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103132213120 = 275284356681
BaseRepresentation
bin110000000001100101…
…0001010111110000000
3100212012110110020220001
41200003022022332000
53142203321304440
6115213413125344
710310466230116
oct1400312127600
9325173406801
10103132213120
113a81349a192
1217ba2929854
139957705ba1
144dc5041ab6
152a391e7b9a
hex180328af80

103132213120 has 64 divisors (see below), whose sum is σ = 246641520240. Its totient is φ = 41237647360.

The previous prime is 103132213117. The next prime is 103132213127. The reversal of 103132213120 is 21312231301.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103132213127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1791180 + ... + 1847860.

Almost surely, 2103132213120 is an apocalyptic number.

103132213120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103132213120 is an abundant number, since it is smaller than the sum of its proper divisors (143509307120).

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

103132213120 is an equidigital number, since it uses as much as digits as its factorization.

103132213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59543 (or 59531 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 103132213120 its reverse (21312231301), we get a palindrome (124444444421).

The spelling of 103132213120 in words is "one hundred three billion, one hundred thirty-two million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 2843 5686 11372 14215 22744 28430 45488 56681 56860 90976 113362 113720 181952 226724 227440 283405 363904 453448 454880 566810 906896 909760 1133620 1813792 1819520 2267240 3627584 4534480 7255168 9068960 18137920 36275840 161144083 322288166 644576332 805720415 1289152664 1611440830 2578305328 3222881660 5156610656 6445763320 10313221312 12891526640 20626442624 25783053280 51566106560 103132213120