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135114421322322 = 23213782973752977
BaseRepresentation
bin11110101110001011000111…
…000101100100001001010010
3122201101210221100000211120200
4132232023013011210021102
5120202203313324303242
61155210412552320030
740313460213516621
oct3656130705441122
9581353840024520
10135114421322322
113a062782457792
12131a20b63a3016
135a51309b335b0
142551803dd36b8
15109498210e04c
hex7ae2c7164252

135114421322322 has 48 divisors (see below), whose sum is σ = 315307256486040. Its totient is φ = 41568357321216.

The previous prime is 135114421322311. The next prime is 135114421322327. The reversal of 135114421322322 is 223223124411531.

135114421322322 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 1 + 4 + 4 + 2 + 1 + 322 + 322 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 106539741032481 + 28574680289841 = 10321809^2 + 5345529^2 .

It is not an unprimeable number, because it can be changed into a prime (135114421322327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35044503 + ... + 38708474.

Almost surely, 2135114421322322 is an apocalyptic number.

135114421322322 is an abundant number, since it is smaller than the sum of its proper divisors (180192835163718).

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

135114421322322 is a wasteful number, since it uses less digits than its factorization.

135114421322322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73760827 (or 73760824 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

Adding to 135114421322322 its reverse (223223124411531), we get a palindrome (358337545733853).

The spelling of 135114421322322 in words is "one hundred thirty-five trillion, one hundred fourteen billion, four hundred twenty-one million, three hundred twenty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 7829 15658 23487 46974 70461 101777 140922 203554 305331 610662 915993 1831986 73752977 147505954 221258931 442517862 663776793 958788701 1327553586 1917577402 2876366103 5752732206 8629098309 17258196618 577412056933 1154824113866 1732236170799 3464472341598 5196708512397 7506356740129 10393417024794 15012713480258 22519070220387 45038140440774 67557210661161 135114421322322