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103381449243072 = 2637111323182312829
BaseRepresentation
bin10111100000011001011110…
…100011101111100111000000
3111120001011120221122002020020
4113200121132203233213000
5102022300202001234242
61003512440535213440
730530030454362040
oct2740313643574700
9446034527562206
10103381449243072
112aa3890aa48a80
12b718026217280
13458baa0c39a20
141b75990275720
15be42c70116ec
hex5e065e8ef9c0

103381449243072 has 896 divisors, whose sum is σ = 383464984412160. Its totient is φ = 23694223196160.

The previous prime is 103381449243041. The next prime is 103381449243091. The reversal of 103381449243072 is 270342944183301.

103381449243072 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8058411954 + ... + 8058424782.

It is an arithmetic number, because the mean of its divisors is an integer number (427974312960).

Almost surely, 2103381449243072 is an apocalyptic number.

103381449243072 is a gapful number since it is divisible by the number (12) 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 103381449243072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191732492206080).

103381449243072 is an abundant number, since it is smaller than the sum of its proper divisors (280083535169088).

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

103381449243072 is a wasteful number, since it uses less digits than its factorization.

103381449243072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14721 (or 14711 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 103381449243072 in words is "one hundred three trillion, three hundred eighty-one billion, four hundred forty-nine million, two hundred forty-three thousand, seventy-two".