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2340402202100 = 2252106721219301
BaseRepresentation
bin100010000011101010110…
…101111000010111110100
322021201222122122101202202
4202003222311320113310
5301321120430431400
64551055501324032
7331042230324164
oct42035265702764
98251878571682
102340402202100
11822617035556
12319703b66618
1313c911878231
14813c17785a4
1540d2c61e4d5
hex220ead785f4

2340402202100 has 36 divisors (see below), whose sum is σ = 5078743525548. Its totient is φ = 936147840000.

The previous prime is 2340402202091. The next prime is 2340402202183. The reversal of 2340402202100 is 12022040432.

2340402202100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 340021936996 + 2000380265104 = 583114^2 + 1414348^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10562450 + ... + 10781750.

It is an arithmetic number, because the mean of its divisors is an integer number (141076209043).

Almost surely, 22340402202100 is an apocalyptic number.

2340402202100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2340402202100 is an abundant number, since it is smaller than the sum of its proper divisors (2738341323448).

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

2340402202100 is a wasteful number, since it uses less digits than its factorization.

2340402202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326036 (or 326029 counting only the distinct ones).

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

Adding to 2340402202100 its reverse (12022040432), we get a palindrome (2352424242532).

The spelling of 2340402202100 in words is "two trillion, three hundred forty billion, four hundred two million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 106721 213442 219301 426884 438602 533605 877204 1067210 1096505 2134420 2193010 2668025 4386020 5336050 5482525 10672100 10965050 21930100 23404022021 46808044042 93616088084 117020110105 234040220210 468080440420 585100550525 1170201101050 2340402202100