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103124203440 = 24351782724103
BaseRepresentation
bin110000000001010101…
…1100111011110110000
3100212011220101022200020
41200002223213132300
53142144244002230
6115212525323440
710310341160226
oct1400253473660
9325156338606
10103124203440
113a809a19415
1217ba0106580
139955b6022b
144dc3d58b16
152a38664810
hex1802ae77b0

103124203440 has 80 divisors (see below), whose sum is σ = 319716227328. Its totient is φ = 27497104128.

The previous prime is 103124203409. The next prime is 103124203531. The reversal of 103124203440 is 44302421301.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 103124203440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4266429 + ... + 4290531.

Almost surely, 2103124203440 is an apocalyptic number.

103124203440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103124203440 is an abundant number, since it is smaller than the sum of its proper divisors (216592023888).

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

103124203440 is a wasteful number, since it uses less digits than its factorization.

103124203440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41946 (or 41940 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 103124203440 its reverse (44302421301), we get a palindrome (147426624741).

The spelling of 103124203440 in words is "one hundred three billion, one hundred twenty-four million, two hundred three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 17827 24103 35654 48206 53481 71308 72309 89135 96412 106962 120515 142616 144618 178270 192824 213924 241030 267405 285232 289236 356540 361545 385648 427848 482060 534810 578472 713080 723090 855696 964120 1069620 1156944 1426160 1446180 1928240 2139240 2892360 4278480 5784720 429684181 859368362 1289052543 1718736724 2148420905 2578105086 3437473448 4296841810 5156210172 6445262715 6874946896 8593683620 10312420344 12890525430 17187367240 20624840688 25781050860 34374734480 51562101720 103124203440