Search a number
-
+
1311122100 = 223524370407
BaseRepresentation
bin100111000100110…
…0010001010110100
310101101002220101210
41032021202022310
510141121401400
6334033521420
744330232261
oct11611421264
93341086353
101311122100
11613104492
12307113270
1317b8304c2
14c61b8268
157a18a950
hex4e2622b4

1311122100 has 36 divisors (see below), whose sum is σ = 3793514144. Its totient is φ = 349632480.

The previous prime is 1311122089. The next prime is 1311122117. The reversal of 1311122100 is 12211131.

It is a super-2 number, since 2×13111221002 = 3438082322216820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2184904 + ... + 2185503.

Almost surely, 21311122100 is an apocalyptic number.

1311122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311122100 is an abundant number, since it is smaller than the sum of its proper divisors (2482392044).

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

1311122100 is a wasteful number, since it uses less digits than its factorization.

1311122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4370424 (or 4370417 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 1311122100 is about 36209.4200450656. The cubic root of 1311122100 is about 1094.4965054546.

Adding to 1311122100 its reverse (12211131), we get a palindrome (1323333231).

The spelling of 1311122100 in words is "one billion, three hundred eleven million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 4370407 8740814 13111221 17481628 21852035 26222442 43704070 52444884 65556105 87408140 109260175 131112210 218520350 262224420 327780525 437040700 655561050 1311122100