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2041252400022 = 2311190116269367
BaseRepresentation
bin11101101101000100000…
…111111100101110010110
321020010211101111220022120
4131231010013330232112
5231420441103300042
64201423255040410
7300322065055623
oct35550407745626
97203741456276
102041252400022
11717765845570
1228b737370106
1311a648c26a24
1470b2350b34a
153816e900dec
hex1db441fcb96

2041252400022 has 32 divisors (see below), whose sum is σ = 4455984662784. Its totient is φ = 618235908000.

The previous prime is 2041252399957. The next prime is 2041252400029. The reversal of 2041252400022 is 2200042521402.

It is a super-2 number, since 2×20412524000222 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2041252399965 and 2041252400001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2041252400029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8009218 + ... + 8260149.

It is an arithmetic number, because the mean of its divisors is an integer number (139249520712).

Almost surely, 22041252400022 is an apocalyptic number.

2041252400022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2041252400022 is an abundant number, since it is smaller than the sum of its proper divisors (2414732262762).

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

2041252400022 is a wasteful number, since it uses less digits than its factorization.

2041252400022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16271284.

The product of its (nonzero) digits is 2560, while the sum is 24.

Adding to 2041252400022 its reverse (2200042521402), we get a palindrome (4241294921424).

The spelling of 2041252400022 in words is "two trillion, forty-one billion, two hundred fifty-two million, four hundred thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 66 1901 3802 5703 11406 20911 41822 62733 125466 16269367 32538734 48808101 97616202 178963037 357926074 536889111 1073778222 30928066667 61856133334 92784200001 185568400002 340208733337 680417466674 1020626200011 2041252400022