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2133101160 = 2332510357527
BaseRepresentation
bin111111100100100…
…1000101001101000
312111122210202200200
41333021020221220
513332033214120
6551355432200
7103601026551
oct17711105150
95448722620
102133101160
119a5097523
124b6455660
1327cc0a548
14163425328
15c7404e90
hex7f248a68

2133101160 has 96 divisors (see below), whose sum is σ = 7000007040. Its totient is φ = 563294592.

The previous prime is 2133101141. The next prime is 2133101183. The reversal of 2133101160 is 611013312.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8317 + ... + 65843.

It is an arithmetic number, because the mean of its divisors is an integer number (72916740).

Almost surely, 22133101160 is an apocalyptic number.

2133101160 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 2133101160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3500003520).

2133101160 is an abundant number, since it is smaller than the sum of its proper divisors (4866905880).

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

2133101160 is a wasteful number, since it uses less digits than its factorization.

2133101160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57647 (or 57640 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 2133101160 is about 46185.5081167242. The cubic root of 2133101160 is about 1287.2724775948.

Adding to 2133101160 its reverse (611013312), we get a palindrome (2744114472).

The spelling of 2133101160 in words is "two billion, one hundred thirty-three million, one hundred one thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 103 120 180 206 309 360 412 515 618 824 927 1030 1236 1545 1854 2060 2472 3090 3708 4120 4635 6180 7416 9270 12360 18540 37080 57527 115054 172581 230108 287635 345162 460216 517743 575270 690324 862905 1035486 1150540 1380648 1725810 2070972 2301080 2588715 3451620 4141944 5177430 5925281 6903240 10354860 11850562 17775843 20709720 23701124 29626405 35551686 47402248 53327529 59252810 71103372 88879215 106655058 118505620 142206744 177758430 213310116 237011240 266637645 355516860 426620232 533275290 711033720 1066550580 2133101160