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133102320 = 243513371153
BaseRepresentation
bin1111110111011…
…11101011110000
3100021110022001120
413323233223300
5233033233240
621112502240
73204231261
oct773575360
9307408046
10133102320
116915081a
12386aa980
1321763890
141396a968
15ba42ad0
hex7eefaf0

133102320 has 160 divisors (see below), whose sum is σ = 456762432. Its totient is φ = 31850496.

The previous prime is 133102297. The next prime is 133102327. The reversal of 133102320 is 23201331.

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

It is a self number, because there is not a number n which added to its sum of digits gives 133102320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133102327) by changing a digit.

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, 114864 + ... + 116016.

Almost surely, 2133102320 is an apocalyptic number.

133102320 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 133102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228381216).

133102320 is an abundant number, since it is smaller than the sum of its proper divisors (323660112).

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

133102320 is a wasteful number, since it uses less digits than its factorization.

133102320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 133102320 is about 11536.9978763975. The cubic root of 133102320 is about 510.5777382053.

Adding to 133102320 its reverse (23201331), we get a palindrome (156303651).

The spelling of 133102320 in words is "one hundred thirty-three million, one hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 37 39 40 48 52 60 65 74 78 80 104 111 120 130 148 156 185 195 208 222 240 260 296 312 370 390 444 481 520 555 592 624 740 780 888 962 1040 1110 1153 1443 1480 1560 1776 1924 2220 2306 2405 2886 2960 3120 3459 3848 4440 4612 4810 5765 5772 6918 7215 7696 8880 9224 9620 11530 11544 13836 14430 14989 17295 18448 19240 23060 23088 27672 28860 29978 34590 38480 42661 44967 46120 55344 57720 59956 69180 74945 85322 89934 92240 115440 119912 127983 138360 149890 170644 179868 213305 224835 239824 255966 276720 299780 341288 359736 426610 449670 511932 554593 599560 639915 682576 719472 853220 899340 1023864 1109186 1199120 1279830 1663779 1706440 1798680 2047728 2218372 2559660 2772965 3327558 3412880 3597360 4436744 5119320 5545930 6655116 8318895 8873488 10238640 11091860 13310232 16637790 22183720 26620464 33275580 44367440 66551160 133102320