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1210010120 = 235117013923
BaseRepresentation
bin100100000011111…
…0100101000001000
310010022211212211122
41020013310220020
54434230310440
6320022414412
741661626204
oct11007645010
93108755748
101210010120
11571023570
12299291408
131638ba827
14b69b7b04
15713667b5
hex481f4a08

1210010120 has 64 divisors (see below), whose sum is σ = 2975019840. Its totient is φ = 439264000.

The previous prime is 1210010119. The next prime is 1210010141. The reversal of 1210010120 is 210100121.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 1210010098 and 1210010107.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 306479 + ... + 310401.

It is an arithmetic number, because the mean of its divisors is an integer number (46484685).

Almost surely, 21210010120 is an apocalyptic number.

1210010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1210010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487509920).

1210010120 is an abundant number, since it is smaller than the sum of its proper divisors (1765009720).

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

1210010120 is a wasteful number, since it uses less digits than its factorization.

1210010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4646 (or 4642 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1210010120 is about 34785.1997263204. The cubic root of 1210010120 is about 1065.6052075282.

Adding to 1210010120 its reverse (210100121), we get a palindrome (1420110241).

Subtracting from 1210010120 its reverse (210100121), we obtain a palindrome (999909999).

It can be divided in two parts, 12100101 and 20, that added together give a palindrome (12100121).

The spelling of 1210010120 in words is "one billion, two hundred ten million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 701 1402 2804 3505 3923 5608 7010 7711 7846 14020 15422 15692 19615 28040 30844 31384 38555 39230 43153 61688 77110 78460 86306 154220 156920 172612 215765 308440 345224 431530 863060 1726120 2750023 5500046 11000092 13750115 22000184 27500230 30250253 55000460 60500506 110000920 121001012 151251265 242002024 302502530 605005060 1210010120