Search a number
-
+
2113203000 = 233535911939
BaseRepresentation
bin111110111110100…
…1110101100111000
312110021100211112210
41331331032230320
513311434444000
6545405135120
7103236633456
oct17575165470
95407324483
102113203000
11994936767
124ab85a4a0
13278a6159c
141609259d6
15c57c4350
hex7df4eb38

2113203000 has 128 divisors (see below), whose sum is σ = 6705504000. Its totient is φ = 553923200.

The previous prime is 2113202999. The next prime is 2113203013. The reversal of 2113203000 is 3023112.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 171031 + ... + 182969.

It is an arithmetic number, because the mean of its divisors is an integer number (52386750).

Almost surely, 22113203000 is an apocalyptic number.

2113203000 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 2113203000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3352752000).

2113203000 is an abundant number, since it is smaller than the sum of its proper divisors (4592301000).

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

2113203000 is a wasteful number, since it uses less digits than its factorization.

2113203000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12022 (or 12008 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2113203000 is about 45969.5877727873. The cubic root of 2113203000 is about 1283.2572882733.

Adding to 2113203000 its reverse (3023112), we get a palindrome (2116226112).

The spelling of 2113203000 in words is "two billion, one hundred thirteen million, two hundred three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 59 60 75 100 118 120 125 150 177 200 236 250 295 300 354 375 472 500 590 600 708 750 885 1000 1180 1416 1475 1500 1770 2360 2950 3000 3540 4425 5900 7080 7375 8850 11800 11939 14750 17700 22125 23878 29500 35400 35817 44250 47756 59000 59695 71634 88500 95512 119390 143268 177000 179085 238780 286536 298475 358170 477560 596950 704401 716340 895425 1193900 1408802 1432680 1492375 1790850 2113203 2387800 2817604 2984750 3522005 3581700 4226406 4477125 5635208 5969500 7044010 7163400 8452812 8954250 10566015 11939000 14088020 16905624 17610025 17908500 21132030 28176040 35220050 35817000 42264060 52830075 70440100 84528120 88050125 105660150 140880200 176100250 211320300 264150375 352200500 422640600 528300750 704401000 1056601500 2113203000