Search a number
-
+
1103368121280 = 26325443864817
BaseRepresentation
bin10000000011100101110…
…111010110101111000000
310220110222121210001112100
4100003211313112233000
5121034144214340110
62202514052030400
7142500330200055
oct20034567265700
93813877701470
101103368121280
11395a325a33a7
12159a0b902400
138007c81bc49
143b59093702c
151da7b50cbc0
hex100e5dd6bc0

1103368121280 has 168 divisors, whose sum is σ = 3803697875952. Its totient is φ = 293566980096.

The previous prime is 1103368121279. The next prime is 1103368121281. The reversal of 1103368121280 is 821218633011.

1103368121280 is a `hidden beast` number, since 1 + 1 + 0 + 3 + 368 + 1 + 212 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (1103368121279) and next prime (1103368121281).

It is a super-2 number, since 2×11033681212802 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1103368121281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 843432 + ... + 1708248.

Almost surely, 21103368121280 is an apocalyptic number.

1103368121280 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 1103368121280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1901848937976).

1103368121280 is an abundant number, since it is smaller than the sum of its proper divisors (2700329754672).

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

1103368121280 is a wasteful number, since it uses less digits than its factorization.

1103368121280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865283 (or 865270 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 1103368121280 in words is "one trillion, one hundred three billion, three hundred sixty-eight million, one hundred twenty-one thousand, two hundred eighty".