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2114003100 = 2235211258237
BaseRepresentation
bin111111000000001…
…0010000010011100
312110022212111002010
41332000102002130
513312141044400
6545434231220
7103246505226
oct17600220234
95408774063
102114003100
11995332900
124abb85510
13278c81811
14160a93416
15c58d1450
hex7e01209c

2114003100 has 108 divisors (see below), whose sum is σ = 6723227672. Its totient is φ = 512476800.

The previous prime is 2114003051. The next prime is 2114003123. The reversal of 2114003100 is 13004112.

It is a happy number.

It is a super-2 number, since 2×21140031002 = 8938018213619220000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7182 + ... + 65418.

Almost surely, 22114003100 is an apocalyptic number.

2114003100 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 2114003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3361613836).

2114003100 is an abundant number, since it is smaller than the sum of its proper divisors (4609224572).

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

2114003100 is a wasteful number, since it uses less digits than its factorization.

2114003100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58276 (or 58258 counting only the distinct ones).

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

The square root of 2114003100 is about 45978.2894418659. The cubic root of 2114003100 is about 1283.4192232764.

Adding to 2114003100 its reverse (13004112), we get a palindrome (2127007212).

The spelling of 2114003100 in words is "two billion, one hundred fourteen million, three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 121 132 150 165 220 242 275 300 330 363 484 550 605 660 726 825 1100 1210 1452 1650 1815 2420 3025 3300 3630 6050 7260 9075 12100 18150 36300 58237 116474 174711 232948 291185 349422 582370 640607 698844 873555 1164740 1281214 1455925 1747110 1921821 2562428 2911850 3203035 3494220 3843642 4367775 5823700 6406070 7046677 7687284 8735550 9609105 12812140 14093354 16015175 17471100 19218210 21140031 28186708 32030350 35233385 38436420 42280062 48045525 64060700 70466770 84560124 96091050 105700155 140933540 176166925 192182100 211400310 352333850 422800620 528500775 704667700 1057001550 2114003100