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203120100001 = 713195312971709
BaseRepresentation
bin1011110100101011100…
…1101100001010100001
3201102021210022012001201
42331022321230022201
511311442221200001
6233151224401201
720450335235320
oct2751271541241
9642253265051
10203120100001
1179163001545
1233448616201
1316200863cb0
149b8c62c0b7
15543c33d501
hex2f4ae6c2a1

203120100001 has 64 divisors (see below), whose sum is σ = 268480396800. Its totient is φ = 149176774656.

The previous prime is 203120099993. The next prime is 203120100019. The reversal of 203120100001 is 100001021302.

203120100001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 203120100001 - 23 = 203120099993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (203120100091) 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, 118852335 + ... + 118854043.

It is an arithmetic number, because the mean of its divisors is an integer number (4195006200).

Almost surely, 2203120100001 is an apocalyptic number.

It is an amenable number.

203120100001 is a deficient number, since it is larger than the sum of its proper divisors (65360296799).

203120100001 is a wasteful number, since it uses less digits than its factorization.

203120100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3098.

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 203120100001 its reverse (100001021302), we get a palindrome (303121121303).

The spelling of 203120100001 in words is "two hundred three billion, one hundred twenty million, one hundred thousand, one".

Divisors: 1 7 13 19 53 91 133 247 371 689 1007 1297 1709 1729 4823 7049 9079 11963 13091 16861 22217 24643 32471 68741 90577 91637 118027 155519 172501 227297 320359 422123 481187 634039 893633 1177501 1306079 1720963 2216573 2242513 2954861 6255431 8242507 9142553 12046741 15516011 16979027 22372519 28815449 42114887 117478369 118853189 156607633 201708143 294804209 547493531 822348583 1527218797 2232089011 3832454717 10690531579 15624623077 29017157143 203120100001