Search a number
-
+
120012100110111 = 311294718111473319
BaseRepresentation
bin11011010010011001111110…
…100110001000011100011111
3120201221001012121021022112210
4123102121332212020130133
5111212234240112010421
61103124444144131503
734164405501342126
oct3322317646103437
9521831177238483
10120012100110111
113526a933892010
1211563195606b93
1351c7128243141
14218c88c0aaabd
15dd1bcba9d576
hex6d267e98871f

120012100110111 has 64 divisors (see below), whose sum is σ = 184526611660800. Its totient is φ = 68694335740800.

The previous prime is 120012100110109. The next prime is 120012100110113. The reversal of 120012100110111 is 111011001210021.

It is an interprime number because it is at equal distance from previous prime (120012100110109) and next prime (120012100110113).

It is not a de Polignac number, because 120012100110111 - 21 = 120012100110109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120012100110113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80720310 + ... + 82193628.

It is an arithmetic number, because the mean of its divisors is an integer number (2883228307200).

Almost surely, 2120012100110111 is an apocalyptic number.

120012100110111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

120012100110111 is a deficient number, since it is larger than the sum of its proper divisors (64514511550689).

120012100110111 is a wasteful number, since it uses less digits than its factorization.

120012100110111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475220.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 120012100110111 its reverse (111011001210021), we get a palindrome (231023101320132).

The spelling of 120012100110111 in words is "one hundred twenty trillion, twelve billion, one hundred million, one hundred ten thousand, one hundred eleven".

Divisors: 1 3 11 29 33 47 87 141 319 517 957 1363 1551 1811 4089 5433 14993 19921 44979 52519 59763 85117 157557 255351 577709 936287 1473319 1733127 2468393 2808861 4419957 7405179 16206509 27152323 42726251 48619527 69245993 81456969 128178753 207737979 469988761 761705923 1409966283 2008133797 2285117769 2668180709 6024401391 8004542127 22089471767 29349987799 66268415301 77377240561 88049963397 125404493323 232131721683 376213479969 851149646171 1379449426553 2553448938513 3636730306367 4138348279659 10910190919101 40004033370037 120012100110111