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10130300032320 = 26325134710156999
BaseRepresentation
bin1001001101101010010011…
…1011110101010101000000
31022212110002000201201102100
42103122210323311111000
52311433323302013240
633313443502550400
72063614164344406
oct223324473652500
938773060651370
1010130300032320
1132562662a9946
1211773a0b98400
1358638b23c770
142704483b9476
151287a42bee30
hex936a4ef5540

10130300032320 has 672 divisors, whose sum is σ = 38702821248000. Its totient is φ = 2416350412800.

The previous prime is 10130300032319. The next prime is 10130300032331. The reversal of 10130300032320 is 2323000303101.

10130300032320 is a `hidden beast` number, since 1 + 0 + 13 + 0 + 300 + 0 + 32 + 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 = 10130300032293 and 10130300032302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 177699181 + ... + 177756179.

It is an arithmetic number, because the mean of its divisors is an integer number (57593484000).

Almost surely, 210130300032320 is an apocalyptic number.

10130300032320 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 10130300032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19351410624000).

10130300032320 is an abundant number, since it is smaller than the sum of its proper divisors (28572521215680).

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

10130300032320 is a wasteful number, since it uses less digits than its factorization.

10130300032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57183 (or 57170 counting only the distinct ones).

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

Adding to 10130300032320 its reverse (2323000303101), we get a palindrome (12453300335421).

The spelling of 10130300032320 in words is "ten trillion, one hundred thirty billion, three hundred million, thirty-two thousand, three hundred twenty".