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2321131140 = 223554331103
BaseRepresentation
bin1000101001011001…
…1010011010000100
312222202121200100000
42022112122122010
514223202144030
61022153521300
7111343201116
oct21226323204
95882550300
102321131140
11a912441a9
12549413230
132acb633a3
141803ad3b6
15d8b97860
hex8a59a684

2321131140 has 144 divisors (see below), whose sum is σ = 7325031168. Its totient is φ = 616978944.

The previous prime is 2321131133. The next prime is 2321131147. The reversal of 2321131140 is 411311232.

It is an interprime number because it is at equal distance from previous prime (2321131133) and next prime (2321131147).

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

It is not an unprimeable number, because it can be changed into a prime (2321131147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2103829 + ... + 2104931.

It is an arithmetic number, because the mean of its divisors is an integer number (50868272).

Almost surely, 22321131140 is an apocalyptic number.

2321131140 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 2321131140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3662515584).

2321131140 is an abundant number, since it is smaller than the sum of its proper divisors (5003900028).

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

2321131140 is a wasteful number, since it uses less digits than its factorization.

2321131140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 1546 counting only the distinct ones).

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

The square root of 2321131140 is about 48178.1188922938. The cubic root of 2321131140 is about 1324.0363022208.

Adding to 2321131140 its reverse (411311232), we get a palindrome (2732442372).

The spelling of 2321131140 in words is "two billion, three hundred twenty-one million, one hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 433 486 540 810 866 972 1103 1215 1299 1620 1732 2165 2206 2430 2598 3309 3897 4330 4412 4860 5196 5515 6495 6618 7794 8660 9927 11030 11691 12990 13236 15588 16545 19485 19854 22060 23382 25980 29781 33090 35073 38970 39708 46764 49635 58455 59562 66180 70146 77940 89343 99270 105219 116910 119124 140292 148905 175365 178686 198540 210438 233820 268029 297810 350730 357372 420876 446715 477599 526095 536058 595620 701460 893430 955198 1052190 1072116 1340145 1432797 1786860 1910396 2104380 2387995 2680290 2865594 4298391 4775990 5360580 5731188 7163985 8596782 9551980 12895173 14327970 17193564 21491955 25790346 28655940 38685519 42983910 51580692 64475865 77371038 85967820 116056557 128951730 154742076 193427595 232113114 257903460 386855190 464226228 580282785 773710380 1160565570 2321131140