Search a number
-
+
2321121132 = 22321147311401
BaseRepresentation
bin1000101001011001…
…0111111101101100
312222202121011121100
42022112113331230
514223201334012
61022153403100
7111343130001
oct21226277554
95882534540
102321121132
11a91237730
12549409490
132acb5b975
141803a98a8
15d8b948dc
hex8a597f6c

2321121132 has 144 divisors (see below), whose sum is σ = 6574224384. Its totient is φ = 684480000.

The previous prime is 2321121119. The next prime is 2321121161. The reversal of 2321121132 is 2311211232.

It is a super-4 number, since 4×23211211324 (a number of 39 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5788132 + ... + 5788532.

It is an arithmetic number, because the mean of its divisors is an integer number (45654336).

Almost surely, 22321121132 is an apocalyptic number.

2321121132 is a gapful number since it is divisible by the number (22) 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 2321121132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3287112192).

2321121132 is an abundant number, since it is smaller than the sum of its proper divisors (4253103252).

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

2321121132 is a wasteful number, since it uses less digits than its factorization.

2321121132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 775 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 2321121132 is about 48178.0150276036. The cubic root of 2321121132 is about 1324.0343992730.

Adding to 2321121132 its reverse (2311211232), we get a palindrome (4632332364).

The spelling of 2321121132 in words is "two billion, three hundred twenty-one million, one hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 47 66 94 99 132 141 188 198 282 311 396 401 423 517 564 622 802 846 933 1034 1203 1244 1551 1604 1692 1866 2068 2406 2799 3102 3421 3609 3732 4411 4653 4812 5598 6204 6842 7218 8822 9306 10263 11196 13233 13684 14436 14617 17644 18612 18847 20526 26466 29234 30789 37694 39699 41052 43851 52932 56541 58468 61578 75388 79398 87702 113082 123156 124711 131553 158796 160787 169623 175404 207317 226164 249422 263106 321574 339246 374133 414634 482361 498844 526212 621951 643148 678492 748266 829268 964722 1122399 1243902 1371821 1447083 1496532 1865853 1929444 2244798 2487804 2743642 2894166 3731706 4115463 4489596 5487284 5788332 5861417 7463412 8230926 11722834 12346389 16461852 17584251 23445668 24692778 35168502 49385556 52752753 64475587 70337004 105505506 128951174 193426761 211011012 257902348 386853522 580280283 773707044 1160560566 2321121132