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11330012100 = 223521117201961
BaseRepresentation
bin10101000110101001…
…00100001111000100
31002020121102020201210
422203110210033010
5141200440341400
65112133251420
7550524341151
oct124324441704
932217366653
1011330012100
114894550870
122242493b70
1310b7402a94
14796a57228
15464a2a950
hex2a35243c4

11330012100 has 144 divisors (see below), whose sum is σ = 37865451456. Its totient is φ = 2585088000.

The previous prime is 11330012063. The next prime is 11330012101. The reversal of 11330012100 is 121003311.

It is a super-2 number, since 2×113300121002 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (11330012101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44881 + ... + 157080.

It is an arithmetic number, because the mean of its divisors is an integer number (262954524).

Almost surely, 211330012100 is an apocalyptic number.

11330012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11330012100 is an abundant number, since it is smaller than the sum of its proper divisors (26535439356).

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

11330012100 is a wasteful number, since it uses less digits than its factorization.

11330012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202006 (or 201999 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 11330012100 its reverse (121003311), we get a palindrome (11451015411).

The spelling of 11330012100 in words is "eleven billion, three hundred thirty million, twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 25 30 33 34 44 50 51 55 60 66 68 75 85 100 102 110 132 150 165 170 187 204 220 255 275 300 330 340 374 425 510 550 561 660 748 825 850 935 1020 1100 1122 1275 1650 1700 1870 2244 2550 2805 3300 3740 4675 5100 5610 9350 11220 14025 18700 28050 56100 201961 403922 605883 807844 1009805 1211766 2019610 2221571 2423532 3029415 3433337 4039220 4443142 5049025 6058830 6664713 6866674 8886284 10098050 10300011 11107855 12117660 13329426 13733348 15147075 17166685 20196100 20600022 22215710 26658852 30294150 33323565 34333370 37766707 41200044 44431420 51500055 55539275 60588300 66647130 68666740 75533414 85833425 103000110 111078550 113300121 133294260 151066828 166617825 171666850 188833535 206000220 222157100 226600242 257500275 333235650 343333700 377667070 453200484 515000550 566500605 666471300 755334140 944167675 1030001100 1133001210 1888335350 2266002420 2832503025 3776670700 5665006050 11330012100