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201202001121 = 311416110124137
BaseRepresentation
bin1011101101100010010…
…0101110010011100001
3201020100010001200001110
42323120210232103201
511244030203013441
6232233025053533
720351654535312
oct2733044562341
9636303050043
10201202001121
1178369314460
1232bb21872a9
1315c86364444
149a499b2609
155378c57b16
hex2ed892e4e1

201202001121 has 64 divisors (see below), whose sum is σ = 307739803392. Its totient is φ = 115852800000.

The previous prime is 201202001107. The next prime is 201202001137. The reversal of 201202001121 is 121100202102.

201202001121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-201202001121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201202001097 and 201202001106.

It is not an unprimeable number, because it can be changed into a prime (201202001101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8323765 + ... + 8347901.

It is an arithmetic number, because the mean of its divisors is an integer number (4808434428).

Almost surely, 2201202001121 is an apocalyptic number.

It is an amenable number.

201202001121 is a deficient number, since it is larger than the sum of its proper divisors (106537802271).

201202001121 is a wasteful number, since it uses less digits than its factorization.

201202001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24354.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201202001121 its reverse (121100202102), we get a palindrome (322302203223).

The spelling of 201202001121 in words is "two hundred one billion, two hundred two million, one thousand, one hundred twenty-one".

Divisors: 1 3 11 33 41 61 101 123 183 303 451 671 1111 1353 2013 2501 3333 4141 6161 7503 12423 18483 24137 27511 45551 67771 72411 82533 136653 203313 252601 265507 757803 796521 989617 1472357 2437837 2778611 2968851 4417071 7313511 8335833 10885787 16195927 26816207 32657361 48587781 60366637 80448621 99951317 148708057 181099911 299853951 446124171 664033007 1099464487 1635788627 1992099021 3298393461 4907365881 6097030337 18291091011 67067333707 201202001121