Search a number
-
+
201501338031 = 32720871532551
BaseRepresentation
bin1011101110101001101…
…0100110100110101111
3201021002222022120002200
42323222122212212233
511300133320304111
6232322440552543
720362251053550
oct2735232464657
9637088276080
10201501338031
1178502285734
1233076482753
131600338c486
149a77652327
155395185256
hex2eea6a69af

201501338031 has 24 divisors (see below), whose sum is σ = 332796731904. Its totient is φ = 115088374800.

The previous prime is 201501337981. The next prime is 201501338099. The reversal of 201501338031 is 130833105102.

201501338031 is a `hidden beast` number, since 20 + 1 + 501 + 33 + 80 + 31 = 666.

It is not a de Polignac number, because 201501338031 - 27 = 201501337903 is a prime.

It is a super-2 number, since 2×2015013380312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201501337986 and 201501338004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201501338531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 634795 + ... + 897756.

It is an arithmetic number, because the mean of its divisors is an integer number (13866530496).

Almost surely, 2201501338031 is an apocalyptic number.

201501338031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

201501338031 is a deficient number, since it is larger than the sum of its proper divisors (131295393873).

201501338031 is a wasteful number, since it uses less digits than its factorization.

201501338031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534651 (or 1534648 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 201501338031 in words is "two hundred one billion, five hundred one million, three hundred thirty-eight thousand, thirty-one".

Divisors: 1 3 7 9 21 63 2087 6261 14609 18783 43827 131481 1532551 4597653 10727857 13792959 32183571 96550713 3198433937 9595301811 22389037559 28785905433 67167112677 201501338031