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103031032130000 = 24541337137315601
BaseRepresentation
bin10111011011010011001000…
…000100100010100111010000
3111111210200002210000100021222
4113123103020010202213100
5102001030023211130000
61003043445220304212
730462514011145502
oct2733231004424720
9444720083010258
10103031032130000
112a913240695487
12b680130242068
134564a27b17740
141b62a2b265d72
15bda118568a85
hex5db4c81229d0

103031032130000 has 400 divisors, whose sum is σ = 276115868401296. Its totient is φ = 36984729600000.

The previous prime is 103031032129999. The next prime is 103031032130063. The reversal of 103031032130000 is 31230130301.

It can be written as a sum of positive squares in 40 ways, for example, as 90281390729104 + 12749641400896 = 9501652^2 + 3570664^2 .

It is a tau number, because it is divible by the number of its divisors (400).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6604122200 + ... + 6604137800.

Almost surely, 2103031032130000 is an apocalyptic number.

103031032130000 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 103031032130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138057934200648).

103031032130000 is an abundant number, since it is smaller than the sum of its proper divisors (173084836271296).

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

103031032130000 is a wasteful number, since it uses less digits than its factorization.

103031032130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17052 (or 17031 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 103031032130000 its reverse (31230130301), we get a palindrome (103062262260301).

The spelling of 103031032130000 in words is "one hundred three trillion, thirty-one billion, thirty-two million, one hundred thirty thousand".