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102212022021201 = 321922719991317247
BaseRepresentation
bin10111001111011000010111…
…010000111010110001010001
3111101220101002120000000111200
4113033120113100322301101
5101344120210114134301
61001215315451301413
730346401122115651
oct2717302720726121
9441811076000450
10102212022021201
112a627969850674
12b56945b44a869
1345057245a13a1
141b35134294361
15bc3b81391c86
hex5cf61743ac51

102212022021201 has 48 divisors (see below), whose sum is σ = 156172922880000. Its totient is φ = 64238378055264.

The previous prime is 102212022021169. The next prime is 102212022021223. The reversal of 102212022021201 is 102120220212201.

It is a happy number.

102212022021201 is a `hidden beast` number, since 1 + 0 + 221 + 2 + 0 + 220 + 21 + 201 = 666.

It is not a de Polignac number, because 102212022021201 - 25 = 102212022021169 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102212022021001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76936560 + ... + 78253806.

It is an arithmetic number, because the mean of its divisors is an integer number (3253602560000).

Almost surely, 2102212022021201 is an apocalyptic number.

It is an amenable number.

102212022021201 is a deficient number, since it is larger than the sum of its proper divisors (53960900858799).

102212022021201 is a wasteful number, since it uses less digits than its factorization.

102212022021201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319498 (or 1319495 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102212022021201 its reverse (102120220212201), we get a palindrome (204332242233402).

The spelling of 102212022021201 in words is "one hundred two trillion, two hundred twelve billion, twenty-two million, twenty-one thousand, two hundred one".

Divisors: 1 3 9 19 57 171 227 681 1999 2043 4313 5997 12939 17991 37981 38817 113943 341829 453773 1317247 1361319 3951741 4083957 8621687 11855223 25027693 25865061 75083079 77595183 225249237 299015069 897045207 2633176753 2691135621 5681286311 7899530259 17043858933 23698590777 50030358307 51131576799 150091074921 450273224763 597731122931 1793193368793 5379580106379 11356891335689 34070674007067 102212022021201