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103011211031200 = 25527125124772917
BaseRepresentation
bin10111011011000000101010…
…101001000011001010100000
3111111201202221102010012100121
4113123000222221003022200
5102000213430010444300
61003030410321330024
730461212560452443
oct2733005251031240
9444652842105317
10103011211031200
112a90589a14859a
12b67831a196914
134562bb951a804
141b61aaaa2d65a
15bd985838a81a
hex5db02aa432a0

103011211031200 has 288 divisors, whose sum is σ = 256225217286528. Its totient is φ = 40432089600000.

The previous prime is 103011211031191. The next prime is 103011211031203. The reversal of 103011211031200 is 2130112110301.

It is a happy number.

It is a super-2 number, since 2×1030112110312002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (103011211031203) by changing a digit.

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, 35314092142 + ... + 35314095058.

It is an arithmetic number, because the mean of its divisors is an integer number (889670893356).

Almost surely, 2103011211031200 is an apocalyptic number.

103011211031200 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 103011211031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128112608643264).

103011211031200 is an abundant number, since it is smaller than the sum of its proper divisors (153214006255328).

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

103011211031200 is a wasteful number, since it uses less digits than its factorization.

103011211031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5736 (or 5723 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 103011211031200 its reverse (2130112110301), we get a palindrome (105141323141501).

The spelling of 103011211031200 in words is "one hundred three trillion, eleven billion, two hundred eleven million, thirty-one thousand, two hundred".