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103237531280 = 24513530318719
BaseRepresentation
bin110000000100101101…
…1111011011010010000
3100212110210121222020122
41200021123323122100
53142412302000110
6115232054325412
710313215352132
oct1401133733220
9325423558218
10103237531280
113a867993294
1218012059868
13997348c220
144dd5019052
152a4359d255
hex18096fb690

103237531280 has 80 divisors (see below), whose sum is σ = 258553451520. Its totient is φ = 38109249024.

The previous prime is 103237531273. The next prime is 103237531289. The reversal of 103237531280 is 82135732301.

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

It is a self number, because there is not a number n which added to its sum of digits gives 103237531280.

It is not an unprimeable number, because it can be changed into a prime (103237531289) by changing a digit.

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, 5505761 + ... + 5524479.

It is an arithmetic number, because the mean of its divisors is an integer number (3231918144).

Almost surely, 2103237531280 is an apocalyptic number.

103237531280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103237531280 is an abundant number, since it is smaller than the sum of its proper divisors (155315920240).

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

103237531280 is a wasteful number, since it uses less digits than its factorization.

103237531280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24048 (or 24042 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The spelling of 103237531280 in words is "one hundred three billion, two hundred thirty-seven million, five hundred thirty-one thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 5303 10606 18719 21212 26515 37438 42424 53030 68939 74876 84848 93595 106060 137878 149752 187190 212120 243347 275756 299504 344695 374380 424240 486694 551512 689390 748760 973388 1103024 1216735 1378780 1497520 1946776 2433470 2757560 3893552 4866940 5515120 9733880 19467760 99266857 198533714 397067428 496334285 794134856 992668570 1290469141 1588269712 1985337140 2580938282 3970674280 5161876564 6452345705 7941348560 10323753128 12904691410 20647506256 25809382820 51618765640 103237531280