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21332302221114 = 23223473823286771
BaseRepresentation
bin1001101100110110100000…
…10010111100111100111010
32210112100101211010210220200
410312123100102330330322
510244002023332033424
6113211531354303030
74331131223034123
oct466332022747472
983470354123820
1021332302221114
116884a84521035
122486414a27a76
13bb9820715381
1453a6bb8db04a
1526ed7ea948c9
hex1366d04bcf3a

21332302221114 has 96 divisors (see below), whose sum is σ = 49268769398784. Its totient is φ = 6655124155680.

The previous prime is 21332302221073. The next prime is 21332302221121. The reversal of 21332302221114 is 41112220323312.

21332302221114 is a `hidden beast` number, since 2 + 1 + 3 + 323 + 0 + 2 + 221 + 114 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74244549 + ... + 74531319.

It is an arithmetic number, because the mean of its divisors is an integer number (513216347904).

Almost surely, 221332302221114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21332302221114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24634384699392).

21332302221114 is an abundant number, since it is smaller than the sum of its proper divisors (27936467177670).

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

21332302221114 is a wasteful number, since it uses less digits than its factorization.

21332302221114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290672 (or 290669 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 21332302221114 its reverse (41112220323312), we get a palindrome (62444522544426).

The spelling of 21332302221114 in words is "twenty-one trillion, three hundred thirty-two billion, three hundred two million, two hundred twenty-one thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 23 46 47 69 94 138 141 207 282 414 423 846 1081 2162 3243 3823 6486 7646 9729 11469 19458 22938 34407 68814 87929 175858 179681 263787 286771 359362 527574 539043 573542 791361 860313 1078086 1582722 1617129 1720626 2580939 3234258 4132663 5161878 6595733 8265326 12397989 13191466 13478237 19787199 24795978 26956474 37193967 39574398 40434711 59361597 74387934 80869422 118723194 121304133 242608266 309999451 619998902 929998353 1096325533 1859996706 2192651066 2789995059 3288976599 5579990118 6577953198 9866929797 19733859594 25215487259 50430974518 51527300051 75646461777 103054600102 151292923554 154581900153 226939385331 309163800306 453878770662 463745700459 927491400918 1185127901173 2370255802346 3555383703519 7110767407038 10666151110557 21332302221114