Search a number
-
+
2100403332 = 2233236771249
BaseRepresentation
bin111110100110001…
…1001110010000100
312102101021112201000
41331030121302010
513300200401312
6544230533300
7103023063606
oct17514316204
95371245630
102100403332
11988694125
124a7507230
132761cc611
1415cd53176
15c45e6adc
hex7d319c84

2100403332 has 96 divisors (see below), whose sum is σ = 5695200000. Its totient is φ = 668169216.

The previous prime is 2100403247. The next prime is 2100403339. The reversal of 2100403332 is 2333040012.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2100403339) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1681044 + ... + 1682292.

It is an arithmetic number, because the mean of its divisors is an integer number (59325000).

Almost surely, 22100403332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100403332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2847600000).

2100403332 is an abundant number, since it is smaller than the sum of its proper divisors (3594796668).

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

2100403332 is a wasteful number, since it uses less digits than its factorization.

2100403332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2100403332 is about 45830.1574511805. The cubic root of 2100403332 is about 1280.6611436371.

Adding to 2100403332 its reverse (2333040012), we get a palindrome (4433443344).

It can be divided in two parts, 2100403 and 332, that multiplied together give a palindrome (697333796).

The spelling of 2100403332 in words is "two billion, one hundred million, four hundred three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 677 828 1242 1249 1354 2031 2484 2498 2708 3747 4062 4996 6093 7494 8124 11241 12186 14988 15571 18279 22482 24372 28727 31142 33723 36558 44964 46713 57454 62284 67446 73116 86181 93426 114908 134892 140139 172362 186852 258543 280278 344724 420417 517086 560556 775629 840834 845573 1034172 1551258 1681668 1691146 2536719 3102516 3382292 5073438 7610157 10146876 15220314 19448179 22830471 30440628 38896358 45660942 58344537 77792716 91321884 116689074 175033611 233378148 350067222 525100833 700134444 1050201666 2100403332