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2104111020 = 2235119913217
BaseRepresentation
bin111110101101010…
…0010111110101100
312102122020220200210
41331122202332230
513302123023040
6544442222420
7103066435314
oct17532427654
95378226623
102104111020
1198a796830
124a87b4a10
13276bca10b
1415d63a444
15c4aca480
hex7d6a2fac

2104111020 has 96 divisors (see below), whose sum is σ = 6435588096. Its totient is φ = 509414400.

The previous prime is 2104111007. The next prime is 2104111027. The reversal of 2104111020 is 201114012.

It is a happy number.

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 = 2104110987 and 2104111005.

It is not an unprimeable number, because it can be changed into a prime (2104111027) by changing a digit.

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, 652452 + ... + 655668.

It is an arithmetic number, because the mean of its divisors is an integer number (67037376).

Almost surely, 22104111020 is an apocalyptic number.

2104111020 is a gapful number since it is divisible by the number (20) 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 2104111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3217794048).

2104111020 is an abundant number, since it is smaller than the sum of its proper divisors (4331477076).

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

2104111020 is a wasteful number, since it uses less digits than its factorization.

2104111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4231 (or 4229 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2104111020 is about 45870.5899242641. The cubic root of 2104111020 is about 1281.4142530807.

Adding to 2104111020 its reverse (201114012), we get a palindrome (2305225032).

The spelling of 2104111020 in words is "two billion, one hundred four million, one hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 991 1982 2973 3217 3964 4955 5946 6434 9651 9910 10901 11892 12868 14865 16085 19302 19820 21802 29730 32170 32703 35387 38604 43604 48255 54505 59460 64340 65406 70774 96510 106161 109010 130812 141548 163515 176935 193020 212322 218020 327030 353870 424644 530805 654060 707740 1061610 2123220 3188047 6376094 9564141 12752188 15940235 19128282 31880470 35068517 38256564 47820705 63760940 70137034 95641410 105205551 140274068 175342585 191282820 210411102 350685170 420822204 526027755 701370340 1052055510 2104111020