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201914523801 = 32101214832
BaseRepresentation
bin1011110000001100001…
…0110010000010011001
3201022011202210120102100
42330003002302002121
511302010104230201
6232431440554013
720405426064024
oct2740302620231
9638152716370
10201914523801
11786a4537281
1233170922909
131606ab696b3
149ab648a1bb
1553bb5a0886
hex2f030b2099

201914523801 has 27 divisors (see below), whose sum is σ = 294769334847. Its totient is φ = 133187043600.

The previous prime is 201914523763. The next prime is 201914523859. The reversal of 201914523801 is 108325419102.

The square root of 201914523801 is 449349.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 193997083401 + 7917440400 = 440451^2 + 88980^2 .

It is not a de Polignac number, because 201914523801 - 215 = 201914491033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (201914523001) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 136152006 + ... + 136153488.

Almost surely, 2201914523801 is an apocalyptic number.

201914523801 is the 449349-th square number.

201914523801 is the 224675-th centered octagonal number.

It is an amenable number.

201914523801 is a deficient number, since it is larger than the sum of its proper divisors (92854811046).

201914523801 is an frugal number, since it uses more digits than its factorization.

201914523801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3174 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Multiplying 201914523801 by its sum of digits (36), we get a square (7268922856836 = 26960942).

The spelling of 201914523801 in words is "two hundred one billion, nine hundred fourteen million, five hundred twenty-three thousand, eight hundred one".

Divisors: 1 3 9 101 303 909 1483 4449 10201 13347 30603 91809 149783 449349 1348047 2199289 6597867 15128083 19793601 45384249 136152747 222128189 666384567 1999153701 22434947089 67304841267 201914523801