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2011341332 = 22711132172273
BaseRepresentation
bin111011111100010…
…1010001000010100
312012011200201121102
41313320222020110
513104400410312
6531330005232
7100562055620
oct16770521024
95164621542
102011341332
11942393570
12481716818
13260918600
141511ac180
15bb8a2ec2
hex77e2a214

2011341332 has 144 divisors (see below), whose sum is σ = 5033653632. Its totient is φ = 680509440.

The previous prime is 2011341317. The next prime is 2011341337. The reversal of 2011341332 is 2331431102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011341337) 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, 883748 + ... + 886020.

It is an arithmetic number, because the mean of its divisors is an integer number (34955928).

Almost surely, 22011341332 is an apocalyptic number.

2011341332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011341332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2516826816).

2011341332 is an abundant number, since it is smaller than the sum of its proper divisors (3022312300).

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

2011341332 is a wasteful number, since it uses less digits than its factorization.

2011341332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 2011341332 is about 44847.9802443767. The cubic root of 2011341332 is about 1262.2980928887.

Adding to 2011341332 its reverse (2331431102), we get a palindrome (4342772434).

It can be divided in two parts, 2011 and 341332, that added together give a palindrome (343343).

The spelling of 2011341332 in words is "two billion, eleven million, three hundred forty-one thousand, three hundred thirty-two".

Divisors: 1 2 4 7 11 13 14 17 22 26 28 34 44 52 68 77 91 119 143 154 169 182 187 221 238 286 308 338 364 374 442 476 572 676 748 884 1001 1183 1309 1547 1859 2002 2273 2366 2431 2618 2873 3094 3718 4004 4546 4732 4862 5236 5746 6188 7436 9092 9724 11492 13013 15911 17017 20111 25003 26026 29549 31603 31822 34034 38641 40222 50006 52052 59098 63206 63644 68068 77282 80444 100012 118196 126412 154564 175021 206843 221221 270487 325039 350042 384137 413686 425051 442442 502333 540974 650078 700084 768274 827372 850102 884884 1004666 1081948 1300156 1536548 1700204 2009332 2275273 2688959 2975357 3516331 4225507 4550546 5377918 5525663 5950714 6530329 7032662 8451014 9101092 10755836 11051326 11901428 13060658 14065324 16902028 22102652 26121316 29578549 38679641 45712303 59157098 71833619 77359282 91424606 118314196 143667238 154718564 182849212 287334476 502835333 1005670666 2011341332