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11142222100 = 2252269414209
BaseRepresentation
bin10100110000010000…
…01101000100010100
31001202112001112021121
422120020031010110
5140304402101400
65041344253324
7543054216352
oct123010150424
931675045247
1011142222100
1147a8548419
1221ab611244
131087532239
14779b327d2
154532d421a
hex29820d114

11142222100 has 36 divisors (see below), whose sum is σ = 24268563900. Its totient is φ = 4440309760.

The previous prime is 11142222061. The next prime is 11142222101. The reversal of 11142222100 is 122224111.

It can be written as a sum of positive squares in 6 ways, for example, as 2452626576 + 8689595524 = 49524^2 + 93218^2 .

It is a super-2 number, since 2×111422221002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11142222101) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 180205 + ... + 234004.

It is an arithmetic number, because the mean of its divisors is an integer number (674126775).

Almost surely, 211142222100 is an apocalyptic number.

11142222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11142222100 is an abundant number, since it is smaller than the sum of its proper divisors (13126341800).

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

11142222100 is a wasteful number, since it uses less digits than its factorization.

11142222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414492 (or 414485 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11142222100 its reverse (122224111), we get a palindrome (11264446211).

The spelling of 11142222100 in words is "eleven billion, one hundred forty-two million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 269 538 1076 1345 2690 5380 6725 13450 26900 414209 828418 1656836 2071045 4142090 8284180 10355225 20710450 41420900 111422221 222844442 445688884 557111105 1114222210 2228444420 2785555525 5571111050 11142222100