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31320110103120 = 24325615503129587
BaseRepresentation
bin1110001111100010010000…
…00010010111101001010000
311002220011200022202022001100
413013301020002113221100
513101122041141244440
6150340132052104400
76411542345206056
oct707611002275120
9132804608668040
1031320110103120
119a85869704383
12361a069605100
131462620981597
147a3c896bc1d6
15394a94468230
hex1c7c48097a50

31320110103120 has 240 divisors, whose sum is σ = 106927939602432. Its totient is φ = 8213554621440.

The previous prime is 31320110103101. The next prime is 31320110103137. The reversal of 31320110103120 is 2130101102313.

31320110103120 is a `hidden beast` number, since 31 + 320 + 1 + 1 + 0 + 1 + 0 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 31320110103093 and 31320110103102.

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 47 ways as a sum of consecutive naturals, for example, 241626967 + ... + 241756553.

Almost surely, 231320110103120 is an apocalyptic number.

31320110103120 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 31320110103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53463969801216).

31320110103120 is an abundant number, since it is smaller than the sum of its proper divisors (75607829499312).

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

31320110103120 is a wasteful number, since it uses less digits than its factorization.

31320110103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135170 (or 135161 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 31320110103120 its reverse (2130101102313), we get a palindrome (33450211205433).

The spelling of 31320110103120 in words is "thirty-one trillion, three hundred twenty billion, one hundred ten million, one hundred three thousand, one hundred twenty".