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319550130 = 233529371103
BaseRepresentation
bin10011000010111…
…111001010110010
3211021021211101000
4103002333022302
51123301101010
651413022430
710630063014
oct2302771262
9737254330
10319550130
11154417819
128b024a16
1351284523
14306221b4
151d0c17c0
hex130bf2b2

319550130 has 128 divisors (see below), whose sum is σ = 906163200. Its totient is φ = 79978752.

The previous prime is 319550123. The next prime is 319550131. The reversal of 319550130 is 31055913.

It is a super-2 number, since 2×3195501302 = 204224571166033800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 319550094 and 319550103.

It is not an unprimeable number, because it can be changed into a prime (319550131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 289159 + ... + 290261.

It is an arithmetic number, because the mean of its divisors is an integer number (7079400).

Almost surely, 2319550130 is an apocalyptic number.

319550130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 319550130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453081600).

319550130 is an abundant number, since it is smaller than the sum of its proper divisors (586613070).

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

319550130 is a wasteful number, since it uses less digits than its factorization.

319550130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 2025, while the sum is 27.

The square root of 319550130 is about 17875.9651487689. The cubic root of 319550130 is about 683.6697004829.

The spelling of 319550130 in words is "three hundred nineteen million, five hundred fifty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 37 45 54 58 74 87 90 111 135 145 174 185 222 261 270 290 333 370 435 522 555 666 783 870 999 1073 1103 1110 1305 1566 1665 1998 2146 2206 2610 3219 3309 3330 3915 4995 5365 5515 6438 6618 7830 9657 9927 9990 10730 11030 16095 16545 19314 19854 28971 29781 31987 32190 33090 40811 48285 49635 57942 59562 63974 81622 95961 96570 99270 122433 144855 148905 159935 191922 204055 244866 287883 289710 297810 319870 367299 408110 479805 575766 612165 734598 863649 959610 1101897 1183519 1224330 1439415 1727298 1836495 2203794 2367038 2878830 3550557 3672990 4318245 5509485 5917595 7101114 8636490 10651671 11018970 11835190 17752785 21303342 31955013 35505570 53258355 63910026 106516710 159775065 319550130