Search a number
-
+
2133101320 = 235723135107
BaseRepresentation
bin111111100100100…
…1000101100001000
312111122210202220121
41333021020230020
513332033220240
6551355433024
7103601030200
oct17711105410
95448722817
102133101320
119a5097659
124b6455774
1327cc0a63c
14163425400
15c740504a
hex7f248b08

2133101320 has 96 divisors (see below), whose sum is σ = 5763329280. Its totient is φ = 707736960.

The previous prime is 2133101303. The next prime is 2133101407. The reversal of 2133101320 is 231013312.

It is a junction number, because it is equal to n+sod(n) for n = 2133101294 and 2133101303.

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, 43207 + ... + 78313.

It is an arithmetic number, because the mean of its divisors is an integer number (60034680).

Almost surely, 22133101320 is an apocalyptic number.

2133101320 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 2133101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2881664640).

2133101320 is an abundant number, since it is smaller than the sum of its proper divisors (3630227960).

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

2133101320 is a wasteful number, since it uses less digits than its factorization.

2133101320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35163 (or 35152 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 2133101320 is about 46185.5098488693. The cubic root of 2133101320 is about 1287.2725097801.

Adding to 2133101320 its reverse (231013312), we get a palindrome (2364114632).

The spelling of 2133101320 in words is "two billion, one hundred thirty-three million, one hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 49 56 62 70 98 124 140 155 196 217 245 248 280 310 392 434 490 620 868 980 1085 1240 1519 1736 1960 2170 3038 4340 6076 7595 8680 12152 15190 30380 35107 60760 70214 140428 175535 245749 280856 351070 491498 702140 982996 1088317 1228745 1404280 1720243 1965992 2176634 2457490 3440486 4353268 4914980 5441585 6880972 7618219 8601215 8706536 9829960 10883170 13761944 15236438 17202430 21766340 30472876 34404860 38091095 43532680 53327533 60945752 68809720 76182190 106655066 152364380 213310132 266637665 304728760 426620264 533275330 1066550660 2133101320