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1110313020 = 2235373311511
BaseRepresentation
bin100001000101110…
…0000100000111100
32212101020202010110
41002023200200330
54233220004040
6302101510020
736341335125
oct10213404074
92771222113
101110313020
1151a819673
1226ba12310
13149051b6b
14a766504c
1567721980
hex422e083c

1110313020 has 96 divisors (see below), whose sum is σ = 3204665856. Its totient is φ = 287020800.

The previous prime is 1110312997. The next prime is 1110313031. The reversal of 1110313020 is 203130111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1110312987 and 1110313005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 734065 + ... + 735575.

It is an arithmetic number, because the mean of its divisors is an integer number (33381936).

Almost surely, 21110313020 is an apocalyptic number.

1110313020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1110313020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602332928).

1110313020 is an abundant number, since it is smaller than the sum of its proper divisors (2094352836).

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

1110313020 is a wasteful number, since it uses less digits than its factorization.

1110313020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1891 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1110313020 is about 33321.3598161900. The cubic root of 1110313020 is about 1035.4961237888.

Adding to 1110313020 its reverse (203130111), we get a palindrome (1313443131).

The spelling of 1110313020 in words is "one billion, one hundred ten million, three hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 331 370 444 555 662 740 993 1110 1324 1511 1655 1986 2220 3022 3310 3972 4533 4965 6044 6620 7555 9066 9930 12247 15110 18132 19860 22665 24494 30220 36741 45330 48988 55907 61235 73482 90660 111814 122470 146964 167721 183705 223628 244940 279535 335442 367410 500141 559070 670884 734820 838605 1000282 1118140 1500423 1677210 2000564 2500705 3000846 3354420 5001410 6001692 7502115 10002820 15004230 18505217 30008460 37010434 55515651 74020868 92526085 111031302 185052170 222062604 277578255 370104340 555156510 1110313020