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2112012020200 = 235253269740693
BaseRepresentation
bin11110101110111101101…
…110011110100111101000
321110220110202020001011211
4132232331232132213220
5234100400034121300
64254124523202504
7305405424652435
oct36567556364750
97426422201154
102112012020200
117447767a8505
122a13a4676434
13124214856874
1474316d7ab8c
1539e11a5e4ba
hex1ebbdb9e9e8

2112012020200 has 96 divisors (see below), whose sum is σ = 5021683111800. Its totient is φ = 825782696960.

The previous prime is 2112012020197. The next prime is 2112012020207. The reversal of 2112012020200 is 20202102112.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 20858869476 + 2091153150724 = 144426^2 + 1446082^2 .

It is not an unprimeable number, because it can be changed into a prime (2112012020207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2481054 + ... + 3221746.

Almost surely, 22112012020200 is an apocalyptic number.

2112012020200 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 2112012020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2510841555900).

2112012020200 is an abundant number, since it is smaller than the sum of its proper divisors (2909671091600).

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

2112012020200 is a wasteful number, since it uses less digits than its factorization.

2112012020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741031 (or 741022 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2112012020200 its reverse (20202102112), we get a palindrome (2132214122312).

The spelling of 2112012020200 in words is "two trillion, one hundred twelve billion, twelve million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 200 212 265 269 424 530 538 1060 1076 1325 1345 2120 2152 2650 2690 5300 5380 6725 10600 10760 13450 14257 26900 28514 53800 57028 71285 114056 142570 285140 356425 570280 712850 740693 1425700 1481386 2851400 2962772 3703465 5925544 7406930 14813860 18517325 29627720 37034650 39256729 74069300 78513458 148138600 157026916 196283645 199246417 314053832 392567290 398492834 785134580 796985668 981418225 996232085 1570269160 1593971336 1962836450 1992464170 3925672900 3984928340 4981160425 7851345800 7969856680 9962320850 10560060101 19924641700 21120120202 39849283400 42240240404 52800300505 84480480808 105600601010 211201202020 264001502525 422402404040 528003005050 1056006010100 2112012020200