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103101101322030 = 232573123892209759
BaseRepresentation
bin10111011100010100011000…
…100001010010111100101110
3111112001100222000120002210100
4113130110120201102330232
5102003202023414301110
61003135554142251530
730500544255355260
oct2734243041227456
9445040860502710
10103101101322030
112a93aa27946549
12b691826286ba6
13456b5136a9c06
141b6619712db30
15bdbd69c95bc0
hex5dc518852f2e

103101101322030 has 192 divisors, whose sum is σ = 316372576665600. Its totient is φ = 22796217089280.

The previous prime is 103101101322013. The next prime is 103101101322041. The reversal of 103101101322030 is 30223101101301.

103101101322030 is a `hidden beast` number, since 1 + 0 + 310 + 1 + 1 + 0 + 1 + 322 + 0 + 30 = 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 = 103101101321994 and 103101101322012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45552291 + ... + 47762049.

It is an arithmetic number, because the mean of its divisors is an integer number (1647773836800).

Almost surely, 2103101101322030 is an apocalyptic number.

103101101322030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103101101322030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158186288332800).

103101101322030 is an abundant number, since it is smaller than the sum of its proper divisors (213271475343570).

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

103101101322030 is a wasteful number, since it uses less digits than its factorization.

103101101322030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212199 (or 2212196 counting only the distinct ones).

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

Adding to 103101101322030 its reverse (30223101101301), we get a palindrome (133324202423331).

The spelling of 103101101322030 in words is "one hundred three trillion, one hundred one billion, one hundred one million, three hundred twenty-two thousand, thirty".