Search a number
-
+
132103414120224 = 2531376077230419
BaseRepresentation
bin11110000010010110111001…
…000100100111111100100000
3122022201222000001202202110210
4132002112321010213330200
5114303340243003321344
61144543245354254120
736553104515552361
oct3602267104477440
9568658001682423
10132103414120224
113910181a384178
121299663a127340
1358933b5a56b71
142489ba72b3b68
1510414a63a6db9
hex7825b9127f20

132103414120224 has 24 divisors (see below), whose sum is σ = 346771462065840. Its totient is φ = 44034471373376.

The previous prime is 132103414120213. The next prime is 132103414120273. The reversal of 132103414120224 is 422021414301231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 132103414120191 and 132103414120200.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 688038615114 + ... + 688038615305.

It is an arithmetic number, because the mean of its divisors is an integer number (14448810919410).

Almost surely, 2132103414120224 is an apocalyptic number.

It is an amenable number.

132103414120224 is an abundant number, since it is smaller than the sum of its proper divisors (214668047945616).

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

132103414120224 is a wasteful number, since it uses less digits than its factorization.

132103414120224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376077230432 (or 1376077230424 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 132103414120224 its reverse (422021414301231), we get a palindrome (554124828421455).

The spelling of 132103414120224 in words is "one hundred thirty-two trillion, one hundred three billion, four hundred fourteen million, one hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1376077230419 2752154460838 4128231691257 5504308921676 8256463382514 11008617843352 16512926765028 22017235686704 33025853530056 44034471373408 66051707060112 132103414120224