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103011130080 = 25335173145247
BaseRepresentation
bin101111111101111110…
…0010001101011100000
3100211220000121121012000
41133323330101223200
53141431322130310
6115153410004000
710304466105255
oct1377374215340
9324800547160
10103011130080
113a761108761
1217b6a276600
1399385c0011
144db2d2342c
152a2d77b4c0
hex17fbf11ae0

103011130080 has 384 divisors, whose sum is σ = 394070261760. Its totient is φ = 25019228160.

The previous prime is 103011130069. The next prime is 103011130093. The reversal of 103011130080 is 80031110301.

It is a happy number.

It is a super-2 number, since 2×1030111300802 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2254017 + ... + 2299263.

It is an arithmetic number, because the mean of its divisors is an integer number (1026224640).

Almost surely, 2103011130080 is an apocalyptic number.

103011130080 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 103011130080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197035130880).

103011130080 is an abundant number, since it is smaller than the sum of its proper divisors (291059131680).

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

103011130080 is a wasteful number, since it uses less digits than its factorization.

103011130080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45319 (or 45305 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 103011130080 its reverse (80031110301), we get a palindrome (183042240381).

The spelling of 103011130080 in words is "one hundred three billion, eleven million, one hundred thirty thousand, eighty".