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2100000231 = 327371635527
BaseRepresentation
bin111110100101011…
…0111010111100111
312102100112001202100
41331022313113213
513300100001411
6544214143143
7103016464440
oct17512672747
95370461670
102100000231
1198843928a
124a7351ab3
132760bacb4
1415cc8a2c7
15c4567456
hex7d2b75e7

2100000231 has 48 divisors (see below), whose sum is σ = 3582851584. Its totient is φ = 1160194752.

The previous prime is 2100000209. The next prime is 2100000263. The reversal of 2100000231 is 1320000012.

It is a happy number.

It is not a de Polignac number, because 2100000231 - 210 = 2099999207 is a prime.

It is a super-2 number, since 2×21000002312 = 8820001940400106722, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

2100000231 is a modest number, since divided by 231 gives 21 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100001231) 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, 377190 + ... + 382716.

Almost surely, 22100000231 is an apocalyptic number.

2100000231 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2100000231 is a deficient number, since it is larger than the sum of its proper divisors (1482851353).

2100000231 is a wasteful number, since it uses less digits than its factorization.

2100000231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5740 (or 5737 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2100000231 is about 45825.7594699750. The cubic root of 2100000231 is about 1280.5792119421.

Adding to 2100000231 its reverse (1320000012), we get a palindrome (3420000243).

The spelling of 2100000231 in words is "two billion, one hundred million, two hundred thirty-one", and thus it is an aban number.

Divisors: 1 3 7 9 21 37 63 111 163 259 333 489 777 1141 1467 2331 3423 5527 6031 10269 16581 18093 38689 42217 49743 54279 116067 126651 204499 348201 379953 613497 900901 1431493 1840491 2702703 4294479 6306307 8108109 12883437 18918921 33333337 56756763 100000011 233333359 300000033 700000077 2100000231