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31320313203132 = 22342931372906161
BaseRepresentation
bin1110001111100010101000…
…01001001000100110111100
311002220012012110220211220000
413013301110021020212330
513101123000140000012
6150340204145154300
76411550362424302
oct707612411104674
9132805173824800
1031320313203132
119a85963314428
12361a10562b990
131462653a828c5
147a3ca866a272
15394aa71d5ddc
hex1c7c542489bc

31320313203132 has 240 divisors, whose sum is σ = 89796220926720. Its totient is φ = 9491286067200.

The previous prime is 31320313203073. The next prime is 31320313203173. The reversal of 31320313203132 is 23130231302313.

31320313203132 is a `hidden beast` number, since 3 + 1 + 3 + 20 + 3 + 1 + 320 + 313 + 2 = 666.

It is a super-3 number, since 3×313203132031323 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

31320313203132 is a modest number, since divided by 313203132 gives 3132 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 31320313203096 and 31320313203105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9324132 + ... + 12230292.

It is an arithmetic number, because the mean of its divisors is an integer number (374150920528).

Almost surely, 231320313203132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31320313203132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44898110463360).

31320313203132 is an abundant number, since it is smaller than the sum of its proper divisors (58475907723588).

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

31320313203132 is a wasteful number, since it uses less digits than its factorization.

31320313203132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906274 (or 2906263 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 31320313203132 its reverse (23130231302313), we get a palindrome (54450544505445).

The spelling of 31320313203132 in words is "thirty-one trillion, three hundred twenty billion, three hundred thirteen million, two hundred three thousand, one hundred thirty-two".