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135101335152 = 24372711483717
BaseRepresentation
bin111110111010010101…
…0101100011001110000
3110220201102222220212210
41331310222230121300
54203141420211102
6142021550252120
712521636254410
oct1756452543160
9426642886783
10135101335152
11523291aa7a3
12222251b7040
13c980a23844
146778bc8640
1537aab3536c
hex1f74aac670

135101335152 has 80 divisors (see below), whose sum is σ = 400342725632. Its totient is φ = 38457918720.

The previous prime is 135101335147. The next prime is 135101335163. The reversal of 135101335152 is 251533101531.

It is a congruent number.

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, 650803 + ... + 832914.

Almost surely, 2135101335152 is an apocalyptic number.

135101335152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135101335152 is an abundant number, since it is smaller than the sum of its proper divisors (265241390480).

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

135101335152 is a wasteful number, since it uses less digits than its factorization.

135101335152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484006 (or 1484000 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 30.

Adding to 135101335152 its reverse (251533101531), we get a palindrome (386634436683).

The spelling of 135101335152 in words is "one hundred thirty-five billion, one hundred one million, three hundred thirty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 271 336 542 813 1084 1626 1897 2168 3252 3794 4336 5691 6504 7588 11382 13008 15176 22764 30352 45528 91056 1483717 2967434 4451151 5934868 8902302 10386019 11869736 17804604 20772038 23739472 31158057 35609208 41544076 62316114 71218416 83088152 124632228 166176304 249264456 402087307 498528912 804174614 1206261921 1608349228 2412523842 2814611149 3216698456 4825047684 5629222298 6433396912 8443833447 9650095368 11258444596 16887666894 19300190736 22516889192 33775333788 45033778384 67550667576 135101335152