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1132121100 = 2235211349983
BaseRepresentation
bin100001101111010…
…1100110000001100
32220220021201012010
41003132230300030
54304310333400
6304201141220
740024604415
oct10336546014
92826251163
101132121100
11531064380
1227718a810
13150719256
14aa50080c
15695cd450
hex437acc0c

1132121100 has 144 divisors (see below), whose sum is σ = 3587270400. Its totient is φ = 273388800.

The previous prime is 1132121083. The next prime is 1132121173. The reversal of 1132121100 is 11212311.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1151209 + ... + 1152191.

It is an arithmetic number, because the mean of its divisors is an integer number (24911600).

Almost surely, 21132121100 is an apocalyptic number.

1132121100 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 1132121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793635200).

1132121100 is an abundant number, since it is smaller than the sum of its proper divisors (2455149300).

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

1132121100 is a wasteful number, since it uses less digits than its factorization.

1132121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1353 counting only the distinct ones).

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

The square root of 1132121100 is about 33647.0072963406. The cubic root of 1132121100 is about 1042.2317397737.

Adding to 1132121100 its reverse (11212311), we get a palindrome (1143333411).

The spelling of 1132121100 in words is "one billion, one hundred thirty-two million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 349 550 660 698 825 983 1047 1100 1396 1650 1745 1966 2094 2949 3300 3490 3839 3932 4188 4915 5235 5898 6980 7678 8725 9830 10470 10813 11517 11796 14745 15356 17450 19195 19660 20940 21626 23034 24575 26175 29490 32439 34900 38390 43252 46068 49150 52350 54065 57585 58980 64878 73725 76780 95975 98300 104700 108130 115170 129756 147450 162195 191950 216260 230340 270325 287925 294900 324390 343067 383900 540650 575850 648780 686134 810975 1029201 1081300 1151700 1372268 1621950 1715335 2058402 3243900 3430670 3773737 4116804 5146005 6861340 7547474 8576675 10292010 11321211 15094948 17153350 18868685 20584020 22642422 25730025 34306700 37737370 45284844 51460050 56606055 75474740 94343425 102920100 113212110 188686850 226424220 283030275 377373700 566060550 1132121100