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134131122 = 232172271931
BaseRepresentation
bin1111111111010…
…10110110110010
3100100101120022100
413333222312302
5233314143442
621150521230
73216044556
oct777526662
9310346270
10134131122
1169793774
1238b06216
1321a33c38
1413b57866
15bb9784c
hex7feadb2

134131122 has 48 divisors (see below), whose sum is σ = 309228192. Its totient is φ = 41873280.

The previous prime is 134131121. The next prime is 134131159. The reversal of 134131122 is 221131431.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 134131095 and 134131104.

It is not an unprimeable number, because it can be changed into a prime (134131121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68497 + ... + 70427.

It is an arithmetic number, because the mean of its divisors is an integer number (6442254).

Almost surely, 2134131122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134131122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154614096).

134131122 is an abundant number, since it is smaller than the sum of its proper divisors (175097070).

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

134131122 is a wasteful number, since it uses less digits than its factorization.

134131122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2183 (or 2180 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 134131122 is about 11581.4991257609. The cubic root of 134131122 is about 511.8898510811.

Adding to 134131122 its reverse (221131431), we get a palindrome (355262553).

It can be divided in two parts, 13413 and 1122, that added together give a triangular number (14535 = T170).

The spelling of 134131122 in words is "one hundred thirty-four million, one hundred thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 227 306 454 681 1362 1931 2043 3859 3862 4086 5793 7718 11577 11586 17379 23154 32827 34731 34758 65654 69462 98481 196962 295443 438337 590886 876674 1315011 2630022 3945033 7451729 7890066 14903458 22355187 44710374 67065561 134131122