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21214042011201 = 313472973078269
BaseRepresentation
bin1001101001011010001110…
…11100000011011001000001
32210010001011001200200202010
410310231013130003121001
510240032324223324301
6113041332451443133
74316443510606044
oct464550734033101
983101131620663
1021214042011201
116839908736a66
12246750b8b64a9
13bab624ac96c0
14534a9d676c5b
1526bc5c7025d6
hex134b47703641

21214042011201 has 96 divisors (see below), whose sum is σ = 31550183378560. Its totient is φ = 12602597289984.

The previous prime is 21214042011199. The next prime is 21214042011229. The reversal of 21214042011201 is 10211024041212.

It is not a de Polignac number, because 21214042011201 - 21 = 21214042011199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21214042011301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2565486495 + ... + 2565494763.

Almost surely, 221214042011201 is an apocalyptic number.

It is an amenable number.

21214042011201 is a deficient number, since it is larger than the sum of its proper divisors (10336141367359).

21214042011201 is a wasteful number, since it uses less digits than its factorization.

21214042011201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8783 (or 8736 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 21214042011201 its reverse (10211024041212), we get a palindrome (31425066052413).

The spelling of 21214042011201 in words is "twenty-one trillion, two hundred fourteen billion, forty-two million, eleven thousand, two hundred one".

Divisors: 1 3 13 39 47 97 141 291 307 611 921 1261 1833 2209 3783 3991 4559 6627 8269 11973 13677 14429 24807 28717 29779 43287 59267 86151 89337 107497 177801 187577 214273 322491 387127 388643 562731 642819 678163 802093 1161381 1165929 1399613 2034489 2406279 2538583 2785549 4198839 5052359 7615749 8356647 8816119 10427209 15157077 18194969 18266221 26448357 31281627 33001579 37698371 54584907 54798663 65781811 99004737 113095113 119313401 197345433 237460873 246242551 357940203 490078823 712382619 738727653 855163543 1470236469 1551074213 1771823437 2565490629 3201153163 4653222639 5315470311 5607729847 9603459489 11573399897 16823189541 23033704681 34720199691 69101114043 72900488011 150454198661 218701464033 451362595983 543949795159 1631849385477 7071347337067 21214042011201