Search a number
-
+
133111203000 = 2335388750023
BaseRepresentation
bin111101111111000001…
…0111100010010111000
3110201120202012201210120
41323332002330102320
54140102431444000
6141052255013240
712421422362016
oct1737602742270
9421522181716
10133111203000
11514a7892a86
122196a80a220
13c724622b59
14662a77b8b6
1536e10716a0
hex1efe0bc4b8

133111203000 has 128 divisors (see below), whose sum is σ = 415783480320. Its totient is φ = 35455593600.

The previous prime is 133111202993. The next prime is 133111203011. The reversal of 133111203000 is 302111331.

133111203000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 2635989 + ... + 2686011.

It is an arithmetic number, because the mean of its divisors is an integer number (3248308440).

Almost surely, 2133111203000 is an apocalyptic number.

133111203000 is a gapful number since it is divisible by the number (10) 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 133111203000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207891740160).

133111203000 is an abundant number, since it is smaller than the sum of its proper divisors (282672277320).

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

133111203000 is a wasteful number, since it uses less digits than its factorization.

133111203000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50934 (or 50920 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 133111203000 its reverse (302111331), we get a palindrome (133413314331).

The spelling of 133111203000 in words is "one hundred thirty-three billion, one hundred eleven million, two hundred three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 887 1000 1500 1774 2661 3000 3548 4435 5322 7096 8870 10644 13305 17740 21288 22175 26610 35480 44350 50023 53220 66525 88700 100046 106440 110875 133050 150069 177400 200092 221750 250115 266100 300138 332625 400184 443500 500230 532200 600276 665250 750345 887000 1000460 1200552 1250575 1330500 1500690 2000920 2501150 2661000 3001380 3751725 5002300 6002760 6252875 7503450 10004600 12505750 15006900 18758625 25011500 30013800 37517250 44370401 50023000 75034500 88740802 133111203 150069000 177481604 221852005 266222406 354963208 443704010 532444812 665556015 887408020 1064889624 1109260025 1331112030 1774816040 2218520050 2662224060 3327780075 4437040100 5324448120 5546300125 6655560150 8874080200 11092600250 13311120300 16638900375 22185200500 26622240600 33277800750 44370401000 66555601500 133111203000