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131020203230320 = 24531138511381419
BaseRepresentation
bin11101110010100110000100…
…101011000000010001110000
3122011220102001020101011002111
4131302212010223000101300
5114133113334011332240
61142353503405455104
736411616530114565
oct3562460453002160
9564812036334074
10131020203230320
11388243a1041088
1212840714b71494
1358151c9374081
14244d5a98b086c
1510232098221ea
hex772984ac0470

131020203230320 has 80 divisors (see below), whose sum is σ = 314451582382080. Its totient is φ = 50716998892800.

The previous prime is 131020203230261. The next prime is 131020203230321. The reversal of 131020203230320 is 23032302020131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 131020203230291 and 131020203230300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131020203230321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 343316571 + ... + 343697989.

It is an arithmetic number, because the mean of its divisors is an integer number (3930644779776).

Almost surely, 2131020203230320 is an apocalyptic number.

131020203230320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131020203230320 is an abundant number, since it is smaller than the sum of its proper divisors (183431379151760).

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

131020203230320 is a wasteful number, since it uses less digits than its factorization.

131020203230320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519974 (or 519968 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 131020203230320 its reverse (23032302020131), we get a palindrome (154052505250451).

The spelling of 131020203230320 in words is "one hundred thirty-one trillion, twenty billion, two hundred three million, two hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2480 138511 277022 381419 554044 692555 762838 1108088 1385110 1525676 1907095 2216176 2770220 3051352 3814190 4293841 5540440 6102704 7628380 8587682 11080880 11823989 15256760 17175364 21469205 23647978 30513520 34350728 42938410 47295956 59119945 68701456 85876820 94591912 118239890 171753640 189183824 236479780 343507280 472959560 945919120 52830727109 105661454218 211322908436 264153635545 422645816872 528307271090 845291633744 1056614542180 1637752540379 2113229084360 3275505080758 4226458168720 6551010161516 8188762701895 13102020323032 16377525403790 26204040646064 32755050807580 65510101615160 131020203230320