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132201013200 = 24352110167511
BaseRepresentation
bin111101100011111001…
…0110101111111010000
3110122020022112022010020
41323013302311333100
54131221424410300
6140422102303440
712360031033314
oct1730762657720
9418208468106
10132201013200
1151080030a03
1221755a27b80
13c60ab9c3c9
14658192bb44
15368b1d08a0
hex1ec7cb5fd0

132201013200 has 60 divisors (see below), whose sum is σ = 423483916128. Its totient is φ = 35253603200.

The previous prime is 132201013169. The next prime is 132201013211. The reversal of 132201013200 is 2310102231.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×1322010132002 (a number of 23 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 132201013200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55082556 + ... + 55084955.

Almost surely, 2132201013200 is an apocalyptic number.

132201013200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132201013200 is an abundant number, since it is smaller than the sum of its proper divisors (291282902928).

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

132201013200 is a wasteful number, since it uses less digits than its factorization.

132201013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110167532 (or 110167521 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 132201013200 its reverse (2310102231), we get a palindrome (134511115431).

The spelling of 132201013200 in words is "one hundred thirty-two billion, two hundred one million, thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 110167511 220335022 330502533 440670044 550837555 661005066 881340088 1101675110 1322010132 1652512665 1762680176 2203350220 2644020264 2754187775 3305025330 4406700440 5288040528 5508375550 6610050660 8262563325 8813400880 11016751100 13220101320 16525126650 22033502200 26440202640 33050253300 44067004400 66100506600 132201013200