Search a number
-
+
132434333100132 = 223712231289124451
BaseRepresentation
bin11110000111001011000101…
…011000010110100001100100
3122100220121011101012201000220
4132013023011120112201210
5114324301003233201012
61145355254232404340
736616031142512430
oct3607130530264144
9570817141181026
10132434333100132
113921a0a352a728
1212a2a7b22466b0
1358b867245b24b
14249bbda91b9c0
151049dc31ba08c
hex7872c5616864

132434333100132 has 48 divisors (see below), whose sum is σ = 353446985751552. Its totient is φ = 37807441869600.

The previous prime is 132434333100059. The next prime is 132434333100149. The reversal of 132434333100132 is 231001333434231.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 132434333100093 and 132434333100102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 644459494 + ... + 644664957.

It is an arithmetic number, because the mean of its divisors is an integer number (7363478869824).

Almost surely, 2132434333100132 is an apocalyptic number.

132434333100132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132434333100132 is an abundant number, since it is smaller than the sum of its proper divisors (221012652651420).

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

132434333100132 is a wasteful number, since it uses less digits than its factorization.

132434333100132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289125688 (or 1289125686 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 33.

Adding to 132434333100132 its reverse (231001333434231), we get a palindrome (363435666534363).

The spelling of 132434333100132 in words is "one hundred thirty-two trillion, four hundred thirty-four billion, three hundred thirty-three million, one hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 1223 2446 3669 4892 7338 8561 14676 17122 25683 34244 51366 102732 1289124451 2578248902 3867373353 5156497804 7734746706 9023871157 15469493412 18047742314 27071613471 36095484628 54143226942 108286453884 1576599203573 3153198407146 4729797610719 6306396814292 9459595221438 11036194425011 18919190442876 22072388850022 33108583275033 44144777700044 66217166550066 132434333100132