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211312232011200 = 2635244023381669
BaseRepresentation
bin110000000010111111110110…
…100001101001010111000000
31000201012020210202220022111210
4300002333312201221113000
5210144114422343324300
62025231255500410120
762336543046020655
oct6002776641512700
91021166722808453
10211312232011200
1161370018087621
121b849886b46940
1390ba87275ab88
143a277d0a71c2c
151966ab1c07050
hexc02ff68695c0

211312232011200 has 84 divisors (see below), whose sum is σ = 693280214539160. Its totient is φ = 56349928535040.

The previous prime is 211312232011171. The next prime is 211312232011201. The reversal of 211312232011200 is 2110232213112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211312232011201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22011686035 + ... + 22011695634.

Almost surely, 2211312232011200 is an apocalyptic number.

211312232011200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211312232011200 is an abundant number, since it is smaller than the sum of its proper divisors (481967982527960).

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

211312232011200 is a wasteful number, since it uses less digits than its factorization.

211312232011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44023381694 (or 44023381679 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 211312232011200 its reverse (2110232213112), we get a palindrome (213422464224312).

The spelling of 211312232011200 in words is "two hundred eleven trillion, three hundred twelve billion, two hundred thirty-two million, eleven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 150 160 192 200 240 300 320 400 480 600 800 960 1200 1600 2400 4800 44023381669 88046763338 132070145007 176093526676 220116908345 264140290014 352187053352 440233816690 528280580028 660350725035 704374106704 880467633380 1056561160056 1100584541725 1320701450070 1408748213408 1760935266760 2113122320112 2201169083450 2641402900140 2817496426816 3301753625175 3521870533520 4226244640224 4402338166900 5282805800280 6603507250350 7043741067040 8452489280448 8804676333800 10565611600560 13207014500700 14087482134080 17609352667600 21131223201120 26414029001400 35218705335200 42262446402240 52828058002800 70437410670400 105656116005600 211312232011200