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10103331330 = 23256779127167
BaseRepresentation
bin10010110100011010…
…01001101000000010
3222002010012102001200
421122031021220002
5131142423100310
64350313242030
7505240620321
oct113215115002
928063172050
1010103331330
114315081404
121b5b703316
13c50229381
146bbb800b8
153e1ebe9c0
hex25a349a02

10103331330 has 192 divisors, whose sum is σ = 27373731840. Its totient is φ = 2584213632.

The previous prime is 10103331269. The next prime is 10103331341. The reversal of 10103331330 is 3313330101.

10103331330 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 3 + 331 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60498907 + ... + 60499073.

It is an arithmetic number, because the mean of its divisors is an integer number (142571520).

Almost surely, 210103331330 is an apocalyptic number.

10103331330 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 10103331330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13686865920).

10103331330 is an abundant number, since it is smaller than the sum of its proper divisors (17270400510).

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

10103331330 is a wasteful number, since it uses less digits than its factorization.

10103331330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 10103331330 its reverse (3313330101), we get a palindrome (13416661431).

The spelling of 10103331330 in words is "ten billion, one hundred three million, three hundred thirty-one thousand, three hundred thirty".