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1122110020020 = 2235113154844087
BaseRepresentation
bin10000010101000010111…
…110000001100110110100
310222021100202222011022010
4100111002332001212310
5121341040131120040
62215253520004220
7144032634540213
oct20250276014664
93867322864263
101122110020020
113a297a942310
12161580460670
1381a7866b762
143c44bac707a
151e2c6ab2e80
hex10542f819b4

1122110020020 has 96 divisors (see below), whose sum is σ = 3538101805056. Its totient is φ = 263251612800.

The previous prime is 1122110020007. The next prime is 1122110020021. The reversal of 1122110020020 is 200200112211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1122110019978 and 1122110020005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122110020021) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 27401584 + ... + 27442503.

It is an arithmetic number, because the mean of its divisors is an integer number (36855227136).

Almost surely, 21122110020020 is an apocalyptic number.

1122110020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122110020020 is an abundant number, since it is smaller than the sum of its proper divisors (2415991785036).

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

1122110020020 is a wasteful number, since it uses less digits than its factorization.

1122110020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54844141 (or 54844139 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1122110020020 its reverse (200200112211), we get a palindrome (1322310132231).

The spelling of 1122110020020 in words is "one trillion, one hundred twenty-two billion, one hundred ten million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 31 33 44 55 60 62 66 93 110 124 132 155 165 186 220 310 330 341 372 465 620 660 682 930 1023 1364 1705 1860 2046 3410 4092 5115 6820 10230 20460 54844087 109688174 164532261 219376348 274220435 329064522 548440870 603284957 658129044 822661305 1096881740 1206569914 1645322610 1700166697 1809854871 2413139828 3016424785 3290645220 3400333394 3619709742 5100500091 6032849570 6800666788 7239419484 8500833485 9049274355 10201000182 12065699140 17001666970 18098548710 18701833667 20402000364 25502500455 34003333940 36197097420 37403667334 51005000910 56105501001 74807334668 93509168335 102010001820 112211002002 187018336670 224422004004 280527505005 374036673340 561055010010 1122110020020