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220131210332000 = 2553115002982053
BaseRepresentation
bin110010000011010101001010…
…100110001000011101100000
31001212102100010112111001020002
4302003111022212020131200
5212323112204321111000
62100102514300235132
764236645413633462
oct6203251246103540
91055370115431202
10220131210332000
11641601384728a0
1220832aa0b3baa8
1395aa390118606
143c5059bdaa132
151a6b1b81658d5
hexc8354a988760

220131210332000 has 96 divisors (see below), whose sum is σ = 590031691520544. Its totient is φ = 80047712832000.

The previous prime is 220131210331997. The next prime is 220131210332009. The reversal of 220131210332000 is 233012131022.

It is a super-3 number, since 3×2201312103320003 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220131210332009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2501447027 + ... + 2501535026.

It is an arithmetic number, because the mean of its divisors is an integer number (6146163453339).

Almost surely, 2220131210332000 is an apocalyptic number.

220131210332000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220131210332000 is an abundant number, since it is smaller than the sum of its proper divisors (369900481188544).

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

220131210332000 is a wasteful number, since it uses less digits than its factorization.

220131210332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5002982089 (or 5002982071 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 220131210332000 its reverse (233012131022), we get a palindrome (220364222463022).

The spelling of 220131210332000 in words is "two hundred twenty trillion, one hundred thirty-one billion, two hundred ten million, three hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 800 880 1000 1100 1375 1760 2000 2200 2750 4000 4400 5500 8800 11000 22000 44000 5002982053 10005964106 20011928212 25014910265 40023856424 50029820530 55032802583 80047712848 100059641060 110065605166 125074551325 160095425696 200119282120 220131210332 250149102650 275164012915 400238564240 440262420664 500298205300 550328025830 625372756625 800477128480 880524841328 1000596410600 1100656051660 1250745513250 1375820064575 1761049682656 2001192821200 2201312103320 2501491026500 2751640129150 4002385642400 4402624206640 5002982053000 5503280258300 6879100322875 8805248413280 10005964106000 11006560516600 13758200645750 20011928212000 22013121033200 27516401291500 44026242066400 55032802583000 110065605166000 220131210332000