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2110031300 = 2252132997577
BaseRepresentation
bin111110111000100…
…1000010111000100
312110001101200210102
41331301020113010
513310132000200
6545213143232
7103200653516
oct17561102704
95401350712
102110031300
1199306a823
124aa78ab18
132781c0a40
1416033bbb6
15c53996d5
hex7dc485c4

2110031300 has 144 divisors (see below), whose sum is σ = 5162534160. Its totient is φ = 743178240.

The previous prime is 2110031291. The next prime is 2110031309. The reversal of 2110031300 is 31300112.

It is an interprime number because it is at equal distance from previous prime (2110031291) and next prime (2110031309).

It can be written as a sum of positive squares in 24 ways, for example, as 1053911296 + 1056120004 = 32464^2 + 32498^2 .

It is not an unprimeable number, because it can be changed into a prime (2110031309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3656612 + ... + 3657188.

Almost surely, 22110031300 is an apocalyptic number.

2110031300 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 2110031300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2581267080).

2110031300 is an abundant number, since it is smaller than the sum of its proper divisors (3052502860).

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

2110031300 is a wasteful number, since it uses less digits than its factorization.

2110031300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 2110031300 is about 45935.0770109292. The cubic root of 2110031300 is about 1282.6149544778.

Adding to 2110031300 its reverse (31300112), we get a palindrome (2141331412).

The spelling of 2110031300 in words is "two billion, one hundred ten million, thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 29 50 52 58 65 97 100 116 130 145 194 260 290 325 377 388 485 577 580 650 725 754 970 1154 1261 1300 1450 1508 1885 1940 2308 2425 2522 2813 2885 2900 3770 4850 5044 5626 5770 6305 7501 7540 9425 9700 11252 11540 12610 14065 14425 15002 16733 18850 25220 28130 28850 30004 31525 33466 36569 37505 37700 55969 56260 57700 63050 66932 70325 73138 75010 83665 111938 126100 140650 146276 150020 167330 182845 187525 217529 223876 279845 281300 334660 365690 375050 418325 435058 559690 727597 731380 750100 836650 870116 914225 1087645 1119380 1399225 1455194 1623101 1673300 1828450 2175290 2798450 2910388 3246202 3637985 3656900 4350580 5438225 5596900 6492404 7275970 8115505 10876450 14551940 16231010 18189925 21100313 21752900 32462020 36379850 40577525 42200626 72759700 81155050 84401252 105501565 162310100 211003130 422006260 527507825 1055015650 2110031300