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2112020102000 = 24537165322777
BaseRepresentation
bin11110101110111110001…
…101010011101101110000
321110220111022102122022202
4132232332031103231300
5234100404121231000
64254125412322332
7305405553442514
oct36567615235560
97426438378282
102112020102000
11744780318486
122a13a73133a8
131242164262b3
1474318082144
1539e12608dd5
hex1ebbe353b70

2112020102000 has 160 divisors (see below), whose sum is σ = 5186950763904. Its totient is φ = 831597312000.

The previous prime is 2112020101921. The next prime is 2112020102033. The reversal of 2112020102000 is 2010202112.

It is a happy number.

It is a super-2 number, since 2×21120201020002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92714612 + ... + 92737388.

Almost surely, 22112020102000 is an apocalyptic number.

2112020102000 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 2112020102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2593475381952).

2112020102000 is an abundant number, since it is smaller than the sum of its proper divisors (3074930661904).

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

2112020102000 is a wasteful number, since it uses less digits than its factorization.

2112020102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23524 (or 23508 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2112020102000 its reverse (2010202112), we get a palindrome (2114030304112).

It can be divided in two parts, 21 and 12020102000, that added together give a palindrome (12020102021).

The spelling of 2112020102000 in words is "two trillion, one hundred twelve billion, twenty million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 71 80 100 125 142 200 250 284 355 400 500 568 653 710 1000 1136 1306 1420 1775 2000 2612 2840 3265 3550 5224 5680 6530 7100 8875 10448 13060 14200 16325 17750 22777 26120 28400 32650 35500 45554 46363 52240 65300 71000 81625 91108 92726 113885 130600 142000 163250 182216 185452 227770 231815 261200 326500 364432 370904 455540 463630 569425 653000 741808 911080 927260 1138850 1159075 1306000 1617167 1822160 1854520 2277700 2318150 2847125 3234334 3709040 4555400 4636300 5694250 5795375 6468668 8085835 9110800 9272600 11388500 11590750 12937336 14873381 16171670 18545200 22777000 23181500 25874672 29746762 32343340 40429175 45554000 46363000 59493524 64686680 74366905 80858350 92726000 118987048 129373360 148733810 161716700 202145875 237974096 297467620 323433400 371834525 404291750 594935240 646866800 743669050 808583500 1056010051 1189870480 1487338100 1617167000 1859172625 2112020102 2974676200 3234334000 3718345250 4224040204 5280050255 5949352400 7436690500 8448080408 10560100510 14873381000 16896160816 21120201020 26400251275 29746762000 42240402040 52800502550 84480804080 105601005100 132001256375 211202010200 264002512750 422404020400 528005025500 1056010051000 2112020102000