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134102330120 = 2351121729431307
BaseRepresentation
bin111110011100100011…
…1110010101100001000
3110211010211012012121102
41330321013302230020
54144120144030440
6141334502200532
712455115666323
oct1747107625410
9424124165542
10134102330120
11519662a6500
1221ba6723148
13c851a744c5
1466c22597ba
15374d09db15
hex1f391f2b08

134102330120 has 384 divisors, whose sum is σ = 372004617600. Its totient is φ = 43249704960.

The previous prime is 134102330111. The next prime is 134102330129. The reversal of 134102330120 is 21033201431.

It is an interprime number because it is at equal distance from previous prime (134102330111) and next prime (134102330129).

It is a super-2 number, since 2×1341023301202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 134102330092 and 134102330101.

It is not an unprimeable number, because it can be changed into a prime (134102330129) 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 95 ways as a sum of consecutive naturals, for example, 102602507 + ... + 102603813.

It is an arithmetic number, because the mean of its divisors is an integer number (968762025).

Almost surely, 2134102330120 is an apocalyptic number.

134102330120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134102330120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186002308800).

134102330120 is an abundant number, since it is smaller than the sum of its proper divisors (237902287480).

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

134102330120 is a wasteful number, since it uses less digits than its factorization.

134102330120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 134102330120 its reverse (21033201431), we get a palindrome (155135531551).

The spelling of 134102330120 in words is "one hundred thirty-four billion, one hundred two million, three hundred thirty thousand, one hundred twenty".