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120141132111 = 3272111329179367
BaseRepresentation
bin110111111100011111…
…0000011000101001111
3102111002211201212100200
41233320332003011033
53432022112211421
6131105253224543
711452131526200
oct1577076030517
9374084655320
10120141132111
1146a5159a830
121b34b032153
13b4384ccab0
145b59da35a7
1531d2582726
hex1bf8f8314f

120141132111 has 288 divisors, whose sum is σ = 247382553600. Its totient is φ = 55162114560.

The previous prime is 120141132107. The next prime is 120141132119. The reversal of 120141132111 is 111231141021.

It is not a de Polignac number, because 120141132111 - 22 = 120141132107 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120141132119) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 327359850 + ... + 327360216.

It is an arithmetic number, because the mean of its divisors is an integer number (858967200).

Almost surely, 2120141132111 is an apocalyptic number.

120141132111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

120141132111 is an abundant number, since it is smaller than the sum of its proper divisors (127241421489).

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

120141132111 is a wasteful number, since it uses less digits than its factorization.

120141132111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 120141132111 its reverse (111231141021), we get a palindrome (231372273132).

It can be divided in two parts, 120141 and 132111, that added together give a palindrome (252252).

The spelling of 120141132111 in words is "one hundred twenty billion, one hundred forty-one million, one hundred thirty-two thousand, one hundred eleven".