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2133122244440 = 2351147287102523
BaseRepresentation
bin11111000010100111111…
…111100101111101011000
321112220221221211112202212
4133002213333211331120
5234422113243310230
64311535352414252
7310053520624625
oct37024777457530
97486857745685
102133122244440
11752719995420
122a54b63a7388
131261ca251b05
147535a8a334c
153a749ed0895
hex1f0a7fe5f58

2133122244440 has 64 divisors (see below), whose sum is σ = 5236007304960. Its totient is φ = 775656846720.

The previous prime is 2133122244431. The next prime is 2133122244553. The reversal of 2133122244440 is 444422213312.

It is a happy number.

It is a super-3 number, since 3×21331222444403 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2133122244397 and 2133122244406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20755019 + ... + 20857541.

It is an arithmetic number, because the mean of its divisors is an integer number (81812614140).

Almost surely, 22133122244440 is an apocalyptic number.

2133122244440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2133122244440 is an abundant number, since it is smaller than the sum of its proper divisors (3102885060520).

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

2133122244440 is a wasteful number, since it uses less digits than its factorization.

2133122244440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149832 (or 149828 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 2133122244440 its reverse (444422213312), we get a palindrome (2577544457752).

The spelling of 2133122244440 in words is "two trillion, one hundred thirty-three billion, one hundred twenty-two million, two hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 47287 94574 102523 189148 205046 236435 378296 410092 472870 512615 520157 820184 945740 1025230 1040314 1127753 1891480 2050460 2080628 2255506 2600785 4100920 4161256 4511012 5201570 5638765 9022024 10403140 11277530 20806280 22555060 45110120 4848005101 9696010202 19392020404 24240025505 38784040808 48480051010 53328056111 96960102020 106656112222 193920204040 213312224444 266640280555 426624448888 533280561110 1066561122220 2133122244440