Search a number
-
+
2102100012 = 223441158243
BaseRepresentation
bin111110101001011…
…1000000000101100
312102111110202010000
41331102320000230
513301114200022
6544331144300
7103043361315
oct17522700054
95374422100
102102100012
11989642941
124a7ba5090
1327667497c
1415d27560c
15c482e6ac
hex7d4b802c

2102100012 has 60 divisors (see below), whose sum is σ = 5629372056. Its totient is φ = 683605440.

The previous prime is 2102100001. The next prime is 2102100037. The reversal of 2102100012 is 2100012012.

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

It is a junction number, because it is equal to n+sod(n) for n = 2102099967 and 2102100003.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 65838 + ... + 92405.

Almost surely, 22102100012 is an apocalyptic number.

It is an amenable number.

2102100012 is an abundant number, since it is smaller than the sum of its proper divisors (3527272044).

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

2102100012 is a wasteful number, since it uses less digits than its factorization.

2102100012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158300 (or 158289 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2102100012 is about 45848.6642335412. The cubic root of 2102100012 is about 1281.0058849392.

Adding to 2102100012 its reverse (2100012012), we get a palindrome (4202112024).

The spelling of 2102100012 in words is "two billion, one hundred two million, one hundred thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 246 324 369 492 738 1107 1476 2214 3321 4428 6642 13284 158243 316486 474729 632972 949458 1424187 1898916 2848374 4272561 5696748 6487963 8545122 12817683 12975926 17090244 19463889 25635366 25951852 38927778 51270732 58391667 77855556 116783334 175175001 233566668 350350002 525525003 700700004 1051050006 2102100012