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2141313000 = 23353713771
BaseRepresentation
bin111111110100001…
…1101011111101000
312112020020222012220
41333220131133220
513341134004000
6552251434040
7104030601021
oct17750353750
95466228186
102141313000
119a9796172
124b9155920
13281824218
14164561c48
15c7ec81a0
hex7fa1d7e8

2141313000 has 64 divisors (see below), whose sum is σ = 6680905920. Its totient is φ = 571016000.

The previous prime is 2141312989. The next prime is 2141313001. The reversal of 2141313000 is 3131412.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (2141313001) 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, 353886 + ... + 359885.

It is an arithmetic number, because the mean of its divisors is an integer number (104389155).

Almost surely, 22141313000 is an apocalyptic number.

2141313000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141313000 is an abundant number, since it is smaller than the sum of its proper divisors (4539592920).

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

2141313000 is a wasteful number, since it uses less digits than its factorization.

2141313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713795 (or 713781 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2141313000 is about 46274.3233337885. The cubic root of 2141313000 is about 1288.9222414521.

Adding to 2141313000 its reverse (3131412), we get a palindrome (2144444412).

The spelling of 2141313000 in words is "two billion, one hundred forty-one million, three hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 713771 1427542 2141313 2855084 3568855 4282626 5710168 7137710 8565252 10706565 14275420 17130504 17844275 21413130 28550840 35688550 42826260 53532825 71377100 85652520 89221375 107065650 142754200 178442750 214131300 267664125 356885500 428262600 535328250 713771000 1070656500 2141313000