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103124113440 = 25351712637759
BaseRepresentation
bin110000000001010101…
…1010001100000100000
3100212011220012202012220
41200002223101200200
53142144233112230
6115212523351040
710310340333645
oct1400253214040
9325156182186
10103124113440
113a809967837
1217ba0082480
139955b2b28a
144dc3d33dcc
152a38647d10
hex1802ad1820

103124113440 has 96 divisors (see below), whose sum is σ = 343949276160. Its totient is φ = 25882128384.

The previous prime is 103124113409. The next prime is 103124113441. The reversal of 103124113440 is 44311421301.

It is a tau number, because it is divible by the number of its divisors (96).

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 103124113440.

It is not an unprimeable number, because it can be changed into a prime (103124113441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6310720 + ... + 6327039.

It is an arithmetic number, because the mean of its divisors is an integer number (3582804960).

Almost surely, 2103124113440 is an apocalyptic number.

103124113440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103124113440 is an abundant number, since it is smaller than the sum of its proper divisors (240825162720).

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

103124113440 is a wasteful number, since it uses less digits than its factorization.

103124113440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12637794 (or 12637786 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 103124113440 its reverse (44311421301), we get a palindrome (147435534741).

The spelling of 103124113440 in words is "one hundred three billion, one hundred twenty-four million, one hundred thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 680 816 1020 1360 1632 2040 2720 4080 8160 12637759 25275518 37913277 50551036 63188795 75826554 101102072 126377590 151653108 189566385 202204144 214841903 252755180 303306216 379132770 404408288 429683806 505510360 606612432 644525709 758265540 859367612 1011020720 1074209515 1213224864 1289051418 1516531080 1718735224 2022041440 2148419030 2578102836 3033062160 3222628545 3437470448 4296838060 5156205672 6066124320 6445257090 6874940896 8593676120 10312411344 12890514180 17187352240 20624822688 25781028360 34374704480 51562056720 103124113440