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1011003774440 = 2351112343186157
BaseRepresentation
bin11101011011001001000…
…01010101010111101000
310120122120120222002021112
432231210201111113220
5113031013431240230
62052240531325452
7133020421202042
oct16554441252750
93518516862245
101011003774440
1135a845301560
12143b33150888
137444cc1518a
1436d0ba1aa92
151b4727edd95
hexeb648555e8

1011003774440 has 64 divisors (see below), whose sum is σ = 2481769100160. Its totient is φ = 367605976320.

The previous prime is 1011003774427. The next prime is 1011003774463. The reversal of 1011003774440 is 444773001101.

1011003774440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1011003774397 and 1011003774406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5337842 + ... + 5523998.

It is an arithmetic number, because the mean of its divisors is an integer number (38777642190).

Almost surely, 21011003774440 is an apocalyptic number.

1011003774440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011003774440 is an abundant number, since it is smaller than the sum of its proper divisors (1470765325720).

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

1011003774440 is a wasteful number, since it uses less digits than its factorization.

1011003774440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198522 (or 198518 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

Adding to 1011003774440 its reverse (444773001101), we get a palindrome (1455776775541).

The spelling of 1011003774440 in words is "one trillion, eleven billion, three million, seven hundred seventy-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 12343 24686 49372 61715 98744 123430 135773 186157 246860 271546 372314 493720 543092 678865 744628 930785 1086184 1357730 1489256 1861570 2047727 2715460 3723140 4095454 5430920 7446280 8190908 10238635 16381816 20477270 40954540 81909080 2297735851 4595471702 9190943404 11488679255 18381886808 22977358510 25275094361 45954717020 50550188722 91909434040 101100377444 126375471805 202200754888 252750943610 505501887220 1011003774440