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213310122120 = 23325592799971
BaseRepresentation
bin1100011010101001000…
…1100010100010001000
3202101120221121221112100
43012222101202202020
511443324342401440
6241554320113400
721261011056524
oct3065221424210
9671527557470
10213310122120
1182512003a27
1235411165860
1317165a23c94
14a477ad6d84
155836c34230
hex31aa462888

213310122120 has 96 divisors (see below), whose sum is σ = 693381798720. Its totient is φ = 56872533120.

The previous prime is 213310122007. The next prime is 213310122121. The reversal of 213310122120 is 21221013312.

213310122120 is a `hidden beast` number, since 213 + 310 + 1 + 22 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 213310122093 and 213310122102.

It is not an unprimeable number, because it can be changed into a prime (213310122121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2083735 + ... + 2183705.

It is an arithmetic number, because the mean of its divisors is an integer number (7222727070).

Almost surely, 2213310122120 is an apocalyptic number.

213310122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213310122120 is an abundant number, since it is smaller than the sum of its proper divisors (480071676600).

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

213310122120 is a wasteful number, since it uses less digits than its factorization.

213310122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105915 (or 105908 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 213310122120 its reverse (21221013312), we get a palindrome (234531135432).

The spelling of 213310122120 in words is "two hundred thirteen billion, three hundred ten million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 5927 11854 17781 23708 29635 35562 47416 53343 59270 71124 88905 99971 106686 118540 142248 177810 199942 213372 237080 266715 299913 355620 399884 426744 499855 533430 599826 711240 799768 899739 999710 1066860 1199652 1499565 1799478 1999420 2133720 2399304 2999130 3598956 3998840 4498695 5998260 7197912 8997390 11996520 17994780 35989560 592528117 1185056234 1777584351 2370112468 2962640585 3555168702 4740224936 5332753053 5925281170 7110337404 8887921755 10665506106 11850562340 14220674808 17775843510 21331012212 23701124680 26663765265 35551687020 42662024424 53327530530 71103374040 106655061060 213310122120