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1123112332100 = 2252112175459953
BaseRepresentation
bin10000010101111110101…
…101100010101101000100
310222100221121222212222202
4100111332231202231010
5121400113224111400
62215541203014032
7144066525210653
oct20257655425504
93870847885882
101123112332100
113a33446a5200
1216180006a318
1381ba8208125
143c504c7719a
151e334a9e4d5
hex1057eb62b44

1123112332100 has 108 divisors (see below), whose sum is σ = 2836435183092. Its totient is φ = 384380620800.

The previous prime is 1123112332099. The next prime is 1123112332109. The reversal of 1123112332100 is 12332113211.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 5558895364 + 1117553436736 = 74558^2 + 1057144^2 .

It is a super-2 number, since 2×11231123321002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1123112332109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2524277 + ... + 2935676.

Almost surely, 21123112332100 is an apocalyptic number.

1123112332100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1123112332100 is an abundant number, since it is smaller than the sum of its proper divisors (1713322850992).

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

1123112332100 is a wasteful number, since it uses less digits than its factorization.

1123112332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5460006 (or 5459988 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1123112332100 its reverse (12332113211), we get a palindrome (1135444445311).

The spelling of 1123112332100 in words is "one trillion, one hundred twenty-three billion, one hundred twelve million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 121 170 187 220 242 275 340 374 425 484 550 605 748 850 935 1100 1210 1700 1870 2057 2420 3025 3740 4114 4675 6050 8228 9350 10285 12100 18700 20570 41140 51425 102850 205700 5459953 10919906 21839812 27299765 54599530 60059483 92819201 109199060 120118966 136498825 185638402 240237932 272997650 300297415 371276804 464096005 545995300 600594830 660654313 928192010 1021011211 1201189660 1321308626 1501487075 1856384020 2042022422 2320480025 2642617252 3002974150 3303271565 4084044844 4640960050 5105056055 6005948300 6606543130 9281920100 10210112110 11231123321 13213086260 16516357825 20420224220 22462246642 25525280275 33032715650 44924493284 51050560550 56155616605 66065431300 102101121100 112311233210 224622466420 280778083025 561556166050 1123112332100