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12101213100 = 22352231753799
BaseRepresentation
bin10110100010100100…
…11101101110101100
31011020100120022121210
423101102131232230
5144240402304400
65320442554420
7605610420444
oct132122355654
934210508553
1012101213100
11514a901569
122418808a10
1311ab111532
1482b247124
154ac5b4950
hex2d149dbac

12101213100 has 72 divisors (see below), whose sum is σ = 36535161600. Its totient is φ = 3086684480.

The previous prime is 12101213063. The next prime is 12101213101. The reversal of 12101213100 is 131210121.

It is a super-2 number, since 2×121012131002 (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 (12101213101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 870000 + ... + 883799.

It is an arithmetic number, because the mean of its divisors is an integer number (507432800).

Almost surely, 212101213100 is an apocalyptic number.

12101213100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12101213100 is an abundant number, since it is smaller than the sum of its proper divisors (24433948500).

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

12101213100 is a wasteful number, since it uses less digits than its factorization.

12101213100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1753839 (or 1753832 counting only the distinct ones).

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

Adding to 12101213100 its reverse (131210121), we get a palindrome (12232423221).

The spelling of 12101213100 in words is "twelve billion, one hundred one million, two hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 2300 3450 6900 1753799 3507598 5261397 7015196 8768995 10522794 17537990 21045588 26306985 35075980 40337377 43844975 52613970 80674754 87689950 105227940 121012131 131534925 161349508 175379900 201686885 242024262 263069850 403373770 484048524 526139700 605060655 806747540 1008434425 1210121310 2016868850 2420242620 3025303275 4033737700 6050606550 12101213100