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1110430242020 = 2251123691317587
BaseRepresentation
bin10000001010001010110…
…011001101010011100100
310221011012210101221221202
4100022022303031103210
5121143130120221040
62210042525502032
7143140332215261
oct20121263152344
93834183357852
101110430242020
11398a26a17220
1215b260a11918
1380936965208
143ba60824268
151dd414e8015
hex1028accd4e4

1110430242020 has 96 divisors (see below), whose sum is σ = 2658348758016. Its totient is φ = 385676438400.

The previous prime is 1110430242007. The next prime is 1110430242073. The reversal of 1110430242020 is 202420340111.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1110430241983 and 1110430242001.

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 31 ways as a sum of consecutive naturals, for example, 3337667 + ... + 3655253.

It is an arithmetic number, because the mean of its divisors is an integer number (27691132896).

Almost surely, 21110430242020 is an apocalyptic number.

1110430242020 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 1110430242020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329174379008).

1110430242020 is an abundant number, since it is smaller than the sum of its proper divisors (1547918515996).

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

1110430242020 is a wasteful number, since it uses less digits than its factorization.

1110430242020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318321 (or 318319 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1110430242020 its reverse (202420340111), we get a palindrome (1312850582131).

The spelling of 1110430242020 in words is "one trillion, one hundred ten billion, four hundred thirty million, two hundred forty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 691 1012 1265 1382 2530 2764 3455 5060 6910 7601 13820 15202 15893 30404 31786 38005 63572 76010 79465 152020 158930 174823 317587 317860 349646 635174 699292 874115 1270348 1587935 1748230 3175870 3493457 3496460 6351740 6986914 7304501 13973828 14609002 17467285 29218004 34934570 36522505 69869140 73045010 80349511 146090020 160699022 219452617 321398044 401747555 438905234 803495110 877810468 1097263085 1606990220 2194526170 2413978787 4389052340 4827957574 5047410191 9655915148 10094820382 12069893935 20189640764 24139787870 25237050955 48279575740 50474101910 55521512101 100948203820 111043024202 222086048404 277607560505 555215121010 1110430242020