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220012112010200 = 235235322193140419
BaseRepresentation
bin110010000001100110001111…
…110010000101101111011000
31001211222221201100222102200112
4302001212033302011233120
5212314134301133311300
62055532100254023452
764225231143616466
oct6201461762055730
91054887640872615
10220012112010200
1164114681586974
12208139a31a7b88
13959c08c994753
143c489006d9836
151a6804741de35
hexc8198fc85bd8

220012112010200 has 96 divisors (see below), whose sum is σ = 513004016422800. Its totient is φ = 87750960168960.

The previous prime is 220012112010161. The next prime is 220012112010203. The reversal of 220012112010200 is 2010211210022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220012112010203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1566755591 + ... + 1566896009.

Almost surely, 2220012112010200 is an apocalyptic number.

220012112010200 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 220012112010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256502008211400).

220012112010200 is an abundant number, since it is smaller than the sum of its proper divisors (292991904412600).

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

220012112010200 is a wasteful number, since it uses less digits than its factorization.

220012112010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162981 (or 162972 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 220012112010200 its reverse (2010211210022), we get a palindrome (222022323220222).

The spelling of 220012112010200 in words is "two hundred twenty trillion, twelve billion, one hundred twelve million, ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 353 706 1412 1765 2824 3530 7060 8825 14120 17650 22193 35300 44386 70600 88772 110965 140419 177544 221930 280838 443860 554825 561676 702095 887720 1109650 1123352 1404190 2219300 2808380 3510475 4438600 5616760 7020950 7834129 14041900 15668258 28083800 31336516 39170645 49567907 62673032 78341290 99135814 156682580 195853225 198271628 247839535 313365160 391706450 396543256 495679070 783412900 991358140 1239197675 1566825800 1982716280 2478395350 3116318867 4956790700 6232637734 9913581400 12465275468 15581594335 24930550936 31163188670 62326377340 77907971675 124652754680 155815943350 311631886700 623263773400 1100060560051 2200121120102 4400242240204 5500302800255 8800484480408 11000605600510 22001211201020 27501514001275 44002422402040 55003028002550 110006056005100 220012112010200