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2110203420 = 2235133118699
BaseRepresentation
bin111110111000111…
…0010011000011100
312110001201102220020
41331301302120130
513310203002140
6545220552140
7103202301363
oct17561623034
95401642806
102110203420
11993178076
124aa852650
132782511a0
141603847da
15c53d06d0
hex7dc7261c

2110203420 has 96 divisors (see below), whose sum is σ = 6384268800. Its totient is φ = 517704960.

The previous prime is 2110203397. The next prime is 2110203437. The reversal of 2110203420 is 243020112.

It is a super-4 number, since 4×21102034204 (a number of 38 digits) contains 4444 as substring.

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 2110203420.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 238231 + ... + 246929.

It is an arithmetic number, because the mean of its divisors is an integer number (66502800).

Almost surely, 22110203420 is an apocalyptic number.

2110203420 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 2110203420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3192134400).

2110203420 is an abundant number, since it is smaller than the sum of its proper divisors (4274065380).

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

2110203420 is a wasteful number, since it uses less digits than its factorization.

2110203420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9035 (or 9033 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2110203420 is about 45936.9504865092. The cubic root of 2110203420 is about 1282.6498287920.

Adding to 2110203420 its reverse (243020112), we get a palindrome (2353223532).

The spelling of 2110203420 in words is "two billion, one hundred ten million, two hundred three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 311 390 622 780 933 1244 1555 1866 3110 3732 4043 4665 6220 8086 8699 9330 12129 16172 17398 18660 20215 24258 26097 34796 40430 43495 48516 52194 60645 80860 86990 104388 113087 121290 130485 173980 226174 242580 260970 339261 452348 521940 565435 678522 1130870 1357044 1696305 2261740 2705389 3392610 5410778 6785220 8116167 10821556 13526945 16232334 27053890 32464668 35170057 40580835 54107780 70340114 81161670 105510171 140680228 162323340 175850285 211020342 351700570 422040684 527550855 703401140 1055101710 2110203420