Search a number
-
+
132124042332120 = 23356983291576669
BaseRepresentation
bin11110000010101010000110…
…100111000000011111011000
3122022210221020200101111102210
4132002222012213000133120
5114304210014314111440
61145000540324355120
736554434636506006
oct3602520647003730
9568727220344383
10132124042332120
113910a545480083
121299a636545aa0
1358953226274c7
14248aba2ba7a76
151041cb2364a80
hex782a869c07d8

132124042332120 has 64 divisors (see below), whose sum is σ = 396372945996000. Its totient is φ = 35233005155328.

The previous prime is 132124042332097. The next prime is 132124042332127. The reversal of 132124042332120 is 21233240421231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132124042332127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83011146 + ... + 84587814.

Almost surely, 2132124042332120 is an apocalyptic number.

132124042332120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132124042332120 is an abundant number, since it is smaller than the sum of its proper divisors (264248903663880).

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

132124042332120 is a wasteful number, since it uses less digits than its factorization.

132124042332120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2275012 (or 2275008 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 132124042332120 its reverse (21233240421231), we get a palindrome (153357282753351).

The spelling of 132124042332120 in words is "one hundred thirty-two trillion, one hundred twenty-four billion, forty-two million, three hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 698329 1396658 1576669 2094987 2793316 3153338 3491645 4189974 4730007 5586632 6306676 6983290 7883345 8379948 9460014 10474935 12613352 13966580 15766690 16759896 18920028 20949870 23650035 27933160 31533380 37840056 41899740 47300070 63066760 83799480 94600140 189200280 1101033686101 2202067372202 3303101058303 4404134744404 5505168430505 6606202116606 8808269488808 11010336861010 13212404233212 16515505291515 22020673722020 26424808466424 33031010583030 44041347444040 66062021166060 132124042332120