Search a number
-
+
132233001030 = 232513138181839
BaseRepresentation
bin111101100100110110…
…0110111100001000110
3110122022112201110011200
41323021230313201012
54131303122013110
6140425204043330
712360566651304
oct1731154674106
9418275643150
10132233001030
1151097099929
1221764693546
13c6146bc110
146585c97274
15368dded6c0
hex1ec9b37846

132233001030 has 96 divisors (see below), whose sum is σ = 370525034880. Its totient is φ = 32525694720.

The previous prime is 132233000947. The next prime is 132233001079. The reversal of 132233001030 is 30100332231.

132233001030 is a `hidden beast` number, since 1 + 322 + 3 + 300 + 10 + 30 = 666.

It is a super-2 number, since 2×1322330010302 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 132233000994 and 132233001012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1574851 + ... + 1656689.

It is an arithmetic number, because the mean of its divisors is an integer number (3859635780).

Almost surely, 2132233001030 is an apocalyptic number.

132233001030 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 132233001030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185262517440).

132233001030 is an abundant number, since it is smaller than the sum of its proper divisors (238292033850).

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

132233001030 is a wasteful number, since it uses less digits than its factorization.

132233001030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83246 (or 83243 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 132233001030 its reverse (30100332231), we get a palindrome (162333333261).

The spelling of 132233001030 in words is "one hundred thirty-two billion, two hundred thirty-three million, one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 1381 2762 4143 6905 8286 12429 13810 17953 20715 24858 35906 41430 53859 62145 81839 89765 107718 124290 161577 163678 179530 245517 269295 323154 409195 491034 538590 736551 807885 818390 1063907 1227585 1473102 1615770 2127814 2455170 3191721 3682755 5319535 6383442 7365510 9575163 10639070 15958605 19150326 31917210 47875815 95751630 113019659 226039318 339058977 565098295 678117954 1017176931 1130196590 1469255567 1695294885 2034353862 2938511134 3390589770 4407766701 5085884655 7346277835 8815533402 10171769310 13223300103 14692555670 22038833505 26446600206 44077667010 66116500515 132233001030