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2340120442100 = 225273559939317
BaseRepresentation
bin100010000011011010000…
…011000011010011110100
322021201021000110111201012
4202003122003003103310
5301320031313121400
64551011514251352
7331032236363360
oct42033203032364
98251230414635
102340120442100
11822491a8a051
12319645726b58
1313c89839573c
14813961922a0
1540d12a14d35
hex220da0c34f4

2340120442100 has 72 divisors (see below), whose sum is σ = 5805135530880. Its totient is φ = 802100718720.

The previous prime is 2340120442097. The next prime is 2340120442103. The reversal of 2340120442100 is 12440210432.

It is an interprime number because it is at equal distance from previous prime (2340120442097) and next prime (2340120442103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2340120442103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2021642 + ... + 2960958.

Almost surely, 22340120442100 is an apocalyptic number.

2340120442100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2340120442100 is an abundant number, since it is smaller than the sum of its proper divisors (3465015088780).

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

2340120442100 is a wasteful number, since it uses less digits than its factorization.

2340120442100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942897 (or 942890 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 2340120442100 its reverse (12440210432), we get a palindrome (2352560652532).

The spelling of 2340120442100 in words is "two trillion, three hundred forty billion, one hundred twenty million, four hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 3559 7118 14236 17795 24913 35590 49826 71180 88975 99652 124565 177950 249130 355900 498260 622825 939317 1245650 1878634 2491300 3757268 4696585 6575219 9393170 13150438 18786340 23482925 26300876 32876095 46965850 65752190 93931700 131504380 164380475 328760950 657521900 3343029203 6686058406 13372116812 16715146015 23401204421 33430292030 46802408842 66860584060 83575730075 93604817684 117006022105 167151460150 234012044210 334302920300 468024088420 585030110525 1170060221050 2340120442100