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132233201010131 = 13149151823549331
BaseRepresentation
bin11110000100001111110000…
…111110010100010111010011
3122100012101000010200220000012
4132010033300332110113103
5114313002043424311011
61145123032141545135
736565350664120454
oct3604176076242723
9570171003626005
10132233201010131
1139151870726561
12129b781b5751ab
1358a26ca734040
14249219a34712b
151044a50671a8b
hex7843f0f945d3

132233201010131 has 32 divisors (see below), whose sum is σ = 144485742105600. Its totient is φ = 120292722864000.

The previous prime is 132233201010089. The next prime is 132233201010203. The reversal of 132233201010131 is 131010102332231.

It is a cyclic number.

It is not a de Polignac number, because 132233201010131 - 222 = 132233196815827 is a prime.

It is a super-2 number, since 2×1322332010101312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132233201010097 and 132233201010106.

It is not an unprimeable number, because it can be changed into a prime (132233201010431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240442136 + ... + 240991466.

It is an arithmetic number, because the mean of its divisors is an integer number (4515179440800).

Almost surely, 2132233201010131 is an apocalyptic number.

132233201010131 is a deficient number, since it is larger than the sum of its proper divisors (12252541095469).

132233201010131 is a wasteful number, since it uses less digits than its factorization.

132233201010131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550467.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 132233201010131 its reverse (131010102332231), we get a palindrome (263243303342362).

The spelling of 132233201010131 in words is "one hundred thirty-two trillion, two hundred thirty-three billion, two hundred one million, ten thousand, one hundred thirty-one".

Divisors: 1 13 149 151 823 1937 1963 10699 22499 122627 124273 292487 549331 1594151 1615549 7141303 18516677 81850319 82948981 240716801 452099413 1064054147 1078336753 5877292369 12359398169 67362812537 68267011363 160672176197 875716562981 887471147719 10171784693087 132233201010131