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2022103420040 = 2351120753221447
BaseRepresentation
bin11101011011001110110…
…000011000110010001000
321011022101212022221001202
4131123032300120302020
5231112231433420130
64144535210003332
7266043415321634
oct35331660306210
97138355287052
102022103420040
1170a629734480
12287a92416548
131188b6956742
146dc28271dc4
15378ed739145
hex1d6cec18c88

2022103420040 has 64 divisors (see below), whose sum is σ = 4963606335360. Its totient is φ = 735271582720.

The previous prime is 2022103420021. The next prime is 2022103420079. The reversal of 2022103420040 is 400243012202.

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 = 2022103419994 and 2022103420021.

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 15 ways as a sum of consecutive naturals, for example, 9020597 + ... + 9242043.

It is an arithmetic number, because the mean of its divisors is an integer number (77556348990).

Almost surely, 22022103420040 is an apocalyptic number.

2022103420040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2022103420040 is an abundant number, since it is smaller than the sum of its proper divisors (2941502915320).

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

2022103420040 is a wasteful number, since it uses less digits than its factorization.

2022103420040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242222 (or 242218 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 2022103420040 its reverse (400243012202), we get a palindrome (2422346432242).

The spelling of 2022103420040 in words is "two trillion, twenty-two billion, one hundred three million, four hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 20753 41506 83012 103765 166024 207530 221447 228283 415060 442894 456566 830120 885788 913132 1107235 1141415 1771576 1826264 2214470 2282830 2435917 4428940 4565660 4871834 8857880 9131320 9743668 12179585 19487336 24359170 48718340 97436680 4595689591 9191379182 18382758364 22978447955 36765516728 45956895910 50552585501 91913791820 101105171002 183827583640 202210342004 252762927505 404420684008 505525855010 1011051710020 2022103420040