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131201332322000 = 245365600666161
BaseRepresentation
bin11101110101001110110000…
…110011101001111011010000
3122012112201120102201100221112
4131311032300303221323100
5114144100312033301000
61143013020542512452
736430661216024303
oct3565166063517320
9565481512640845
10131201332322000
1138894199758586
121286b844895728
135829303bb39b5
14245826d61cb3a
151027cab20b235
hex7753b0ce9ed0

131201332322000 has 40 divisors (see below), whose sum is σ = 317244821559432. Its totient is φ = 52480532928000.

The previous prime is 131201332321993. The next prime is 131201332322069. The reversal of 131201332322000 is 223233102131.

It can be written as a sum of positive squares in 4 ways, for example, as 20138230654096 + 111063101667904 = 4487564^2 + 10538648^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32800331081 + ... + 32800335080.

Almost surely, 2131201332322000 is an apocalyptic number.

131201332322000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131201332322000 is an abundant number, since it is smaller than the sum of its proper divisors (186043489237432).

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

131201332322000 is an equidigital number, since it uses as much as digits as its factorization.

131201332322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65600666184 (or 65600666168 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 131201332322000 its reverse (223233102131), we get a palindrome (131424565424131).

The spelling of 131201332322000 in words is "one hundred thirty-one trillion, two hundred one billion, three hundred thirty-two million, three hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 65600666161 131201332322 262402664644 328003330805 524805329288 656006661610 1049610658576 1312013323220 1640016654025 2624026646440 3280033308050 5248053292880 6560066616100 8200083270125 13120133232200 16400166540250 26240266464400 32800333080500 65600666161000 131201332322000