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2010322211232 = 25337733772127
BaseRepresentation
bin11101010000010000100…
…010101001000110100000
321010011222210220111210210
4131100100202221012200
5230414114441224412
64135310153454120
7265145441565246
oct35202042510640
97104883814723
102010322211232
1170563352a975
12285744a11340
13117759c2837a
146d42b728796
153745e2d583c
hex1d4108a91a0

2010322211232 has 96 divisors (see below), whose sum is σ = 5427120932352. Its totient is φ = 651106059264.

The previous prime is 2010322211113. The next prime is 2010322211263. The reversal of 2010322211232 is 2321122230102.

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

It is a junction number, because it is equal to n+sod(n) for n = 2010322211199 and 2010322211208.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2217553 + ... + 2989679.

It is an arithmetic number, because the mean of its divisors is an integer number (56532509712).

Almost surely, 22010322211232 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 2010322211232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2713560466176).

2010322211232 is an abundant number, since it is smaller than the sum of its proper divisors (3416798721120).

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

2010322211232 is a wasteful number, since it uses less digits than its factorization.

2010322211232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772910 (or 772902 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 2010322211232 its reverse (2321122230102), we get a palindrome (4331444441334).

The spelling of 2010322211232 in words is "two trillion, ten billion, three hundred twenty-two million, two hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 733 888 1184 1466 1776 2199 2932 3552 4398 5864 8796 11728 17592 23456 27121 35184 54242 70368 81363 108484 162726 216968 325452 433936 650904 772127 867872 1301808 1544254 2316381 2603616 3088508 4632762 6177016 9265524 12354032 18531048 24708064 28568699 37062096 57137398 74124192 85706097 114274796 171412194 228549592 342824388 457099184 565969091 685648776 914198368 1131938182 1371297552 1697907273 2263876364 2742595104 3395814546 4527752728 6791629092 9055505456 13583258184 18111010912 20940856367 27166516368 41881712734 54333032736 62822569101 83763425468 125645138202 167526850936 251290276404 335053701872 502580552808 670107403744 1005161105616 2010322211232