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132114230200036 = 227192124910464583
BaseRepresentation
bin11110000010100000111101…
…110000101100011011100100
3122022202222220212010112122101
4132002200331300230123210
5114304024420412400121
61144552234532341444
736553636532661640
oct3602407560543344
9568688825115571
10132114230200036
113910636a812007
1212998758474884
13589441a8371a6
14248a511989c20
1510418dac16491
hex78283dc2c6e4

132114230200036 has 72 divisors (see below), whose sum is σ = 279090455280000. Its totient is φ = 53597412370944.

The previous prime is 132114230200031. The next prime is 132114230200103. The reversal of 132114230200036 is 630002032411231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 132114230199977 and 132114230200013.

It is not an unprimeable number, because it can be changed into a prime (132114230200031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7392601 + ... + 17857183.

Almost surely, 2132114230200036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132114230200036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139545227640000).

132114230200036 is an abundant number, since it is smaller than the sum of its proper divisors (146976225079964).

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

132114230200036 is a wasteful number, since it uses less digits than its factorization.

132114230200036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10465881 (or 10465860 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 132114230200036 its reverse (630002032411231), we get a palindrome (762116262611267).

The spelling of 132114230200036 in words is "one hundred thirty-two trillion, one hundred fourteen billion, two hundred thirty million, two hundred thousand, thirty-six".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 361 532 722 1249 1444 2498 2527 4996 5054 8743 10108 17486 23731 34972 47462 94924 166117 332234 450889 664468 901778 1803556 3156223 6312446 10464583 12624892 20929166 41858332 73252081 146504162 198827077 293008324 397654154 795308308 1391789539 2783579078 3777714463 5567158156 7555428926 13070264167 15110857852 26140528334 26444001241 52281056668 52888002482 91491849169 105776004964 182983698338 248335019173 365967396676 496670038346 993340076692 1738345134211 3476690268422 4718365364287 6953380536844 9436730728574 18873461457148 33028557550009 66057115100018 132114230200036