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1212313100 = 2252291014139
BaseRepresentation
bin100100001000010…
…0110111000001100
310010111011212221012
41020100212320030
54440323004400
6320144024352
742020330345
oct11020467014
93114155835
101212313100
11572356859
1229a0020b8
13164215b3b
14b70170cc
157166dd35
hex48426e0c

1212313100 has 72 divisors (see below), whose sum is σ = 2749042800. Its totient is φ = 463456000.

The previous prime is 1212313073. The next prime is 1212313111. The reversal of 1212313100 is 13132121.

It is a super-2 number, since 2×12123131002 = 2939406104863220000, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 290831 + ... + 294969.

It is an arithmetic number, because the mean of its divisors is an integer number (38181150).

Almost surely, 21212313100 is an apocalyptic number.

1212313100 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 1212313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374521400).

1212313100 is an abundant number, since it is smaller than the sum of its proper divisors (1536729700).

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

1212313100 is a wasteful number, since it uses less digits than its factorization.

1212313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4283 (or 4276 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1212313100 is about 34818.2868619351. The cubic root of 1212313100 is about 1066.2808250744.

Adding to 1212313100 its reverse (13132121), we get a palindrome (1225445221).

The spelling of 1212313100 in words is "one billion, two hundred twelve million, three hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 101 116 145 202 290 404 505 580 725 1010 1450 2020 2525 2900 2929 4139 5050 5858 8278 10100 11716 14645 16556 20695 29290 41390 58580 73225 82780 103475 120031 146450 206950 240062 292900 413900 418039 480124 600155 836078 1200310 1672156 2090195 2400620 3000775 4180390 6001550 8360780 10450975 12003100 12123131 20901950 24246262 41803900 48492524 60615655 121231310 242462620 303078275 606156550 1212313100