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10130322123000 = 2332532668142187
BaseRepresentation
bin1001001101101010011001…
…0000000110100011111000
31022212110010120022001010200
42103122212100012203320
52311433344430414000
633313450012242200
72063614553201622
oct223324620064370
938773116261120
1010130322123000
113256277817a02
1211773a8470360
135863929a5681
1427044b2c9c12
151287a61d5500
hex936a64068f8

10130322123000 has 192 divisors, whose sum is σ = 34242583770720. Its totient is φ = 2701253952000.

The previous prime is 10130322122981. The next prime is 10130322123037. The reversal of 10130322123000 is 32122303101.

10130322123000 is a `hidden beast` number, since 1 + 0 + 1 + 30 + 322 + 12 + 300 + 0 = 666.

It is a super-3 number, since 3×101303221230003 (a number of 40 digits) contains 333 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 47 ways as a sum of consecutive naturals, for example, 240107907 + ... + 240150093.

Almost surely, 210130322123000 is an apocalyptic number.

10130322123000 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 10130322123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17121291885360).

10130322123000 is an abundant number, since it is smaller than the sum of its proper divisors (24112261647720).

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

10130322123000 is a wasteful number, since it uses less digits than its factorization.

10130322123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68895 (or 68878 counting only the distinct ones).

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

Adding to 10130322123000 its reverse (32122303101), we get a palindrome (10162444426101).

The spelling of 10130322123000 in words is "ten trillion, one hundred thirty billion, three hundred twenty-two million, one hundred twenty-three thousand".