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131003122211232 = 2531364615856367
BaseRepresentation
bin11101110010010110001010…
…100100000101100110100000
3122011211202221211102110212220
4131302112022210011212200
5114132323343241224412
61142342000432151040
736410443330624245
oct3562261244054640
9564752854373786
10131003122211232
1138818126275687
1212839348698480
13581370665479b
14244c8291415cc
151022a59e9468c
hex77258a9059a0

131003122211232 has 24 divisors (see below), whose sum is σ = 343883195804736. Its totient is φ = 43667707403712.

The previous prime is 131003122211177. The next prime is 131003122211239. The reversal of 131003122211232 is 232112221300131.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (131003122211239) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 682307928088 + ... + 682307928279.

It is an arithmetic number, because the mean of its divisors is an integer number (14328466491864).

Almost surely, 2131003122211232 is an apocalyptic number.

131003122211232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131003122211232 is an abundant number, since it is smaller than the sum of its proper divisors (212880073593504).

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

131003122211232 is a wasteful number, since it uses less digits than its factorization.

131003122211232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364615856380 (or 1364615856372 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 131003122211232 its reverse (232112221300131), we get a palindrome (363115343511363).

The spelling of 131003122211232 in words is "one hundred thirty-one trillion, three billion, one hundred twenty-two million, two hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1364615856367 2729231712734 4093847569101 5458463425468 8187695138202 10916926850936 16375390276404 21833853701872 32750780552808 43667707403744 65501561105616 131003122211232