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201221113113 = 34471371931999
BaseRepresentation
bin1011101101100110110…
…1101000010100011001
3201020101110000122210000
42323121231220110121
511244100101104423
6232234550443213
720352306145356
oct2733155502431
9636343018700
10201221113113
1178379088599
1232bb8663509
1315c8a2c6607
149a4c34962d
15537a780843
hex2ed9b68519

201221113113 has 80 divisors (see below), whose sum is σ = 310983552000. Its totient is φ = 129594691584.

The previous prime is 201221113091. The next prime is 201221113123. The reversal of 201221113113 is 311311122102.

It is not a de Polignac number, because 201221113113 - 29 = 201221112601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (201221113123) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 100659888 + ... + 100661886.

It is an arithmetic number, because the mean of its divisors is an integer number (3887294400).

Almost surely, 2201221113113 is an apocalyptic number.

It is an amenable number.

201221113113 is a deficient number, since it is larger than the sum of its proper divisors (109762438887).

201221113113 is a wasteful number, since it uses less digits than its factorization.

201221113113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2388 (or 2379 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 201221113113 its reverse (311311122102), we get a palindrome (512532235215).

The spelling of 201221113113 in words is "two hundred one billion, two hundred twenty-one million, one hundred thirteen thousand, one hundred thirteen".

Divisors: 1 3 9 27 47 81 137 141 193 411 423 579 1233 1269 1737 1999 3699 3807 5211 5997 6439 9071 11097 15633 17991 19317 26441 27213 53973 57951 79323 81639 93953 161919 173853 237969 244917 273863 281859 385807 521559 713907 734751 821589 845577 1157421 1242727 2141721 2464767 2536731 3472263 3728181 7394301 7610193 10416789 11184543 12871561 18132929 22182903 31250367 33553629 38614683 52855559 54398787 100660887 115844049 158566677 163196361 347532147 475700031 489589083 1042596441 1427100093 1468767249 2484211273 4281300279 7452633819 22357901457 67073704371 201221113113