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2311220442340 = 22531131110325799
BaseRepresentation
bin100001101000011111011…
…110010011010011100100
322011221122221000101222201
4201220133132103103210
5300331334413123330
64525432055104244
7325660124421325
oct41503736232344
98157587011881
102311220442340
11811201760527
12313b1b072084
13139c40b81474
147dc13c8644c
15401c0771eca
hex21a1f7934e4

2311220442340 has 96 divisors (see below), whose sum is σ = 5053147545600. Its totient is φ = 886997155200.

The previous prime is 2311220442329. The next prime is 2311220442347. The reversal of 2311220442340 is 432440221132.

2311220442340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2311220442299 and 2311220442308.

It is not an unprimeable number, because it can be changed into a prime (2311220442347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89572761 + ... + 89598559.

It is an arithmetic number, because the mean of its divisors is an integer number (52636953600).

Almost surely, 22311220442340 is an apocalyptic number.

2311220442340 is a gapful number since it is divisible by the number (20) 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 2311220442340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2526573772800).

2311220442340 is an abundant number, since it is smaller than the sum of its proper divisors (2741927103260).

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

2311220442340 is a wasteful number, since it uses less digits than its factorization.

2311220442340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27073 (or 27071 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 2311220442340 its reverse (432440221132), we get a palindrome (2743660663472).

The spelling of 2311220442340 in words is "two trillion, three hundred eleven billion, two hundred twenty million, four hundred forty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 131 155 262 310 524 620 655 1103 1310 2206 2620 4061 4412 5515 8122 11030 16244 20305 22060 25799 34193 40610 51598 68386 81220 103196 128995 136772 144493 170965 257990 288986 341930 515980 577972 683860 722465 799769 1444930 1599538 2889860 3199076 3379669 3998845 4479283 6759338 7997690 8958566 13518676 15995380 16898345 17917132 22396415 28456297 33796690 44792830 56912594 67593380 89585660 104769739 113825188 142281485 209539478 284562970 419078956 523848695 569125940 882145207 1047697390 1764290414 2095394780 3528580828 3727774907 4410726035 7455549814 8821452070 14911099628 17642904140 18638874535 37277749070 74555498140 115561022117 231122044234 462244088468 577805110585 1155610221170 2311220442340