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2312013354080 = 255107293460913
BaseRepresentation
bin100001101001001110101…
…111000001010001100000
322012000201012000111102012
4201221032233001101200
5300340000404312310
64530042502012052
7326015563153343
oct41511657012140
98160635014365
102312013354080
1181157929a891
12314100717028
1313a039221c01
147dc8b2c845a
154021a198c05
hex21a4ebc1460

2312013354080 has 96 divisors (see below), whose sum is σ = 5532007821984. Its totient is φ = 913033486336.

The previous prime is 2312013354037. The next prime is 2312013354317. The reversal of 2312013354080 is 804533102132.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4785704 + ... + 5246616.

It is an arithmetic number, because the mean of its divisors is an integer number (57625081479).

Almost surely, 22312013354080 is an apocalyptic number.

2312013354080 is a gapful number since it is divisible by the number (20) 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 2312013354080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2766003910992).

2312013354080 is an abundant number, since it is smaller than the sum of its proper divisors (3219994467904).

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

2312013354080 is a wasteful number, since it uses less digits than its factorization.

2312013354080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461328 (or 461320 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The spelling of 2312013354080 in words is "two trillion, three hundred twelve billion, thirteen million, three hundred fifty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 107 160 214 293 428 535 586 856 1070 1172 1465 1712 2140 2344 2930 3424 4280 4688 5860 8560 9376 11720 17120 23440 31351 46880 62702 125404 156755 250808 313510 460913 501616 627020 921826 1003232 1254040 1843652 2304565 2508080 3687304 4609130 5016160 7374608 9218260 14749216 18436520 36873040 49317691 73746080 98635382 135047509 197270764 246588455 270095018 394541528 493176910 540190036 675237545 789083056 986353820 1080380072 1350475090 1578166112 1972707640 2160760144 2700950180 3945415280 4321520288 5401900360 7890830560 10803800720 14450083463 21607601440 28900166926 57800333852 72250417315 115600667704 144500834630 231201335408 289001669260 462402670816 578003338520 1156006677040 2312013354080