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10212112230120 = 2332528366978417
BaseRepresentation
bin1001010010011011000101…
…0100100110011011101000
31100011021020122210222110100
42110212301110212123220
52314303401212330440
633415213554145400
72102541442505463
oct224466124463350
940137218728410
1010212112230120
113287a29140a59
12118b213882260
13590cc8945668
142743a9ac42da
1512a991906230
hex949b15266e8

10212112230120 has 48 divisors (see below), whose sum is σ = 33189364749060. Its totient is φ = 2723229927936.

The previous prime is 10212112230097. The next prime is 10212112230163. The reversal of 10212112230120 is 2103221121201.

10212112230120 is a `hidden beast` number, since 10 + 212 + 1 + 122 + 301 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10115414864676 + 96697365444 = 3180474^2 + 310962^2 .

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 = 10212112230093 and 10212112230102.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14183488849 + ... + 14183489568.

Almost surely, 210212112230120 is an apocalyptic number.

10212112230120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212112230120 is an abundant number, since it is smaller than the sum of its proper divisors (22977252518940).

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

10212112230120 is a wasteful number, since it uses less digits than its factorization.

10212112230120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28366978434 (or 28366978427 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10212112230120 its reverse (2103221121201), we get a palindrome (12315333351321).

The spelling of 10212112230120 in words is "ten trillion, two hundred twelve billion, one hundred twelve million, two hundred thirty 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 28366978417 56733956834 85100935251 113467913668 141834892085 170201870502 226935827336 255302805753 283669784170 340403741004 425504676255 510605611506 567339568340 680807482008 851009352510 1021211223012 1134679136680 1276514028765 1702018705020 2042422446024 2553028057530 3404037410040 5106056115060 10212112230120