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31323213011040 = 2535711301706463
BaseRepresentation
bin1110001111101000000001…
…11111000001100001100000
311002220110200120102100111220
413013310000333001201200
513101144420012323130
6150341404014135040
76412012263404616
oct707640077014140
9132813616370456
1031323213011040
119a87111171a95
12361a7947b1480
1314629c6787082
147a40a18316b6
15394bc6a88410
hex1c7d00fc1860

31323213011040 has 192 divisors, whose sum is σ = 100134862958592. Its totient is φ = 8228869376000.

The previous prime is 31323213011033. The next prime is 31323213011113. The reversal of 31323213011040 is 4011031232313.

It is a super-2 number, since 2×313232130110402 (a number of 28 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 31323213011040.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 43984849 + ... + 44691311.

It is an arithmetic number, because the mean of its divisors is an integer number (521535744576).

Almost surely, 231323213011040 is an apocalyptic number.

31323213011040 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 31323213011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50067431479296).

31323213011040 is an abundant number, since it is smaller than the sum of its proper divisors (68811649947552).

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

31323213011040 is a wasteful number, since it uses less digits than its factorization.

31323213011040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707853 (or 707845 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 31323213011040 its reverse (4011031232313), we get a palindrome (35334244243353).

The spelling of 31323213011040 in words is "thirty-one trillion, three hundred twenty-three billion, two hundred thirteen million, eleven thousand, forty".