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103031330311008 = 253311471447159403
BaseRepresentation
bin10111011011010011011001…
…110110000000101101100000
3111111210200212120002111202000
4113123103121312000231200
5102001031131024423013
61003043534551324000
730462524261511051
oct2733233166005540
9444720776074660
10103031330311008
112a913383a37270
12b6801b4080600
134564a748295c8
141b62a58ac4728
15bda134818973
hex5db4d9d80b60

103031330311008 has 384 divisors, whose sum is σ = 335035480227840. Its totient is φ = 30536016284160.

The previous prime is 103031330311001. The next prime is 103031330311009. The reversal of 103031330311008 is 800113033130301.

103031330311008 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 313 + 30 + 311 + 0 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103031330311001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 646277835 + ... + 646437237.

It is an arithmetic number, because the mean of its divisors is an integer number (872488229760).

Almost surely, 2103031330311008 is an apocalyptic number.

103031330311008 is a gapful number since it is divisible by the number (18) 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 103031330311008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167517740113920).

103031330311008 is an abundant number, since it is smaller than the sum of its proper divisors (232004149916832).

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

103031330311008 is a wasteful number, since it uses less digits than its factorization.

103031330311008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160927 (or 160913 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 103031330311008 its reverse (800113033130301), we get a palindrome (903144363441309).

The spelling of 103031330311008 in words is "one hundred three trillion, thirty-one billion, three hundred thirty million, three hundred eleven thousand, eight".