Search a number
-
+
133020003000 = 23353109406789
BaseRepresentation
bin111101111100010011…
…1000010101010111000
3110201100101121021220210
41323320213002222320
54134411110044000
6141035240151120
712416234240553
oct1737047025270
9421311537823
10133020003000
1151460362085
12219441684a0
13c70b770961
14661c5db69a
1536d8059350
hex1ef89c2ab8

133020003000 has 128 divisors (see below), whose sum is σ = 418830984000. Its totient is φ = 35146483200.

The previous prime is 133020002971. The next prime is 133020003013. The reversal of 133020003000 is 300020331.

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, 123606 + ... + 530394.

Almost surely, 2133020003000 is an apocalyptic number.

133020003000 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 133020003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209415492000).

133020003000 is an abundant number, since it is smaller than the sum of its proper divisors (285810981000).

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

133020003000 is a wasteful number, since it uses less digits than its factorization.

133020003000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406922 (or 406908 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 133020003000 its reverse (300020331), we get a palindrome (133320023331).

The spelling of 133020003000 in words is "one hundred thirty-three billion, twenty million, three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 109 120 125 150 200 218 250 300 327 375 436 500 545 600 654 750 872 1000 1090 1308 1500 1635 2180 2616 2725 3000 3270 4360 5450 6540 8175 10900 13080 13625 16350 21800 27250 32700 40875 54500 65400 81750 109000 163500 327000 406789 813578 1220367 1627156 2033945 2440734 3254312 4067890 4881468 6101835 8135780 9762936 10169725 12203670 16271560 20339450 24407340 30509175 40678900 44340001 48814680 50848625 61018350 81357800 88680002 101697250 122036700 133020003 152545875 177360004 203394500 221700005 244073400 266040006 305091750 354720008 406789000 443400010 532080012 610183500 665100015 886800020 1064160024 1108500025 1220367000 1330200030 1773600040 2217000050 2660400060 3325500075 4434000100 5320800120 5542500125 6651000150 8868000200 11085000250 13302000300 16627500375 22170000500 26604000600 33255000750 44340001000 66510001500 133020003000