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2380364207100 = 2233521180146943
BaseRepresentation
bin100010101000111000110…
…000110101001111111100
322102120010200012120221000
4202220320300311033330
5302444441214111400
65021305122010300
7333655433630325
oct42507060651774
98376120176830
102380364207100
118385635a2370
123253b71a6990
1314360cab6739
14832d2c9544c
1541dbaaed600
hex22a38c353fc

2380364207100 has 144 divisors (see below), whose sum is σ = 8348105687040. Its totient is φ = 577057982400.

The previous prime is 2380364207087. The next prime is 2380364207101. The reversal of 2380364207100 is 17024630832.

It is a happy number.

2380364207100 is a `hidden beast` number, since 2 + 3 + 8 + 0 + 3 + 642 + 0 + 7 + 1 + 0 + 0 = 666.

2380364207100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×23803642071002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2380364207101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40043772 + ... + 40103171.

It is an arithmetic number, because the mean of its divisors is an integer number (57972956160).

Almost surely, 22380364207100 is an apocalyptic number.

2380364207100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2380364207100 is an abundant number, since it is smaller than the sum of its proper divisors (5967741479940).

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

2380364207100 is a wasteful number, since it uses less digits than its factorization.

2380364207100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80146977 (or 80146964 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 2380364207100 its reverse (17024630832), we get a palindrome (2397388837932).

The spelling of 2380364207100 in words is "two trillion, three hundred eighty billion, three hundred sixty-four million, two hundred seven thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 27 30 33 36 44 45 50 54 55 60 66 75 90 99 100 108 110 132 135 150 165 180 198 220 225 270 275 297 300 330 396 450 495 540 550 594 660 675 825 900 990 1100 1188 1350 1485 1650 1980 2475 2700 2970 3300 4950 5940 7425 9900 14850 29700 80146943 160293886 240440829 320587772 400734715 480881658 721322487 801469430 881616373 961763316 1202204145 1442644974 1602938860 1763232746 2003673575 2163967461 2404408290 2644849119 2885289948 3526465492 3606612435 4007347150 4327934922 4408081865 4808816580 5289698238 6011020725 7213224870 7934547357 8014694300 8655869844 8816163730 10579396476 10819837305 12022041450 13224245595 14426449740 15869094714 17632327460 18033062175 21639674610 22040409325 23803642071 24044082900 26448491190 31738189428 36066124350 39672736785 43279349220 44080818650 47607284142 52896982380 54099186525 66121227975 72132248700 79345473570 88161637300 95214568284 108198373050 119018210355 132242455950 158690947140 198363683925 216396746100 238036420710 264484911900 396727367850 476072841420 595091051775 793454735700 1190182103550 2380364207100