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212341542120 = 2334565537513
BaseRepresentation
bin1100010111000010001…
…0101100110011101000
3202022002110001222120000
43011300202230303220
511434333413321440
6241314240103000
721225010220241
oct3056042546350
9668073058500
10212341542120
11820652a0494
12351a0904a60
1317040168216
14a3c5207cc8
1557cbbac730
hex31708acce8

212341542120 has 80 divisors (see below), whose sum is σ = 713703527460. Its totient is φ = 56624410368.

The previous prime is 212341542109. The next prime is 212341542121. The reversal of 212341542120 is 21245143212.

212341542120 is a `hidden beast` number, since 2 + 1 + 234 + 1 + 5 + 421 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 200415591684 + 11925950436 = 447678^2 + 109206^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (212341542121) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 32765517 + ... + 32771996.

Almost surely, 2212341542120 is an apocalyptic number.

212341542120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212341542120 is an abundant number, since it is smaller than the sum of its proper divisors (501361985340).

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

212341542120 is a wasteful number, since it uses less digits than its factorization.

212341542120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65537536 (or 65537523 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 212341542120 its reverse (21245143212), we get a palindrome (233586685332).

The spelling of 212341542120 in words is "two hundred twelve billion, three hundred forty-one million, five hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 65537513 131075026 196612539 262150052 327687565 393225078 524300104 589837617 655375130 786450156 983062695 1179675234 1310750260 1572900312 1769512851 1966125390 2359350468 2621500520 2949188085 3539025702 3932250780 4718700936 5308538553 5898376170 7078051404 7864501560 8847564255 10617077106 11796752340 14156102808 17695128510 21234154212 23593504680 26542692765 35390257020 42468308424 53085385530 70780514040 106170771060 212341542120