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1123100012100 = 22352111013369637
BaseRepresentation
bin10000010101111101111…
…110100010111001000100
310222100220202210222010110
4100111331332202321010
5121400102100341400
62215540042553020
7144066315406413
oct20257576427104
93870822728113
101123100012100
113a333874aa90
121617b7b08770
1381ba57b35a1
143c50338b47a
151e333968e50
hex1057dfa2e44

1123100012100 has 144 divisors (see below), whose sum is σ = 3580011239616. Its totient is φ = 269570880000.

The previous prime is 1123100012093. The next prime is 1123100012113. The reversal of 1123100012100 is 12100013211.

It is a super-2 number, since 2×11231000121002 (a number of 25 digits) contains 22 as substring.

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, 1351519 + ... + 2018118.

It is an arithmetic number, because the mean of its divisors is an integer number (24861189164).

Almost surely, 21123100012100 is an apocalyptic number.

1123100012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1123100012100 is an abundant number, since it is smaller than the sum of its proper divisors (2456911227516).

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

1123100012100 is a wasteful number, since it uses less digits than its factorization.

1123100012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3369766 (or 3369759 counting only the distinct ones).

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

Adding to 1123100012100 its reverse (12100013211), we get a palindrome (1135200025311).

The spelling of 1123100012100 in words is "one trillion, one hundred twenty-three billion, one hundred million, twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 101 110 132 150 165 202 220 275 300 303 330 404 505 550 606 660 825 1010 1100 1111 1212 1515 1650 2020 2222 2525 3030 3300 3333 4444 5050 5555 6060 6666 7575 10100 11110 13332 15150 16665 22220 27775 30300 33330 55550 66660 83325 111100 166650 333300 3369637 6739274 10108911 13478548 16848185 20217822 33696370 37066007 40435644 50544555 67392740 74132014 84240925 101089110 111198021 148264028 168481850 185330035 202178220 222396042 252722775 336963700 340333337 370660070 444792084 505445550 555990105 680666674 741320140 926650175 1010891100 1021000011 1111980210 1361333348 1701666685 1853300350 2042000022 2223960420 2779950525 3403333370 3706600700 3743666707 4084000044 5105000055 5559901050 6806666740 7487333414 8508333425 10210000110 11119802100 11231000121 14974666828 17016666850 18718333535 20420000220 22462000242 25525000275 34033333700 37436667070 44924000484 51050000550 56155000605 74873334140 93591667675 102100001100 112310001210 187183335350 224620002420 280775003025 374366670700 561550006050 1123100012100