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214122221412 = 223116172629073
BaseRepresentation
bin1100011101101010101…
…1011100111101100100
3202110200112201212022220
43013122223130331210
512002010242041122
6242211050152340
721320101565121
oct3073253347544
9673615655286
10214122221412
1182899459170
12355b91226b0
13172650520c8
14a5138d1748
15588319b25c
hex31daadcf64

214122221412 has 48 divisors (see below), whose sum is σ = 545921957952. Its totient is φ = 64780334080.

The previous prime is 214122221393. The next prime is 214122221471.

214122221412 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1233093 + ... + 1395980.

It is an arithmetic number, because the mean of its divisors is an integer number (11373374124).

Almost surely, 2214122221412 is an apocalyptic number.

214122221412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

214122221412 is an abundant number, since it is smaller than the sum of its proper divisors (331799736540).

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

214122221412 is a wasteful number, since it uses less digits than its factorization.

214122221412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2629708 (or 2629706 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

It can be divided in two parts, 214122 and 221412, that added together give a palindrome (435534).

The spelling of 214122221412 in words is "two hundred fourteen billion, one hundred twenty-two million, two hundred twenty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 617 1234 1851 2468 3702 6787 7404 13574 20361 27148 40722 81444 2629073 5258146 7887219 10516292 15774438 28919803 31548876 57839606 86759409 115679212 173518818 347037636 1622138041 3244276082 4866414123 6488552164 9732828246 17843518451 19465656492 35687036902 53530555353 71374073804 107061110706 214122221412