Search a number
-
+
120212010220110 = 235171791316814659
BaseRepresentation
bin11011010101010100001010…
…001010101011101001001110
3120202122011012200102010010220
4123111110022022223221032
5111224023144104020420
61103400345103412210
734215013451262144
oct3325241212535116
9522564180363126
10120212010220110
1135337699937556
1211595a86bb4066
13520cc36a4b463
14219841426d594
15dd6ecc1b8840
hex6d550a2aba4e

120212010220110 has 64 divisors (see below), whose sum is σ = 307186523884800. Its totient is φ = 30002305167872.

The previous prime is 120212010220091. The next prime is 120212010220129. The reversal of 120212010220110 is 11022010212021.

It is an interprime number because it is at equal distance from previous prime (120212010220091) and next prime (120212010220129).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120212010220110.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 658316040 + ... + 658498619.

It is an arithmetic number, because the mean of its divisors is an integer number (4799789435700).

Almost surely, 2120212010220110 is an apocalyptic number.

120212010220110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120212010220110 is an abundant number, since it is smaller than the sum of its proper divisors (186974513664690).

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

120212010220110 is a wasteful number, since it uses less digits than its factorization.

120212010220110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316814865.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 120212010220110 its reverse (11022010212021), we get a palindrome (131234020432131).

The spelling of 120212010220110 in words is "one hundred twenty trillion, two hundred twelve billion, ten million, two hundred twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 179 255 358 510 537 895 1074 1790 2685 3043 5370 6086 9129 15215 18258 30430 45645 91290 1316814659 2633629318 3950443977 6584073295 7900887954 13168146590 19752219885 22385849203 39504439770 44771698406 67157547609 111929246015 134315095218 223858492030 235709823961 335787738045 471419647922 671575476090 707129471883 1178549119805 1414258943766 2357098239610 3535647359415 4007067007337 7071294718830 8014134014674 12021201022011 20035335036685 24042402044022 40070670073370 60106005110055 120212010220110