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120202120 = 23510129753
BaseRepresentation
bin1110010101000…
…10001110001000
322101011220022101
413022202032020
5221232431440
615532203144
72656462333
oct712421610
9271156271
10120202120
116193a6a5
12343094b4
131bb97c1c
1411d6d61a
15a84569a
hex72a2388

120202120 has 32 divisors (see below), whose sum is σ = 273141720. Its totient is φ = 47603200.

The previous prime is 120202081. The next prime is 120202123. The reversal of 120202120 is 21202021.

It can be written as a sum of positive squares in 4 ways, for example, as 117635716 + 2566404 = 10846^2 + 1602^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 120202097 and 120202106.

It is not an unprimeable number, because it can be changed into a prime (120202123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10837 + ... + 18916.

Almost surely, 2120202120 is an apocalyptic number.

120202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120202120 is an abundant number, since it is smaller than the sum of its proper divisors (152939600).

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

120202120 is a wasteful number, since it uses less digits than its factorization.

120202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29865 (or 29861 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 120202120 is about 10963.6727422885. The cubic root of 120202120 is about 493.5191877452.

Adding to 120202120 its reverse (21202021), we get a palindrome (141404141).

Subtracting from 120202120 its reverse (21202021), we obtain a palindrome (99000099).

The spelling of 120202120 in words is "one hundred twenty million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 101 202 404 505 808 1010 2020 4040 29753 59506 119012 148765 238024 297530 595060 1190120 3005053 6010106 12020212 15025265 24040424 30050530 60101060 120202120