Search a number
-
+
310120000110 = 23358581133853
BaseRepresentation
bin1001000001101001001…
…01111010101001101110
31002122110210111022002000
410200310211322221232
520040111210000420
6354244523513130
731256030336004
oct4406445725156
91078423438060
10310120000110
1110a580723158
125012a6887a6
132332364305b
141101d1c0a74
158100d72690
hex483497aa6e

310120000110 has 64 divisors (see below), whose sum is σ = 827089220160. Its totient is φ = 82688411520.

The previous prime is 310120000109. The next prime is 310120000123. The reversal of 310120000110 is 11000021013.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 310120000092 and 310120000101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2249944 + ... + 2383796.

It is an arithmetic number, because the mean of its divisors is an integer number (12923269065).

Almost surely, 2310120000110 is an apocalyptic number.

310120000110 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

310120000110 is an abundant number, since it is smaller than the sum of its proper divisors (516969220050).

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

310120000110 is a wasteful number, since it uses less digits than its factorization.

310120000110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142450 (or 142444 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 310120000110 its reverse (11000021013), we get a palindrome (321120021123).

The spelling of 310120000110 in words is "three hundred ten billion, one hundred twenty million, one hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 8581 17162 25743 42905 51486 77229 85810 128715 133853 154458 231687 257430 267706 386145 401559 463374 669265 772290 803118 1158435 1204677 1338530 2007795 2316870 2409354 3614031 4015590 6023385 7228062 12046770 18070155 36140310 1148592593 2297185186 3445777779 5742962965 6891555558 10337333337 11485925930 17228888895 20674666674 31012000011 34457777790 51686666685 62024000022 103373333370 155060000055 310120000110