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212130120 = 23351767751
BaseRepresentation
bin11001010010011…
…01100101001000
3112210011022211010
430221031211020
5413301130440
633014403520
75154035106
oct1451154510
9483138733
10212130120
11a9818554
125b0605a0
1334c435a7
142025cc76
1513953580
hexca4d948

212130120 has 32 divisors (see below), whose sum is σ = 636390720. Its totient is φ = 56568000.

The previous prime is 212130119. The next prime is 212130151. The reversal of 212130120 is 21031212.

It is a super-2 number, since 2×2121301202 = 89998375622428800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 212130096 and 212130105.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 883756 + ... + 883995.

It is an arithmetic number, because the mean of its divisors is an integer number (19887210).

Almost surely, 2212130120 is an apocalyptic number.

212130120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212130120 is an abundant number, since it is smaller than the sum of its proper divisors (424260600).

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

212130120 is a wasteful number, since it uses less digits than its factorization.

212130120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1767765 (or 1767761 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 212130120 is about 14564.6874322795. The cubic root of 212130120 is about 596.3951630700.

Adding to 212130120 its reverse (21031212), we get a palindrome (233161332).

The spelling of 212130120 in words is "two hundred twelve million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1767751 3535502 5303253 7071004 8838755 10606506 14142008 17677510 21213012 26516265 35355020 42426024 53032530 70710040 106065060 212130120