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135111466215 = 32511416657377
BaseRepresentation
bin111110111010101000…
…1010101110011100111
3110220202011001122002100
41331311101111303213
54203202013404330
6142022551343143
712522121341135
oct1756521256347
9426664048070
10135111466215
115233399a380
1222228681ab3
13c982b5cc5b
14677a2a4755
1537ab987060
hex1f75455ce7

135111466215 has 48 divisors (see below), whose sum is σ = 261714843936. Its totient is φ = 63910809600.

The previous prime is 135111466211. The next prime is 135111466223. The reversal of 135111466215 is 512664111531.

135111466215 is a `hidden beast` number, since 1 + 3 + 5 + 11 + 14 + 6 + 621 + 5 = 666.

It is not a de Polignac number, because 135111466215 - 22 = 135111466211 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 135111466215.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135111466211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3308394 + ... + 3348983.

It is an arithmetic number, because the mean of its divisors is an integer number (5452392582).

Almost surely, 2135111466215 is an apocalyptic number.

135111466215 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135111466215 is a deficient number, since it is larger than the sum of its proper divisors (126603377721).

135111466215 is a wasteful number, since it uses less digits than its factorization.

135111466215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6657440 (or 6657437 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

Adding to 135111466215 its reverse (512664111531), we get a palindrome (647775577746).

The spelling of 135111466215 in words is "one hundred thirty-five billion, one hundred eleven million, four hundred sixty-six thousand, two hundred fifteen".

Divisors: 1 3 5 9 11 15 33 41 45 55 99 123 165 205 369 451 495 615 1353 1845 2255 4059 6765 20295 6657377 19972131 33286885 59916393 73231147 99860655 219693441 272952457 299581965 366155735 659080323 818857371 1098467205 1364762285 2456572113 3002477027 3295401615 4094286855 9007431081 12282860565 15012385135 27022293243 45037155405 135111466215