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1210100112 = 243213646421
BaseRepresentation
bin100100000100000…
…1010100110010000
310010100000110021200
41020020022212100
54434241200422
6320024351200
741662452444
oct11010124620
93110013250
101210100112
11571085141
12299315500
1316391c790
14b69dc824
15713832ac
hex4820a990

1210100112 has 60 divisors (see below), whose sum is σ = 3647112924. Its totient is φ = 372337920.

The previous prime is 1210100093. The next prime is 1210100119. The reversal of 1210100112 is 2110010121.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 518199696 + 691900416 = 22764^2 + 26304^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1210100094 and 1210100103.

It is not an unprimeable number, because it can be changed into a prime (1210100119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 321339 + ... + 325082.

Almost surely, 21210100112 is an apocalyptic number.

1210100112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1210100112 is an abundant number, since it is smaller than the sum of its proper divisors (2437012812).

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

1210100112 is a wasteful number, since it uses less digits than its factorization.

1210100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646448 (or 646439 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1210100112 is about 34786.4932409118. The cubic root of 1210100112 is about 1065.6316242678.

Adding to 1210100112 its reverse (2110010121), we get a palindrome (3320110233).

The spelling of 1210100112 in words is "one billion, two hundred ten million, one hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 646421 1292842 1939263 2585684 3878526 5171368 5817789 7757052 8403473 10342736 11635578 15514104 16806946 23271156 25210419 31028208 33613892 46542312 50420838 67227784 75631257 93084624 100841676 134455568 151262514 201683352 302525028 403366704 605050056 1210100112