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1320220110 = 235112367991
BaseRepresentation
bin100111010110000…
…1111010111001110
310102000020010112010
41032230033113032
510200434020420
6335000522050
744500454136
oct11654172716
93360203463
101320220110
11618258a00
1230a180326
13180697641
14c74a5ac6
157ad864e0
hex4eb0f5ce

1320220110 has 96 divisors (see below), whose sum is σ = 3495776256. Its totient is φ = 318859200.

The previous prime is 1320220093. The next prime is 1320220123. The reversal of 1320220110 is 110220231.

It is a super-2 number, since 2×13202201102 = 3485962277696824200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1331715 + ... + 1332705.

It is an arithmetic number, because the mean of its divisors is an integer number (36414336).

Almost surely, 21320220110 is an apocalyptic number.

1320220110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320220110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747888128).

1320220110 is an abundant number, since it is smaller than the sum of its proper divisors (2175556146).

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

1320220110 is a wasteful number, since it uses less digits than its factorization.

1320220110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1320220110 is about 36334.8332870814. The cubic root of 1320220110 is about 1097.0222798639.

Adding to 1320220110 its reverse (110220231), we get a palindrome (1430440341).

The spelling of 1320220110 in words is "one billion, three hundred twenty million, two hundred twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 367 605 726 734 991 1101 1210 1815 1835 1982 2202 2973 3630 3670 4037 4955 5505 5946 8074 9910 10901 11010 12111 14865 20185 21802 24222 29730 32703 40370 44407 54505 60555 65406 88814 109010 119911 121110 133221 163515 222035 239822 266442 327030 359733 363697 444070 599555 666105 719466 727394 1091091 1199110 1332210 1798665 1818485 2182182 3597330 3636970 4000667 5455455 8001334 10910910 12002001 20003335 24004002 40006670 44007337 60010005 88014674 120020010 132022011 220036685 264044022 440073370 660110055 1320220110