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100000122001110 = 232537122324554429
BaseRepresentation
bin10110101111001100010111…
…101111111101011011010110
3111010001220210102212211100100
4112233030113233331123112
5101101400222213013420
6552403231041354530
730030525150136512
oct2657142757753326
9433056712784310
10100000122001110
11299548a4965441
12b27083a638a46
1343a4c814c0956
141a9a0630cd142
15b8637536d190
hex5af317bfd6d6

100000122001110 has 96 divisors (see below), whose sum is σ = 267245701669440. Its totient is φ = 25924761517824.

The previous prime is 100000122001067. The next prime is 100000122001159. The reversal of 100000122001110 is 11100221000001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100000122001092 and 100000122001101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8204625 + ... + 16349804.

It is an arithmetic number, because the mean of its divisors is an integer number (2783809392390).

Almost surely, 2100000122001110 is an apocalyptic number.

100000122001110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100000122001110 is an abundant number, since it is smaller than the sum of its proper divisors (167245579668330).

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

100000122001110 is a wasteful number, since it uses less digits than its factorization.

100000122001110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24555702 (or 24555699 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100000122001110 its reverse (11100221000001), we get a palindrome (111100343001111).

The spelling of 100000122001110 in words is "one hundred trillion, one hundred twenty-two million, one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1223 1665 2446 3330 3669 6115 7338 11007 12230 18345 22014 36690 45251 55035 90502 110070 135753 226255 271506 407259 452510 678765 814518 1357530 2036295 4072590 24554429 49108858 73663287 122772145 147326574 220989861 245544290 368316435 441979722 736632870 908513873 1104949305 1817027746 2209898610 2725541619 4542569365 5451083238 8176624857 9085138730 13627708095 16353249714 27255416190 30030066667 40883124285 60060133334 81766248570 90090200001 150150333335 180180400002 270270600003 300300666670 450451000005 540541200006 900902000010 1111112466679 1351353000015 2222224933358 2702706000030 3333337400037 5555562333395 6666674800074 10000012200111 11111124666790 16666687000185 20000024400222 33333374000370 50000061000555 100000122001110