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2135205006 = 2311137236143
BaseRepresentation
bin111111101000100…
…1010010010001110
312111210202122121220
41333101022102032
513333103030011
6551512504210
7103624641324
oct17721122216
95453678556
102135205006
119a62a4140
124b70ab066
1328049601c
14163811d14
15c76bd506
hex7f44a48e

2135205006 has 32 divisors (see below), whose sum is σ = 4692653568. Its totient is φ = 642306240.

The previous prime is 2135205001. The next prime is 2135205013. The reversal of 2135205006 is 6005025312.

2135205006 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135205001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109030 + ... + 127113.

It is an arithmetic number, because the mean of its divisors is an integer number (146645424).

Almost surely, 22135205006 is an apocalyptic number.

2135205006 is an abundant number, since it is smaller than the sum of its proper divisors (2557448562).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2135205006 is a wasteful number, since it uses less digits than its factorization.

2135205006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236296.

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 2135205006 is about 46208.2785440012. The cubic root of 2135205006 is about 1287.6955444471.

The spelling of 2135205006 in words is "two billion, one hundred thirty-five million, two hundred five thousand, six".

Divisors: 1 2 3 6 11 22 33 66 137 274 411 822 1507 3014 4521 9042 236143 472286 708429 1416858 2597573 5195146 7792719 15585438 32351591 64703182 97054773 194109546 355867501 711735002 1067602503 2135205006