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2010220233312 = 25337710979609
BaseRepresentation
bin11101010000001010011…
…101101000001001100000
321010011201201000111101210
4131100022131220021200
5230413412334431222
64135252112030120
7265143063024444
oct35201235501140
97104651014353
102010220233312
11705590a083a5
12285716832340
13117741a714c5
146d41bd80824
153745538ed0c
hex1d40a768260

2010220233312 has 96 divisors (see below), whose sum is σ = 5420275509600. Its totient is φ = 651863420928.

The previous prime is 2010220233311. The next prime is 2010220233389. The reversal of 2010220233312 is 2133320220102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010220233311) 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, 25211364 + ... + 25290972.

It is an arithmetic number, because the mean of its divisors is an integer number (56461203225).

Almost surely, 22010220233312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010220233312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2710137754800).

2010220233312 is an abundant number, since it is smaller than the sum of its proper divisors (3410055276288).

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

2010220233312 is a wasteful number, since it uses less digits than its factorization.

2010220233312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86768 (or 86760 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 2010220233312 its reverse (2133320220102), we get a palindrome (4143540453414).

The spelling of 2010220233312 in words is "two trillion, ten billion, two hundred twenty million, two hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 7109 14218 21327 28436 42654 56872 79609 85308 113744 159218 170616 227488 238827 263033 318436 341232 477654 526066 636872 682464 789099 955308 1052132 1273744 1578198 1910616 2104264 2547488 2945533 3156396 3821232 4208528 5891066 6312792 7642464 8417056 8836599 11782132 12625584 17673198 23564264 25251168 35346396 47128528 70692792 94257056 141385584 282771168 565940381 1131880762 1697821143 2263761524 3395642286 4527523048 6791284572 9055046096 13582569144 18110092192 20939794097 27165138288 41879588194 54330276576 62819382291 83759176388 125638764582 167518352776 251277529164 335036705552 502555058328 670073411104 1005110116656 2010220233312