime (2121332412449).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121332412449) 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, 36670447 + ... + 36728249.

It is an arithmetic number, because the mean of its divisors is an integer number (59121545840).

Almost surely, 22121332412444 is an apocalyptic number.

It is an amenable number.

2121332412444 is an abundant number, since it is smaller than the sum of its proper divisors (3554335988196).

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

2121332412444 is a wasteful number, since it uses less digits than its factorization.

2121332412444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59259 (or 59257 counting only the distinct ones).

The product of its digits is 36864, while the sum is 33.

Adding to 2121332412444 its reverse (4442142331212), we get a palindrome (6563474743656).

The spelling of 2121332412444 in words is "two trillion, one hundred twenty-one billion, three hundred thirty-two million, four hundred twelve thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 433 866 1009 1299 1732 2018 2598 3027 3031 4036 5196 6054 6062 7063 9093 12108 12124 14126 18186 21189 28252 36372 42378 57803 84756 115606 173409 231212 346818 404621 436897 693636 809242 873794 1213863 1310691 1618484 1747588 2427726 2621382 3058279 4855452 5242764 6116558 9174837 12233116 18349674 25028699 36699348 50057398 58323227 75086097 100114796 116646454 150172194 174969681 175200893 233292908 300344388 349939362 350401786 408262589 525602679 699878724 700803572 816525178 1051205358 1224787767 1633050356 2102410716 2449575534 4899151068 25253957291 50507914582 75761871873 101015829164 151523743746 176777701037 303047487492 353555402074 530333103111 707110804148 1060666206222 2121332412444