Search a number
-
+
132530003010 = 23351740037213
BaseRepresentation
bin111101101101101100…
…1110101110001000010
3110200002020120201022000
41323123121311301002
54132410140044020
6140514453524430
712401134303266
oct1733331656102
9420066521260
10132530003010
1151229805909
1221828043716
13c6610aa432
1465b34ca0a6
1536aa019090
hex1edb675c42

132530003010 has 128 divisors (see below), whose sum is σ = 374347733760. Its totient is φ = 33249512448.

The previous prime is 132530002981. The next prime is 132530003017. The reversal of 132530003010 is 10300035231.

132530003010 is a `hidden beast` number, since 1 + 325 + 300 + 0 + 30 + 10 = 666.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (132530003017) 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, 18370164 + ... + 18377376.

It is an arithmetic number, because the mean of its divisors is an integer number (2924591670).

Almost surely, 2132530003010 is an apocalyptic number.

132530003010 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 132530003010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187173866880).

132530003010 is an abundant number, since it is smaller than the sum of its proper divisors (241817730750).

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

132530003010 is a wasteful number, since it uses less digits than its factorization.

132530003010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11249 (or 11243 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

Adding to 132530003010 its reverse (10300035231), we get a palindrome (142830038241).

The spelling of 132530003010 in words is "one hundred thirty-two billion, five hundred thirty million, three thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 135 153 170 255 270 306 459 510 765 918 1530 2295 4003 4590 7213 8006 12009 14426 20015 21639 24018 36027 36065 40030 43278 60045 64917 68051 72054 72130 108081 108195 120090 122621 129834 136102 180135 194751 204153 216162 216390 245242 324585 340255 360270 367863 389502 408306 540405 612459 613105 649170 680510 735726 973755 1020765 1080810 1103589 1224918 1226210 1837377 1839315 1947510 2041530 2207178 3062295 3310767 3674754 3678630 5517945 6124590 6621534 9186885 11035890 16553835 18373770 28873639 33107670 57747278 86620917 144368195 173241834 259862751 288736390 433104585 490851863 519725502 779588253 866209170 981703726 1299313755 1472555589 1559176506 2454259315 2598627510 2945111178 3897941265 4417666767 4908518630 7362777945 7795882530 8835333534 13253000301 14725555890 22088333835 26506000602 44176667670 66265001505 132530003010