Search a number
-
+
2135016807 = 371122832969
BaseRepresentation
bin111111101000001…
…1100010101100111
312111210102002110120
41333100130111213
513333031014212
6551504453023
7103623225540
oct17720342547
95453362416
102135016807
119a6185800
124b701a173
1328042b471
141637a34c7
15c768288c
hex7f41c567

2135016807 has 48 divisors (see below), whose sum is σ = 3589850880. Its totient is φ = 1104808320.

The previous prime is 2135016797. The next prime is 2135016827. The reversal of 2135016807 is 7086105312.

It is not a de Polignac number, because 2135016807 - 210 = 2135015783 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135016827) 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, 717619 + ... + 720587.

It is an arithmetic number, because the mean of its divisors is an integer number (74788560).

Almost surely, 22135016807 is an apocalyptic number.

2135016807 is a deficient number, since it is larger than the sum of its proper divisors (1454834073).

2135016807 is a wasteful number, since it uses less digits than its factorization.

2135016807 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3284 (or 3273 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 2135016807 is about 46206.2420783166. The cubic root of 2135016807 is about 1287.6577104322.

The spelling of 2135016807 in words is "two billion, one hundred thirty-five million, sixteen thousand, eight hundred seven".

Divisors: 1 3 7 11 21 33 77 121 231 283 363 847 849 1981 2541 2969 3113 5943 8907 9339 20783 21791 32659 34243 62349 65373 97977 102729 228613 239701 359249 685839 719103 840227 1077747 2514743 2520681 5881589 7544229 9242497 17644767 27727491 64697479 101667467 194092437 305002401 711672269 2135016807