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1210120100 = 2252713912437
BaseRepresentation
bin100100000100000…
…1111011110100100
310010100001110200222
41020020033132210
54434242320400
6320025023512
741662564640
oct11010173644
93110043628
101210120100
11571099162
12299324b98
131639288c7
14b6a05c20
1571389185
hex4820f7a4

1210120100 has 72 divisors (see below), whose sum is σ = 3022931520. Its totient is φ = 411880320.

The previous prime is 1210120099. The next prime is 1210120103. The reversal of 1210120100 is 10210121.

It is not an unprimeable number, because it can be changed into a prime (1210120103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91082 + ... + 103518.

It is an arithmetic number, because the mean of its divisors is an integer number (41985160).

Almost surely, 21210120100 is an apocalyptic number.

1210120100 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 1210120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511465760).

1210120100 is an abundant number, since it is smaller than the sum of its proper divisors (1812811420).

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

1210120100 is a wasteful number, since it uses less digits than its factorization.

1210120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12597 (or 12590 counting only the distinct ones).

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

The square root of 1210120100 is about 34786.7805351401. The cubic root of 1210120100 is about 1065.6374914759.

Adding to 1210120100 its reverse (10210121), we get a palindrome (1220330221).

The spelling of 1210120100 in words is "one billion, two hundred ten million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 139 140 175 278 350 556 695 700 973 1390 1946 2780 3475 3892 4865 6950 9730 12437 13900 19460 24325 24874 48650 49748 62185 87059 97300 124370 174118 248740 310925 348236 435295 621850 870590 1243700 1728743 1741180 2176475 3457486 4352950 6914972 8643715 8705900 12101201 17287430 24202402 34574860 43218575 48404804 60506005 86437150 121012010 172874300 242024020 302530025 605060050 1210120100