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2133102340 = 2252373139457
BaseRepresentation
bin111111100100100…
…1000111100000100
312111122210211022101
41333021020330010
513332033233330
6551355441444
7103601033155
oct17711107404
95448724271
102133102340
119a50983a6
124b6456284
1327cc0ac45
1416342592c
15c74054ca
hex7f248f04

2133102340 has 96 divisors (see below), whose sum is σ = 4782839040. Its totient is φ = 797423616.

The previous prime is 2133102331. The next prime is 2133102347. The reversal of 2133102340 is 432013312.

It is not an unprimeable number, because it can be changed into a prime (2133102347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4667392 + ... + 4667848.

It is an arithmetic number, because the mean of its divisors is an integer number (49821240).

Almost surely, 22133102340 is an apocalyptic number.

2133102340 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 2133102340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2391419520).

2133102340 is an abundant number, since it is smaller than the sum of its proper divisors (2649736700).

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

2133102340 is a wasteful number, since it uses less digits than its factorization.

2133102340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 2133102340 is about 46185.5208912923. The cubic root of 2133102340 is about 1287.2727149614.

Adding to 2133102340 its reverse (432013312), we get a palindrome (2565115652).

The spelling of 2133102340 in words is "two billion, one hundred thirty-three million, one hundred two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 46 73 92 115 139 146 230 278 292 365 457 460 556 695 730 914 1390 1460 1679 1828 2285 2780 3197 3358 4570 6394 6716 8395 9140 10147 10511 12788 15985 16790 20294 21022 31970 33361 33580 40588 42044 50735 52555 63523 63940 66722 101470 105110 127046 133444 166805 202940 210220 233381 254092 317615 333610 466762 635230 667220 767303 933524 1166905 1270460 1461029 1534606 2333810 2922058 3069212 3836515 4637179 4667620 5844116 7305145 7673030 9274358 14610290 15346060 18548716 23185895 29220580 46371790 92743580 106655117 213310234 426620468 533275585 1066551170 2133102340