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11204022132 = 22325357710177
BaseRepresentation
bin10100110111100111…
…11100111101110100
31001220211100021222200
422123303330331310
5140421212202012
65051433024500
7544434421362
oct123363747564
931824307880
1011204022132
11482a418726
122208255130
13109728c5c4
1478401c632
154589403dc
hex29bcfcf74

11204022132 has 72 divisors (see below), whose sum is σ = 28908491976. Its totient is φ = 3657498624.

The previous prime is 11204022119. The next prime is 11204022143. The reversal of 11204022132 is 23122040211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7290768996 + 3913253136 = 85386^2 + 62556^2 .

It is a super-2 number, since 2×112040221322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1095828 + ... + 1106004.

It is an arithmetic number, because the mean of its divisors is an integer number (401506833).

Almost surely, 211204022132 is an apocalyptic number.

11204022132 is a gapful number since it is divisible by the number (12) 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 11204022132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14454245988).

11204022132 is an abundant number, since it is smaller than the sum of its proper divisors (17704469844).

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

11204022132 is a wasteful number, since it uses less digits than its factorization.

11204022132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10817 (or 10812 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11204022132 its reverse (23122040211), we get a palindrome (34326062343).

The spelling of 11204022132 in words is "eleven billion, two hundred four million, twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 577 636 954 1154 1731 1908 2308 3462 5193 6924 10177 10386 20354 20772 30531 30581 40708 61062 61162 91593 91743 122124 122324 183186 183486 275229 366372 366972 539381 550458 1078762 1100916 1618143 2157524 3236286 4854429 5872129 6472572 9708858 11744258 17616387 19417716 23488516 35232774 52849161 70465548 105698322 211396644 311222837 622445674 933668511 1244891348 1867337022 2801005533 3734674044 5602011066 11204022132