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2100112322320 = 2451763110932239
BaseRepresentation
bin11110100011111000011…
…100101110111100010000
321102202202102211202110201
4132203320130232330100
5233402012223303240
64244440035304544
7304504512126625
oct36437034567420
97382672752421
102100112322320
1173a71a724351
1229b02344b154
1312306941020c
14739087cc34c
1539967002d9a
hex1e8f872ef10

2100112322320 has 160 divisors (see below), whose sum is σ = 5185228124160. Its totient is φ = 788303093760.

The previous prime is 2100112322317. The next prime is 2100112322327. The reversal of 2100112322320 is 232232110012.

It is a super-3 number, since 3×21001123223203 (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2100112322327) 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, 937967761 + ... + 937969999.

It is an arithmetic number, because the mean of its divisors is an integer number (32407675776).

Almost surely, 22100112322320 is an apocalyptic number.

2100112322320 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 2100112322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2592614062080).

2100112322320 is an abundant number, since it is smaller than the sum of its proper divisors (3085115801840).

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

2100112322320 is a wasteful number, since it uses less digits than its factorization.

2100112322320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3993 (or 3987 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 2100112322320 its reverse (232232110012), we get a palindrome (2332344432332).

The spelling of 2100112322320 in words is "two trillion, one hundred billion, one hundred twelve million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 631 680 1093 1262 1360 2186 2239 2524 3155 4372 4478 5048 5465 6310 8744 8956 10096 10727 10930 11195 12620 17488 17912 18581 21454 21860 22390 25240 35824 37162 38063 42908 43720 44780 50480 53635 74324 76126 85816 87440 89560 92905 107270 148648 152252 171632 179120 185810 190315 214540 297296 304504 371620 380630 429080 609008 689683 743240 761260 858160 1379366 1412809 1486480 1522520 2447227 2758732 2825618 3045040 3448415 4894454 5517464 5651236 6896830 7064045 9788908 11034928 11302472 11724611 12236135 13793660 14128090 19577816 22604944 23449222 24017753 24472270 27587320 28256180 39155632 41602859 46898444 48035506 48944540 55174640 56512360 58623055 83205718 93796888 96071012 97889080 113024720 117246110 120088765 166411436 187593776 192142024 195778160 208014295 234492220 240177530 332822872 384284048 416028590 468984440 480355060 665645744 832057180 937968880 960710120 1544200237 1664114360 1921420240 3088400474 3328228720 6176800948 7721001185 12353601896 15442002370 24707203792 26251404029 30884004740 52502808058 61768009480 105005616116 123536018960 131257020145 210011232232 262514040290 420022464464 525028080580 1050056161160 2100112322320