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1103898378240 = 215355717233
BaseRepresentation
bin10000000100000101011…
…110001000000000000000
310220112100120112220100000
4100010011132020000000
5121041240441100430
62203042433200000
7142516426252530
oct20040536100000
93815316486300
101103898378240
11396184946299
12159b39400000
1380135638c68
143b6011274c0
151daacd50e60
hex10105788000

1103898378240 has 1536 divisors, whose sum is σ = 4822855914240. Its totient is φ = 236458082304.

The previous prime is 1103898378229. The next prime is 1103898378241. The reversal of 1103898378240 is 428738983011.

It is a happy number.

1103898378240 is a `hidden beast` number, since 1 + 10 + 389 + 8 + 3 + 7 + 8 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1103898378241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4737761164 + ... + 4737761396.

Almost surely, 21103898378240 is an apocalyptic number.

1103898378240 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 1103898378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2411427957120).

1103898378240 is an abundant number, since it is smaller than the sum of its proper divisors (3718957536000).

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

1103898378240 is an frugal number, since it uses more digits than its factorization.

1103898378240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 1103898378240 in words is "one trillion, one hundred three billion, eight hundred ninety-eight million, three hundred seventy-eight thousand, two hundred forty".