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120345102141 = 31121572937207
BaseRepresentation
bin111000000010100100…
…0001000011100111101
3102111122001112121122020
41300011020020130331
53432431321232031
6131141421110353
711460156330045
oct1600510103475
9374561477566
10120345102141
1147046744500
121b3a73b83b9
13b46b847114
145b790da725
1531e5423096
hex1c0520873d

120345102141 has 48 divisors (see below), whose sum is σ = 178127440512. Its totient is φ = 72214496640.

The previous prime is 120345102107. The next prime is 120345102209. The reversal of 120345102141 is 141201543021.

It is not a de Polignac number, because 120345102141 - 213 = 120345093949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120345202141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16694760 + ... + 16701966.

It is an arithmetic number, because the mean of its divisors is an integer number (3710988344).

Almost surely, 2120345102141 is an apocalyptic number.

120345102141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120345102141 is a deficient number, since it is larger than the sum of its proper divisors (57782338371).

120345102141 is a wasteful number, since it uses less digits than its factorization.

120345102141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7682 (or 7671 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 120345102141 its reverse (141201543021), we get a palindrome (261546645162).

The spelling of 120345102141 in words is "one hundred twenty billion, three hundred forty-five million, one hundred two thousand, one hundred forty-one".

Divisors: 1 3 11 33 121 157 293 363 471 879 1727 3223 5181 7207 9669 18997 21621 35453 46001 56991 79277 106359 138003 237831 506011 872047 1131499 1518033 2111651 2616141 3394497 5566121 6334953 12446489 16698363 23228161 37339467 69684483 136911379 255509771 331529207 410734137 766529313 994587621 3646821277 10940463831 40115034047 120345102141