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10012222301100 = 2235241598024543
BaseRepresentation
bin1001000110110010011011…
…1101000010001110101100
31022110011021222122110221220
42101230212331002032230
52303020012402113400
633143315035223340
72052234126240225
oct221544675021654
938404258573856
1010012222301100
11321018351a808
121158528ba7b50
135781c1384c56
1426884649624c
15125692e757a0
hex91b26f423ac

10012222301100 has 72 divisors (see below), whose sum is σ = 28975665438720. Its totient is φ = 2669283650880.

The previous prime is 10012222301083. The next prime is 10012222301111. The reversal of 10012222301100 is 110322221001.

It is a super-2 number, since 2×100122223011002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10012222301100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2764572 + ... + 5259971.

It is an arithmetic number, because the mean of its divisors is an integer number (402439797760).

Almost surely, 210012222301100 is an apocalyptic number.

10012222301100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012222301100 is an abundant number, since it is smaller than the sum of its proper divisors (18963443137620).

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

10012222301100 is a wasteful number, since it uses less digits than its factorization.

10012222301100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8028719 (or 8028712 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10012222301100 its reverse (110322221001), we get a palindrome (10122544522101).

The spelling of 10012222301100 in words is "ten trillion, twelve billion, two hundred twenty-two million, three hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 4159 8318 12477 16636 20795 24954 41590 49908 62385 83180 103975 124770 207950 249540 311925 415900 623850 1247700 8024543 16049086 24073629 32098172 40122715 48147258 80245430 96294516 120368145 160490860 200613575 240736290 401227150 481472580 601840725 802454300 1203681450 2407362900 33374074337 66748148674 100122223011 133496297348 166870371685 200244446022 333740743370 400488892044 500611115055 667481486740 834351858425 1001222230110 1668703716850 2002444460220 2503055575275 3337407433700 5006111150550 10012222301100