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2042312322120 = 233572431324193
BaseRepresentation
bin11101101110000011010…
…011001110110001001000
321020020120020221112002120
4131232003103032301020
5231430123423301440
64202120400531240
7300360255210540
oct35560323166110
97206506845076
102042312322120
1171815a076744
1228b992320b20
1311a7876b4575
1470bc41b6320
15381d29bbdd0
hex1db834cec48

2042312322120 has 64 divisors (see below), whose sum is σ = 7002213678720. Its totient is φ = 466814244864.

The previous prime is 2042312322097. The next prime is 2042312322139. The reversal of 2042312322120 is 212232132402.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1215661257 + ... + 1215662936.

It is an arithmetic number, because the mean of its divisors is an integer number (109409588730).

Almost surely, 22042312322120 is an apocalyptic number.

2042312322120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042312322120 is an abundant number, since it is smaller than the sum of its proper divisors (4959901356600).

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

2042312322120 is a wasteful number, since it uses less digits than its factorization.

2042312322120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2431324214 (or 2431324210 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2042312322120 its reverse (212232132402), we get a palindrome (2254544454522).

The spelling of 2042312322120 in words is "two trillion, forty-two billion, three hundred twelve million, three hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 2431324193 4862648386 7293972579 9725296772 12156620965 14587945158 17019269351 19450593544 24313241930 29175890316 34038538702 36469862895 48626483860 51057808053 58351780632 68077077404 72939725790 85096346755 97252967720 102115616106 136154154808 145879451580 170192693510 204231232212 255289040265 291758903160 340385387020 408462464424 510578080530 680770774040 1021156161060 2042312322120