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105252202200 = 23352175420337
BaseRepresentation
bin110001000000110000…
…1010010011011011000
3101001200012120212012010
41202001201102123120
53211024030432300
6120204023545520
710414150646235
oct1420141223330
9331605525163
10105252202200
1140701140382
12184948bb2a0
139c049a21b2
14514681278c
152b103aca50
hex18818526d8

105252202200 has 48 divisors (see below), whose sum is σ = 326281828680. Its totient is φ = 28067253760.

The previous prime is 105252202189. The next prime is 105252202241. The reversal of 105252202200 is 2202252501.

It is a super-2 number, since 2×1052522022002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87709569 + ... + 87710768.

Almost surely, 2105252202200 is an apocalyptic number.

105252202200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105252202200 is an abundant number, since it is smaller than the sum of its proper divisors (221029626480).

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

105252202200 is a wasteful number, since it uses less digits than its factorization.

105252202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175420356 (or 175420347 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

Adding to 105252202200 its reverse (2202252501), we get a palindrome (107454454701).

The spelling of 105252202200 in words is "one hundred five billion, two hundred fifty-two million, two hundred two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 175420337 350840674 526261011 701681348 877101685 1052522022 1403362696 1754203370 2105044044 2631305055 3508406740 4210088088 4385508425 5262610110 7016813480 8771016850 10525220220 13156525275 17542033700 21050440440 26313050550 35084067400 52626101100 105252202200