Search a number
-
+
132330030120 = 233251590123117
BaseRepresentation
bin111101100111101111…
…1000000010000101000
3110122120022022001001200
41323033133000100220
54132002441430440
6140442551444200
712363155461041
oct1731737002050
9418508261050
10132330030120
1151136941262
1221791086660
13c62b832592
146594b138c8
1536976b7c30
hex1ecf7c0428

132330030120 has 96 divisors (see below), whose sum is σ = 430118250120. Its totient is φ = 35284262400.

The previous prime is 132330030073. The next prime is 132330030143. The reversal of 132330030120 is 21030033231.

132330030120 is a `hidden beast` number, since 1 + 32 + 330 + 0 + 301 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 103091082084 + 29238948036 = 321078^2 + 170994^2 .

It is a super-2 number, since 2×1323300301202 (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 = 132330030093 and 132330030102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5712802 + ... + 5735918.

Almost surely, 2132330030120 is an apocalyptic number.

132330030120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132330030120 is an abundant number, since it is smaller than the sum of its proper divisors (297788220000).

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

132330030120 is a wasteful number, since it uses less digits than its factorization.

132330030120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39035 (or 39028 counting only the distinct ones).

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

Adding to 132330030120 its reverse (21030033231), we get a palindrome (153360063351).

The spelling of 132330030120 in words is "one hundred thirty-two billion, three hundred thirty million, thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 15901 23117 31802 46234 47703 63604 69351 79505 92468 95406 115585 127208 138702 143109 159010 184936 190812 208053 231170 238515 277404 286218 318020 346755 381624 416106 462340 477030 554808 572436 636040 693510 715545 832212 924680 954060 1040265 1144872 1387020 1431090 1664424 1908120 2080530 2774040 2862180 4161060 5724360 8322120 367583417 735166834 1102750251 1470333668 1837917085 2205500502 2940667336 3308250753 3675834170 4411001004 5513751255 6616501506 7351668340 8822002008 11027502510 13233003012 14703336680 16541253765 22055005020 26466006024 33082507530 44110010040 66165015060 132330030120