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2343403242100 = 2252157227657539
BaseRepresentation
bin100010000110011101101…
…101111100001001110100
322022000201210122000201101
4202012131231330021310
5301343242212221400
64552313344135444
7331206500621014
oct42063555741164
98260653560641
102343403242100
118239170462a8
1231a201007584
1313cc9c534c4b
14815c8171c44
1540e55d1b56a
hex2219db7c274

2343403242100 has 72 divisors (see below), whose sum is σ = 5140126948320. Its totient is φ = 927286389120.

The previous prime is 2343403242073. The next prime is 2343403242113. The reversal of 2343403242100 is 12423043432.

2343403242100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3235131 + ... + 3892669.

It is an arithmetic number, because the mean of its divisors is an integer number (71390652060).

Almost surely, 22343403242100 is an apocalyptic number.

2343403242100 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 2343403242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2570063474160).

2343403242100 is an abundant number, since it is smaller than the sum of its proper divisors (2796723706220).

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

2343403242100 is a wasteful number, since it uses less digits than its factorization.

2343403242100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657937 (or 657930 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 2343403242100 its reverse (12423043432), we get a palindrome (2355826285532).

The spelling of 2343403242100 in words is "two trillion, three hundred forty-three billion, four hundred three million, two hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 157 227 314 454 628 785 908 1135 1570 2270 3140 3925 4540 5675 7850 11350 15700 22700 35639 71278 142556 178195 356390 657539 712780 890975 1315078 1781950 2630156 3287695 3563900 6575390 13150780 16438475 32876950 65753900 103233623 149261353 206467246 298522706 412934492 516168115 597045412 746306765 1032336230 1492613530 2064672460 2580840575 2985227060 3731533825 5161681150 7463067650 10323362300 14926135300 23434032421 46868064842 93736129684 117170162105 234340324210 468680648420 585850810525 1171701621050 2343403242100