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212020032120320 = 29586779544811
BaseRepresentation
bin110000001101010011000010…
…101100110010011000000000
31000210200220202120200022102002
4300031103002230302120000
5210242214011210322240
62030532354053243132
762441641021463264
oct6015230254623000
91023626676608362
10212020032120320
1161613210865696
121b942a9b9334a8
13913c531bc14a8
143a4db77c8a0a4
15197a1da972d15
hexc0d4c2b32600

212020032120320 has 80 divisors (see below), whose sum is σ = 508409794453968. Its totient is φ = 84798230077440.

The previous prime is 212020032120317. The next prime is 212020032120431. The reversal of 212020032120320 is 23021230020212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 212020032120292 and 212020032120301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17440715 + ... + 26985525.

Almost surely, 2212020032120320 is an apocalyptic number.

212020032120320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212020032120320 is an abundant number, since it is smaller than the sum of its proper divisors (296389762333648).

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

212020032120320 is an frugal number, since it uses more digits than its factorization.

212020032120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9553511 (or 9553495 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 212020032120320 its reverse (23021230020212), we get a palindrome (235041262140532).

The spelling of 212020032120320 in words is "two hundred twelve trillion, twenty billion, thirty-two million, one hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 8677 17354 34708 43385 69416 86770 138832 173540 277664 347080 555328 694160 1110656 1388320 2221312 2776640 4442624 5553280 9544811 11106560 19089622 22213120 38179244 47724055 76358488 95448110 152716976 190896220 305433952 381792440 610867904 763584880 1221735808 1527169760 2443471616 3054339520 4886943232 6108679040 12217358080 24434716160 82820325047 165640650094 331281300188 414101625235 662562600376 828203250470 1325125200752 1656406500940 2650250401504 3312813001880 5300500803008 6625626003760 10601001606016 13251252007520 21202003212032 26502504015040 42404006424064 53005008030080 106010016060160 212020032120320