Search a number
-
+
128111011280 = 24571773832221
BaseRepresentation
bin111011101010000000…
…0101110010111010000
3110020200021110200020122
41313110000232113100
54044332404330110
6134504155325412
712153465425420
oct1672400562720
9406607420218
10128111011280
114a371364a2a
12209b4150868
13c108727c25
1462b466a480
1534ec0cd255
hex1dd402e5d0

128111011280 has 320 divisors, whose sum is σ = 369939322368. Its totient is φ = 40264335360.

The previous prime is 128111011271. The next prime is 128111011283. The reversal of 128111011280 is 82110111821.

It is a super-2 number, since 2×1281110112802 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128111011283) 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 63 ways as a sum of consecutive naturals, for example, 57680570 + ... + 57682790.

Almost surely, 2128111011280 is an apocalyptic number.

128111011280 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 128111011280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184969661184).

128111011280 is an abundant number, since it is smaller than the sum of its proper divisors (241828311088).

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

128111011280 is a wasteful number, since it uses less digits than its factorization.

128111011280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2414 (or 2408 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 26.

The spelling of 128111011280 in words is "one hundred twenty-eight billion, one hundred eleven million, eleven thousand, two hundred eighty".