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2113222312000 = 2653929284341
BaseRepresentation
bin11110110000000101110…
…111011000000001000000
321111000121002121020102001
4132300011313120001000
5234110334402441000
64254445000033344
7305450422164112
oct36600567300100
97430532536361
102113222312000
117452379a3668
122a1681a62854
13124378512667
14743cd9c93b2
1539e82e2e46a
hex1ec05dd8040

2113222312000 has 112 divisors (see below), whose sum is σ = 5239046844720. Its totient is φ = 844376064000.

The previous prime is 2113222311883. The next prime is 2113222312021. The reversal of 2113222312000 is 2132223112.

It can be written as a sum of positive squares in 8 ways, for example, as 1541650023424 + 571572288576 = 1241632^2 + 756024^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7289830 + ... + 7574170.

Almost surely, 22113222312000 is an apocalyptic number.

2113222312000 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 2113222312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2619523422360).

2113222312000 is an abundant number, since it is smaller than the sum of its proper divisors (3125824532720).

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

2113222312000 is an equidigital number, since it uses as much as digits as its factorization.

2113222312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285297 (or 285277 counting only the distinct ones).

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

Adding to 2113222312000 its reverse (2132223112), we get a palindrome (2115354535112).

The spelling of 2113222312000 in words is "two trillion, one hundred thirteen billion, two hundred twenty-two million, three hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 929 1000 1600 1858 2000 3716 4000 4645 7432 8000 9290 14864 18580 23225 29728 37160 46450 59456 74320 92900 116125 148640 185800 232250 284341 297280 371600 464500 568682 743200 929000 1137364 1421705 1486400 1858000 2274728 2843410 3716000 4549456 5686820 7108525 7432000 9098912 11373640 14217050 18197824 22747280 28434100 35542625 45494560 56868200 71085250 90989120 113736400 142170500 227472800 264152789 284341000 454945600 528305578 568682000 1056611156 1137364000 1320763945 2113222312 2274728000 2641527890 4226444624 5283055780 6603819725 8452889248 10566111560 13207639450 16905778496 21132223120 26415278900 33019098625 42264446240 52830557800 66038197250 84528892480 105661115600 132076394500 211322231200 264152789000 422644462400 528305578000 1056611156000 2113222312000