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323131010040 = 23325997900287
BaseRepresentation
bin1001011001111000001…
…10111110101111111000
31010220001120000002022200
410230330012332233320
520243233014310130
6404235550550200
732226326160366
oct4547406765770
91126046002280
10323131010040
11115048038523
125275bb08360
132461809b1b7
14118d51b4636
15861324b760
hex4b3c1bebf8

323131010040 has 96 divisors (see below), whose sum is σ = 1051230286080. Its totient is φ = 86081746176.

The previous prime is 323131010023. The next prime is 323131010047. The reversal of 323131010040 is 40010131323.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 323131009995 and 323131010022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323131010047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91224 + ... + 809063.

It is an arithmetic number, because the mean of its divisors is an integer number (10950315480).

Almost surely, 2323131010040 is an apocalyptic number.

323131010040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323131010040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525615143040).

323131010040 is an abundant number, since it is smaller than the sum of its proper divisors (728099276040).

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

323131010040 is a wasteful number, since it uses less digits than its factorization.

323131010040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901301 (or 901294 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 323131010040 its reverse (40010131323), we get a palindrome (363141141363).

The spelling of 323131010040 in words is "three hundred twenty-three billion, one hundred thirty-one million, ten thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 997 1994 2991 3988 4985 5982 7976 8973 9970 11964 14955 17946 19940 23928 29910 35892 39880 44865 59820 71784 89730 119640 179460 358920 900287 1800574 2700861 3601148 4501435 5401722 7202296 8102583 9002870 10803444 13504305 16205166 18005740 21606888 27008610 32410332 36011480 40512915 54017220 64820664 81025830 108034440 162051660 324103320 897586139 1795172278 2692758417 3590344556 4487930695 5385516834 7180689112 8078275251 8975861390 10771033668 13463792085 16156550502 17951722780 21542067336 26927584170 32313101004 35903445560 40391376255 53855168340 64626202008 80782752510 107710336680 161565505020 323131010040