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132110214344244 = 223267730411782497
BaseRepresentation
bin11110000010011101001110…
…011001011010111000110100
3122022202121112222120221010200
4132002131032121122320310
5114303443204333003434
61144550332234520500
736553435160526363
oct3602351631327064
9568677488527120
10132110214344244
1139104699989124
1212997a17596130
135893c2a853766
14248a2504a97da
1510417533ad199
hex78274e65ae34

132110214344244 has 72 divisors (see below), whose sum is σ = 334548700399368. Its totient is φ = 43957206958080.

The previous prime is 132110214344231. The next prime is 132110214344263. The reversal of 132110214344244 is 442443412011231.

132110214344244 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 10 + 214 + 3 + 4 + 424 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 55973769959844 + 76136444384400 = 7481562^2 + 8725620^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 132110214344199 and 132110214344208.

It is a congruent number.

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, 73224004 + ... + 75006500.

It is an arithmetic number, because the mean of its divisors is an integer number (4646509727769).

Almost surely, 2132110214344244 is an apocalyptic number.

It is an amenable number.

132110214344244 is an abundant number, since it is smaller than the sum of its proper divisors (202438486055124).

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

132110214344244 is a wasteful number, since it uses less digits than its factorization.

132110214344244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786225 (or 1786220 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 132110214344244 its reverse (442443412011231), we get a palindrome (574553626355475).

The spelling of 132110214344244 in words is "one hundred thirty-two trillion, one hundred ten billion, two hundred fourteen million, three hundred forty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 677 1354 2031 2708 3041 4062 6082 6093 8124 9123 12164 12186 18246 24372 27369 36492 54738 109476 1782497 2058757 3564994 4117514 5347491 6176271 7129988 8235028 10694982 12352542 16042473 18528813 21389964 24705084 32084946 37057626 64169892 74115252 1206750469 2413500938 3620251407 4827001876 5420573377 7240502814 10841146754 10860754221 14481005628 16261720131 21682293508 21721508442 32523440262 43443016884 48785160393 65046880524 97570320786 195140641572 3669728176229 7339456352458 11009184528687 14678912704916 22018369057374 33027553586061 44036738114748 66055107172122 132110214344244