Search a number
-
+
2100112196 = 2271319729287
BaseRepresentation
bin111110100101101…
…0010101101000100
312102100201202100012
41331023102231010
513300112042241
6544220405352
7103020442040
oct17513225504
95370652305
102100112196
11988505416
124a73a6858
13276129c50
1415ccb9020
15c458a6eb
hex7d2d2b44

2100112196 has 48 divisors (see below), whose sum is σ = 4546434816. Its totient is φ = 826568064.

The previous prime is 2100112117. The next prime is 2100112207. The reversal of 2100112196 is 6912110012.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57065 + ... + 86351.

It is an arithmetic number, because the mean of its divisors is an integer number (94717392).

Almost surely, 22100112196 is an apocalyptic number.

2100112196 is a gapful number since it is divisible by the number (26) 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 2100112196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2273217408).

2100112196 is an abundant number, since it is smaller than the sum of its proper divisors (2446322620).

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

2100112196 is a wasteful number, since it uses less digits than its factorization.

2100112196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29508 (or 29506 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 23.

The square root of 2100112196 is about 45826.9810919288. The cubic root of 2100112196 is about 1280.6019702734.

The spelling of 2100112196 in words is "two billion, one hundred million, one hundred twelve thousand, one hundred ninety-six".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 197 364 394 788 1379 2561 2758 5122 5516 10244 17927 29287 35854 58574 71708 117148 205009 380731 410018 761462 820036 1522924 2665117 5330234 5769539 10660468 11539078 23078156 40386773 75004007 80773546 150008014 161547092 300016028 525028049 1050056098 2100112196