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21441400331 = 13172343263373
BaseRepresentation
bin10011111110000000…
…011100111000001011
32001100021202222210012
4103332000130320023
5322402444302311
613503335342135
71356223616141
oct237600347013
961307688705
1021441400331
11910312546a
1241a482194b
1320391c0440
1410758d3591
1585758c78b
hex4fe01ce0b

21441400331 has 64 divisors (see below), whose sum is σ = 26274834432. Its totient is φ = 17290893312.

The previous prime is 21441400283. The next prime is 21441400339. The reversal of 21441400331 is 13300414412.

It is a cyclic number.

It is not a de Polignac number, because 21441400331 - 214 = 21441383947 is a prime.

It is a super-2 number, since 2×214414003312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 21441400297 and 21441400306.

It is not an unprimeable number, because it can be changed into a prime (21441400339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57483461 + ... + 57483833.

It is an arithmetic number, because the mean of its divisors is an integer number (410544288).

Almost surely, 221441400331 is an apocalyptic number.

21441400331 is a deficient number, since it is larger than the sum of its proper divisors (4833434101).

21441400331 is a wasteful number, since it uses less digits than its factorization.

21441400331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 21441400331 its reverse (13300414412), we get a palindrome (34741814743).

The spelling of 21441400331 in words is "twenty-one billion, four hundred forty-one million, four hundred thousand, three hundred thirty-one".

Divisors: 1 13 17 23 43 221 263 299 373 391 559 731 989 3419 4471 4849 5083 6049 6341 8579 9503 11309 12857 16039 16813 58123 78637 82433 98099 102833 111527 145843 147017 192253 208507 218569 260107 272663 368897 1275287 1336829 1667683 1895959 2256277 2499289 3381391 3544619 4218257 4421819 4795661 6271249 21679879 29331601 38356709 54837341 57483647 71710369 81526237 97019911 498637217 932234797 1261258843 1649338487 21441400331