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1011131220 = 2235111532017
BaseRepresentation
bin111100010001001…
…010001101010100
32121110121210021110
4330101022031110
54032322144340
6244200015020
734025321301
oct7421121524
92543553243
101011131220
11479836940
12242761470
131316368c8
14984080a8
155db7e680
hex3c44a354

1011131220 has 48 divisors (see below), whose sum is σ = 3088548288. Its totient is φ = 245122560.

The previous prime is 1011131213. The next prime is 1011131239. The reversal of 1011131220 is 221311101.

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

It is a junction number, because it is equal to n+sod(n) for n = 1011131196 and 1011131205.

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 15 ways as a sum of consecutive naturals, for example, 765349 + ... + 766668.

It is an arithmetic number, because the mean of its divisors is an integer number (64344756).

Almost surely, 21011131220 is an apocalyptic number.

1011131220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011131220 is an abundant number, since it is smaller than the sum of its proper divisors (2077417068).

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

1011131220 is a wasteful number, since it uses less digits than its factorization.

1011131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532040 (or 1532038 counting only the distinct ones).

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

The square root of 1011131220 is about 31798.2895766423. The cubic root of 1011131220 is about 1003.6967240584.

Adding to 1011131220 its reverse (221311101), we get a palindrome (1232442321).

It can be divided in two parts, 1011 and 131220, that added together give a palindrome (132231).

The spelling of 1011131220 in words is "one billion, eleven million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1532017 3064034 4596051 6128068 7660085 9192102 15320170 16852187 18384204 22980255 30640340 33704374 45960510 50556561 67408748 84260935 91921020 101113122 168521870 202226244 252782805 337043740 505565610 1011131220