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2120382330 = 23511193110909
BaseRepresentation
bin111111001100010…
…0111011101111010
312110202212120201220
41332120213131322
513320304213310
6550223052510
7103354644453
oct17630473572
95422776656
102120382330
1199899a6a0
124b2141136
1327a3a6301
1416187412a
15c6241670
hex7e62777a

2120382330 has 128 divisors (see below), whose sum is σ = 6032793600. Its totient is φ = 471225600.

The previous prime is 2120382323. The next prime is 2120382353. The reversal of 2120382330 is 332830212.

It is a self number, because there is not a number n which added to its sum of digits gives 2120382330.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 188916 + ... + 199824.

It is an arithmetic number, because the mean of its divisors is an integer number (47131200).

Almost surely, 22120382330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120382330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3016396800).

2120382330 is an abundant number, since it is smaller than the sum of its proper divisors (3912411270).

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

2120382330 is a wasteful number, since it uses less digits than its factorization.

2120382330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10980.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 2120382330 is about 46047.6093842015. The cubic root of 2120382330 is about 1284.7088784199.

The spelling of 2120382330 in words is "two billion, one hundred twenty million, three hundred eighty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 31 33 38 55 57 62 66 93 95 110 114 155 165 186 190 209 285 310 330 341 418 465 570 589 627 682 930 1023 1045 1178 1254 1705 1767 2046 2090 2945 3135 3410 3534 5115 5890 6270 6479 8835 10230 10909 12958 17670 19437 21818 32395 32727 38874 54545 64790 65454 97185 109090 119999 163635 194370 207271 239998 327270 338179 359997 414542 599995 621813 676358 719994 1014537 1036355 1199990 1243626 1690895 1799985 2029074 2072710 2279981 3109065 3381790 3599970 3719969 4559962 5072685 6218130 6425401 6839943 7439938 10145370 11159907 11399905 12850802 13679886 18599845 19276203 22319814 22799810 32127005 34199715 37199690 38552406 55799535 64254010 68399430 70679411 96381015 111599070 141358822 192762030 212038233 353397055 424076466 706794110 1060191165 2120382330