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1106311489740 = 2238529436761
BaseRepresentation
bin10000000110010101010…
…011011010100011001100
310220202120202020200000000
4100012111103122203030
5121111211220132430
62204122114404300
7142633300335162
oct20062523324314
93822522220000
101106311489740
11397202aa3716
1215a4b1590690
138042b5657a2
143b78d7db232
151db9eb16e60
hex101954da8cc

1106311489740 has 432 divisors, whose sum is σ = 3689246040480. Its totient is φ = 278178001920.

The previous prime is 1106311489691. The next prime is 1106311489771. The reversal of 1106311489740 is 479841136011.

1106311489740 is a `hidden beast` number, since 1 + 1 + 0 + 631 + 1 + 4 + 8 + 9 + 7 + 4 + 0 = 666.

It is a super-2 number, since 2×11063114897402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 163627960 + ... + 163634720.

It is an arithmetic number, because the mean of its divisors is an integer number (8539921390).

Almost surely, 21106311489740 is an apocalyptic number.

1106311489740 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 1106311489740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1844623020240).

1106311489740 is an abundant number, since it is smaller than the sum of its proper divisors (2582934550740).

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

1106311489740 is an equidigital number, since it uses as much as digits as its factorization.

1106311489740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6866 (or 6843 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 1106311489740 in words is "one trillion, one hundred six billion, three hundred eleven million, four hundred eighty-nine thousand, seven hundred forty".