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81051432200 = 23524124912
BaseRepresentation
bin100101101111100001…
…0101011010100001000
321202012121120100211022
41023133002223110020
52311443131312300
6101122353252012
75566346543414
oct1133702532410
9252177510738
1081051432200
1131412469712
121385bb64008
137848c0c24b
143ccc673d44
15219595e285
hex12df0ab508

81051432200 has 108 divisors (see below), whose sum is σ = 193547079735. Its totient is φ = 31565408000.

The previous prime is 81051432191. The next prime is 81051432281. The reversal of 81051432200 is 223415018.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 510127396 + 80541304804 = 22586^2 + 283798^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=201310.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 81051432200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 165073955 + ... + 165074445.

Almost surely, 281051432200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81051432200

81051432200 is an abundant number, since it is smaller than the sum of its proper divisors (112495647535).

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

81051432200 is an equidigital number, since it uses as much as digits as its factorization.

81051432200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 81051432200 its reverse (223415018), we get a palindrome (81274847218).

The spelling of 81051432200 in words is "eighty-one billion, fifty-one million, four hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 491 820 982 1025 1640 1681 1964 2050 2455 3362 3928 4100 4910 6724 8200 8405 9820 12275 13448 16810 19640 20131 24550 33620 40262 42025 49100 67240 80524 84050 98200 100655 161048 168100 201310 241081 336200 402620 482162 503275 805240 825371 964324 1006550 1205405 1650742 1928648 2013100 2410810 3301484 4026200 4126855 4821620 6027025 6602968 8253710 9643240 9884321 12054050 16507420 19768642 20634275 24108100 33014840 39537284 41268550 48216200 49421605 79074568 82537100 98843210 165074200 197686420 247108025 395372840 405257161 494216050 810514322 988432100 1621028644 1976864200 2026285805 3242057288 4052571610 8105143220 10131429025 16210286440 20262858050 40525716100 81051432200