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2220033132120 = 2335439106139719
BaseRepresentation
bin100000010011100100010…
…010010100011001011000
321212020021221000002102210
4200103210102110121120
5242333111440211440
64415511422355120
7316251330161046
oct40234422243130
97766257002383
102220033132120
11786568910721
122ba31072baa0
1313146b08b97b
14796433dd396
153cb35064a80
hex204e4494658

2220033132120 has 128 divisors (see below), whose sum is σ = 6681730176000. Its totient is φ = 590088737280.

The previous prime is 2220033132073. The next prime is 2220033132127. The reversal of 2220033132120 is 212313300222.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220033132127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55873621 + ... + 55913339.

It is an arithmetic number, because the mean of its divisors is an integer number (52201017000).

Almost surely, 22220033132120 is an apocalyptic number.

2220033132120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220033132120 is an abundant number, since it is smaller than the sum of its proper divisors (4461697043880).

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

2220033132120 is a wasteful number, since it uses less digits than its factorization.

2220033132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41233 (or 41229 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 2220033132120 its reverse (212313300222), we get a palindrome (2432346432342).

The spelling of 2220033132120 in words is "two trillion, two hundred twenty billion, thirty-three million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 439 878 1061 1317 1756 2122 2195 2634 3183 3512 4244 4390 5268 5305 6366 6585 8488 8780 10536 10610 12732 13170 15915 17560 21220 25464 26340 31830 39719 42440 52680 63660 79438 119157 127320 158876 198595 238314 317752 397190 465779 476628 595785 794380 931558 953256 1191570 1397337 1588760 1863116 2328895 2383140 2794674 3726232 4657790 4766280 5589348 6986685 9315580 11178696 13973370 17436641 18631160 27946740 34873282 42141859 52309923 55893480 69746564 84283718 87183205 104619846 126425577 139493128 168567436 174366410 209239692 210709295 252851154 261549615 337134872 348732820 418479384 421418590 505702308 523099230 632127885 697465640 842837180 1011404616 1046198460 1264255770 1685674360 2092396920 2528511540 5057023080 18500276101 37000552202 55500828303 74001104404 92501380505 111001656606 148002208808 185002761010 222003313212 277504141515 370005522020 444006626424 555008283030 740011044040 1110016566060 2220033132120