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10120331002320 = 24335711411484111
BaseRepresentation
bin1001001101000101001010…
…1111000000000111010000
31022211111100021020112011000
42103101102233000013100
52311302414214033240
633305114344022000
72063112144111120
oct223212257000720
938744307215130
1010120331002320
113252010018080
12117547a461900
1358545caa6946
1426db803d8c80
151283bdecd430
hex93452bc01d0

10120331002320 has 640 divisors, whose sum is σ = 44520510504960. Its totient is φ = 2051633664000.

The previous prime is 10120331002319. The next prime is 10120331002357. The reversal of 10120331002320 is 2320013302101.

10120331002320 is a `hidden beast` number, since 1 + 0 + 12 + 0 + 331 + 0 + 0 + 2 + 320 = 666.

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 = 10120331002293 and 10120331002302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6077065 + ... + 7561175.

It is an arithmetic number, because the mean of its divisors is an integer number (69563297664).

Almost surely, 210120331002320 is an apocalyptic number.

10120331002320 is a gapful number since it is divisible by the number (10) 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 10120331002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22260255252480).

10120331002320 is an abundant number, since it is smaller than the sum of its proper divisors (34400179502640).

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

10120331002320 is a wasteful number, since it uses less digits than its factorization.

10120331002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484192 (or 1484180 counting only the distinct ones).

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

Adding to 10120331002320 its reverse (2320013302101), we get a palindrome (12440344304421).

The spelling of 10120331002320 in words is "ten trillion, one hundred twenty billion, three hundred thirty-one million, two thousand, three hundred twenty".