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1121131100 = 225219678807
BaseRepresentation
bin100001011010011…
…0001101001011100
32220010121100202002
41002310301221130
54244002143400
6303125421432
736532312535
oct10264615134
92803540662
101121131100
11525938431
1227356a878
1314b36bbab
14a8c7d68c
156865bed5
hex42d31a5c

1121131100 has 72 divisors (see below), whose sum is σ = 2599416960. Its totient is φ = 418461120.

The previous prime is 1121131069. The next prime is 1121131189. The reversal of 1121131100 is 11311211.

It is a happy number.

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, 122897 + ... + 131703.

Almost surely, 21121131100 is an apocalyptic number.

1121131100 is a gapful number since it is divisible by the number (10) 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 1121131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299708480).

1121131100 is an abundant number, since it is smaller than the sum of its proper divisors (1478285860).

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

1121131100 is a wasteful number, since it uses less digits than its factorization.

1121131100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8907 (or 8900 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

The square root of 1121131100 is about 33483.2958353863. The cubic root of 1121131100 is about 1038.8482997774.

Adding to 1121131100 its reverse (11311211), we get a palindrome (1132442311).

The spelling of 1121131100 in words is "one billion, one hundred twenty-one million, one hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 67 76 95 100 134 190 268 335 380 475 670 950 1273 1340 1675 1900 2546 3350 5092 6365 6700 8807 12730 17614 25460 31825 35228 44035 63650 88070 127300 167333 176140 220175 334666 440350 590069 669332 836665 880700 1180138 1673330 2360276 2950345 3346660 4183325 5900690 8366650 11211311 11801380 14751725 16733300 22422622 29503450 44845244 56056555 59006900 112113110 224226220 280282775 560565550 1121131100