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133231030400 = 2752133202669
BaseRepresentation
bin111110000010100110…
…0000011000010000000
3110201220002200121002102
41330011030003002000
54140324120433100
6141112215205532
712424406034026
oct1740514030200
9421802617072
10133231030400
1151559497096
12219a29768a8
13c7433b9340
14663c650716
1536eb840cd5
hex1f05303080

133231030400 has 96 divisors (see below), whose sum is σ = 354439488900. Its totient is φ = 49192980480.

The previous prime is 133231030391. The next prime is 133231030403. The reversal of 133231030400 is 4030132331.

It can be written as a sum of positive squares in 6 ways, for example, as 11954360896 + 121276669504 = 109336^2 + 348248^2 .

It is a super-2 number, since 2×1332310304002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (133231030403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1559735 + ... + 1642934.

Almost surely, 2133231030400 is an apocalyptic number.

133231030400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133231030400 is an abundant number, since it is smaller than the sum of its proper divisors (221208458500).

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

133231030400 is a wasteful number, since it uses less digits than its factorization.

133231030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3202706 (or 3202689 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 133231030400 its reverse (4030132331), we get a palindrome (137261162731).

The spelling of 133231030400 in words is "one hundred thirty-three billion, two hundred thirty-one million, thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 128 130 160 200 208 260 320 325 400 416 520 640 650 800 832 1040 1300 1600 1664 2080 2600 3200 4160 5200 8320 10400 20800 41600 3202669 6405338 12810676 16013345 25621352 32026690 41634697 51242704 64053380 80066725 83269394 102485408 128106760 160133450 166538788 204970816 208173485 256213520 320266900 333077576 409941632 416346970 512427040 640533800 666155152 832693940 1024854080 1040867425 1281067600 1332310304 1665387880 2049708160 2081734850 2562135200 2664620608 3330775760 4163469700 5124270400 5329241216 6661551520 8326939400 10248540800 13323103040 16653878800 26646206080 33307757600 66615515200 133231030400