Search a number
-
+
133104223320 = 23355322879151
BaseRepresentation
bin111101111110110100…
…0010100010001011000
3110201120021002010110220
41323331220110101120
54140044140121240
6141051445240040
712421306142055
oct1737550242130
9421507063426
10133104223320
11514a3956052
1221968403020
13c72304ac73
14662988202c
1536e06435d0
hex1efda14458

133104223320 has 128 divisors (see below), whose sum is σ = 407069245440. Its totient is φ = 34805721600.

The previous prime is 133104223283. The next prime is 133104223331. The reversal of 133104223320 is 23322401331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14540745 + ... + 14549895.

It is an arithmetic number, because the mean of its divisors is an integer number (3180228480).

Almost surely, 2133104223320 is an apocalyptic number.

133104223320 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 133104223320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203534622720).

133104223320 is an abundant number, since it is smaller than the sum of its proper divisors (273965022120).

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

133104223320 is a wasteful number, since it uses less digits than its factorization.

133104223320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11505 (or 11501 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 133104223320 its reverse (23322401331), we get a palindrome (156426624651).

The spelling of 133104223320 in words is "one hundred thirty-three billion, one hundred four million, two hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 636 795 1060 1272 1590 2120 2287 3180 4574 6360 6861 9148 9151 11435 13722 18296 18302 22870 27444 27453 34305 36604 45740 45755 54888 54906 68610 73208 91480 91510 109812 121211 137220 137265 183020 219624 242422 274440 274530 363633 366040 484844 485003 549060 606055 727266 969688 970006 1098120 1212110 1454532 1455009 1818165 1940012 2424220 2425015 2909064 2910018 3636330 3880024 4848440 4850030 5820036 7272660 7275045 9700060 11640072 14545320 14550090 19400120 20928337 29100180 41856674 58200360 62785011 83713348 104641685 125570022 167426696 209283370 251140044 313925055 418566740 502280088 627850110 837133480 1109201861 1255700220 2218403722 2511400440 3327605583 4436807444 5546009305 6655211166 8873614888 11092018610 13310422332 16638027915 22184037220 26620844664 33276055830 44368074440 66552111660 133104223320