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21412333321412 = 221129101166146787
BaseRepresentation
bin1001101111001011100101…
…00001010111110011000100
32210210222222022202221111112
410313211302201113303010
510301304424312241122
6113312405022424152
74336663403126135
oct467456241276304
983728868687445
1021412333321412
116905a12a3a240
122499a2b132058
13bc4236118c17
1454051084dc8c
15271eb5b582e2
hex137972857cc4

21412333321412 has 48 divisors (see below), whose sum is σ = 42706370387520. Its totient is φ = 9304220016000.

The previous prime is 21412333321411. The next prime is 21412333321439.

21412333321412 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (21412333321411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82944518 + ... + 83202269.

It is an arithmetic number, because the mean of its divisors is an integer number (889716049740).

Almost surely, 221412333321412 is an apocalyptic number.

21412333321412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21412333321412 is a deficient number, since it is larger than the sum of its proper divisors (21294037066108).

21412333321412 is a wasteful number, since it uses less digits than its factorization.

21412333321412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166146932 (or 166146930 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

It can be divided in two parts, 2141233 and 3321412, that added together give a palindrome (5462645).

The spelling of 21412333321412 in words is "twenty-one trillion, four hundred twelve billion, three hundred thirty-three million, three hundred twenty-one thousand, four hundred twelve".

Divisors: 1 2 4 11 22 29 44 58 101 116 202 319 404 638 1111 1276 2222 2929 4444 5858 11716 32219 64438 128876 166146787 332293574 664587148 1827614657 3655229314 4818256823 7310458628 9636513646 16780825487 19273027292 33561650974 53000825053 67123301948 106001650106 184589080357 212003300212 369178160714 486643939123 738356321428 973287878246 1946575756492 5353083330353 10706166660706 21412333321412