Search a number
-
+
13521033144201 = 31119210211111637
BaseRepresentation
bin1100010011000001110001…
…1000001010011110001001
31202212121011001021200011210
43010300130120022132021
53233012033441103301
644431251001043333
72563601543301132
oct304603430123611
952777131250153
1013521033144201
1143432687987a0
121624572786549
1377104955413b
1434a5c8828c89
15186aa6ab2ad6
hexc4c1c60a789

13521033144201 has 48 divisors (see below), whose sum is σ = 20776887730368. Its totient is φ = 7755662044800.

The previous prime is 13521033144197. The next prime is 13521033144209. The reversal of 13521033144201 is 10244133012531.

It is not a de Polignac number, because 13521033144201 - 22 = 13521033144197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13521033144209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11607355 + ... + 12718991.

It is an arithmetic number, because the mean of its divisors is an integer number (432851827716).

Almost surely, 213521033144201 is an apocalyptic number.

13521033144201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13521033144201 is a deficient number, since it is larger than the sum of its proper divisors (7255854586167).

13521033144201 is a wasteful number, since it uses less digits than its factorization.

13521033144201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112710 (or 1112691 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 13521033144201 its reverse (10244133012531), we get a palindrome (23765166156732).

The spelling of 13521033144201 in words is "thirteen trillion, five hundred twenty-one billion, thirty-three million, one hundred forty-four thousand, two hundred one".

Divisors: 1 3 11 19 33 57 209 361 627 1021 1083 3063 3971 11231 11913 19399 33693 58197 213389 368581 640167 1105743 1111637 3334911 4054391 12163173 12228007 21121103 36684021 63363309 232332133 401300957 696996399 1134981377 1203902871 3404944131 4414310527 12484795147 13242931581 21564646163 37454385441 64693938489 237211107793 409728277097 711633323379 1229184831291 4507011048067 13521033144201