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135101412140 = 225107317199153
BaseRepresentation
bin111110111010010101…
…0111111001100101100
3110220201110010211111012
41331310222333030230
54203141430142030
6142021552044352
712521640025022
oct1756452771454
9426643124435
10135101412140
1152329252622
12222252336b8
13c980a4c8b6
146778c08712
1537aab4d095
hex1f74abf32c

135101412140 has 48 divisors (see below), whose sum is σ = 287269288992. Its totient is φ = 53366363136.

The previous prime is 135101412119. The next prime is 135101412209. The reversal of 135101412140 is 41214101531.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 578804 + ... + 777956.

It is an arithmetic number, because the mean of its divisors is an integer number (5984776854).

Almost surely, 2135101412140 is an apocalyptic number.

135101412140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135101412140 is an abundant number, since it is smaller than the sum of its proper divisors (152167876852).

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

135101412140 is a wasteful number, since it uses less digits than its factorization.

135101412140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199586 (or 199584 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

Adding to 135101412140 its reverse (41214101531), we get a palindrome (176315513671).

The spelling of 135101412140 in words is "one hundred thirty-five billion, one hundred one million, four hundred twelve thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 107 214 317 428 535 634 1070 1268 1585 2140 3170 6340 33919 67838 135676 169595 199153 339190 398306 678380 796612 995765 1991530 3983060 21309371 42618742 63131501 85237484 106546855 126263002 213093710 252526004 315657505 426187420 631315010 1262630020 6755070607 13510141214 27020282428 33775353035 67550706070 135101412140