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31320002013300 = 2232527111323772277
BaseRepresentation
bin1110001111100010000011…
…00110000010100001110100
311002220011101210100202200200
413013301001212002201310
513101121331003411200
6150340113231240500
76411536563361310
oct707610146024164
9132804353322620
1031320002013300
119a85813697950
12361a039379130
131462604467800
147a3c791c2b40
15394a89c16800
hex1c7c41982874

31320002013300 has 1296 divisors, whose sum is σ = 136117866148992. Its totient is φ = 5844989030400.

The previous prime is 31320002013281. The next prime is 31320002013317. The reversal of 31320002013300 is 331020002313.

31320002013300 is a `hidden beast` number, since 3 + 132 + 0 + 0 + 0 + 201 + 330 + 0 = 666.

It is a super-2 number, since 2×313200020133002 (a number of 28 digits) contains 22 as substring.

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

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 431 ways as a sum of consecutive naturals, for example, 433296762 + ... + 433369038.

Almost surely, 231320002013300 is an apocalyptic number.

31320002013300 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 31320002013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68058933074496).

31320002013300 is an abundant number, since it is smaller than the sum of its proper divisors (104797864135692).

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

31320002013300 is a wasteful number, since it uses less digits than its factorization.

31320002013300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72378 (or 72355 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 31320002013300 its reverse (331020002313), we get a palindrome (31651022015613).

It can be divided in two parts, 31320002013 and 300, that added together give a palindrome (31320002313).

The spelling of 31320002013300 in words is "thirty-one trillion, three hundred twenty billion, two million, thirteen thousand, three hundred".