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131343220010440 = 23517672882862599
BaseRepresentation
bin11101110111010010111001…
…111110001110110111001000
3122020001021210211102202102101
4131313102321332032313020
5114203411403310313230
61143202124200243144
736444143301335404
oct3567227176166710
9566037724382371
10131343220010440
113893938a648a09
12128932427704b4
1358397c68887a9
14246108d82c104
15102b812a07aca
hex7774b9f8edc8

131343220010440 has 64 divisors (see below), whose sum is σ = 317576144016000. Its totient is φ = 48708846455808.

The previous prime is 131343220010437. The next prime is 131343220010447. The reversal of 131343220010440 is 44010022343131.

It is a happy number.

131343220010440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 131343220010399 and 131343220010408.

It is not an unprimeable number, because it can be changed into a prime (131343220010447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1441385740 + ... + 1441476859.

It is an arithmetic number, because the mean of its divisors is an integer number (4962127250250).

Almost surely, 2131343220010440 is an apocalyptic number.

131343220010440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131343220010440 is an abundant number, since it is smaller than the sum of its proper divisors (186232924005560).

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

131343220010440 is a wasteful number, since it uses less digits than its factorization.

131343220010440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2882862694 (or 2882862690 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 131343220010440 its reverse (44010022343131), we get a palindrome (175353242353571).

The spelling of 131343220010440 in words is "one hundred thirty-one trillion, three hundred forty-three billion, two hundred twenty million, ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 67 68 85 134 136 170 268 335 340 536 670 680 1139 1340 2278 2680 4556 5695 9112 11390 22780 45560 2882862599 5765725198 11531450396 14414312995 23062900792 28828625990 49008664183 57657251980 98017328366 115314503960 193151794133 196034656732 245043320915 386303588266 392069313464 490086641830 772607176532 965758970665 980173283660 1545214353064 1931517941330 1960346567320 3283580500261 3863035882660 6567161000522 7726071765320 13134322001044 16417902501305 26268644002088 32835805002610 65671610005220 131343220010440