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1121111310020 = 2251314994730559
BaseRepresentation
bin10000010100000111011…
…100001111111011000100
310222011210011201102201212
4100110013130033323010
5121332013443410040
62215010442110552
7143666116621232
oct20240734177304
93864704642655
101121111310020
113a250811a749
12161341aab458
13819497937b0
143c3951d3952
151e269088d65
hex1050770fec4

1121111310020 has 96 divisors (see below), whose sum is σ = 2555231616000. Its totient is φ = 410722988544.

The previous prime is 1121111310019. The next prime is 1121111310031. The reversal of 1121111310020 is 200131111211.

It is a junction number, because it is equal to n+sod(n) for n = 1121111309977 and 1121111310004.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 36671501 + ... + 36702059.

It is an arithmetic number, because the mean of its divisors is an integer number (26616996000).

Almost surely, 21121111310020 is an apocalyptic number.

1121111310020 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 1121111310020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277615808000).

1121111310020 is an abundant number, since it is smaller than the sum of its proper divisors (1434120305980).

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

1121111310020 is a wasteful number, since it uses less digits than its factorization.

1121111310020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31677 (or 31675 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 1121111310020 its reverse (200131111211), we get a palindrome (1321242421231).

The spelling of 1121111310020 in words is "one trillion, one hundred twenty-one billion, one hundred eleven million, three hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 149 260 298 596 745 947 1490 1894 1937 2980 3788 3874 4735 7748 9470 9685 12311 18940 19370 24622 30559 38740 49244 61118 61555 122236 123110 141103 152795 246220 282206 305590 397267 564412 611180 705515 794534 1411030 1589068 1834339 1986335 2822060 3668678 3972670 4553291 7337356 7945340 9106582 9171695 18213164 18343390 22766455 28939373 36686780 45532910 57878746 59192783 91065820 115757492 118385566 144696865 236771132 289393730 295963915 376211849 578787460 591927830 752423698 1183855660 1504847396 1881059245 3762118490 4311966577 7524236980 8623933154 17247866308 21559832885 43119665770 56055565501 86239331540 112111131002 224222262004 280277827505 560555655010 1121111310020