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103125020240 = 24511194960127
BaseRepresentation
bin110000000001010111…
…0101110111001010000
3100212011221220211010002
41200002232232321100
53142200001121430
6115212555025132
710310351131454
oct1400256567120
9325157824102
10103125020240
113a80a427060
1217ba043b1a8
139956087c48
144dc40cc664
152a38776845
hex1802baee50

103125020240 has 80 divisors (see below), whose sum is σ = 261701107200. Its totient is φ = 37480143360.

The previous prime is 103125020221. The next prime is 103125020261. The reversal of 103125020240 is 42020521301.

103125020240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1685057 + ... + 1745183.

It is an arithmetic number, because the mean of its divisors is an integer number (3271263840).

Almost surely, 2103125020240 is an apocalyptic number.

103125020240 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 103125020240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130850553600).

103125020240 is an abundant number, since it is smaller than the sum of its proper divisors (158576086960).

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

103125020240 is a wasteful number, since it uses less digits than its factorization.

103125020240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62100 (or 62094 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 103125020240 its reverse (42020521301), we get a palindrome (145145541541).

The spelling of 103125020240 in words is "one hundred three billion, one hundred twenty-five million, twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1949 3898 7796 9745 15592 19490 21439 31184 38980 42878 60127 77960 85756 107195 120254 155920 171512 214390 240508 300635 343024 428780 481016 601270 661397 857560 962032 1202540 1322794 1715120 2405080 2645588 3306985 4810160 5291176 6613970 10582352 13227940 26455880 52911760 117187523 234375046 468750092 585937615 937500184 1171875230 1289062753 1875000368 2343750460 2578125506 4687500920 5156251012 6445313765 9375001840 10312502024 12890627530 20625004048 25781255060 51562510120 103125020240