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134231130 = 232511413307
BaseRepresentation
bin10000000000000…
…11010001011010
3100100120122111100
420000003101122
5233330344010
621153012230
73216642255
oct1000032132
9310518440
10134231130
1169851920
1238b54076
1321a6a607
1413b8209c
15bbb72c0
hex800345a

134231130 has 96 divisors (see below), whose sum is σ = 390132288. Its totient is φ = 31737600.

The previous prime is 134231129. The next prime is 134231131. The reversal of 134231130 is 31132431.

It is an interprime number because it is at equal distance from previous prime (134231129) and next prime (134231131).

It is a super-2 number, since 2×1342311302 = 36035992522153800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (134231131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38937 + ... + 42243.

It is an arithmetic number, because the mean of its divisors is an integer number (4063878).

Almost surely, 2134231130 is an apocalyptic number.

134231130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 134231130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195066144).

134231130 is an abundant number, since it is smaller than the sum of its proper divisors (255901158).

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

134231130 is a wasteful number, since it uses less digits than its factorization.

134231130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3372 (or 3369 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 134231130 is about 11585.8158970355. The cubic root of 134231130 is about 512.0170409571.

Adding to 134231130 its reverse (31132431), we get a palindrome (165363561).

It can be divided in two parts, 1342311 and 30, that added together give a triangular number (1342341 = T1638).

The spelling of 134231130 in words is "one hundred thirty-four million, two hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 41 45 55 66 82 90 99 110 123 165 198 205 246 330 369 410 451 495 615 738 902 990 1230 1353 1845 2255 2706 3307 3690 4059 4510 6614 6765 8118 9921 13530 16535 19842 20295 29763 33070 36377 40590 49605 59526 72754 99210 109131 135587 148815 181885 218262 271174 297630 327393 363770 406761 545655 654786 677935 813522 1091310 1220283 1355870 1491457 1636965 2033805 2440566 2982914 3273930 4067610 4474371 6101415 7457285 8948742 12202830 13423113 14914570 22371855 26846226 44743710 67115565 134231130