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10132210134 = 23536756807
BaseRepresentation
bin10010110111110110…
…10100000111010110
3222011010112121100000
421123323110013112
5131222321211014
64353224232130
7506041236144
oct113373240726
928133477300
1010132210134
11432a406492
121b6930b646
13c561cac17
146c193a594
153e47c6509
hex25bed41d6

10132210134 has 48 divisors (see below), whose sum is σ = 22828635648. Its totient is φ = 3368141352.

The previous prime is 10132210087. The next prime is 10132210147. The reversal of 10132210134 is 43101223101.

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

It is a congruent number.

It is an unprimeable number.

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, 149959 + ... + 206765.

It is an arithmetic number, because the mean of its divisors is an integer number (475596576).

Almost surely, 210132210134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10132210134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11414317824).

10132210134 is an abundant number, since it is smaller than the sum of its proper divisors (12696425514).

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

10132210134 is an equidigital number, since it uses as much as digits as its factorization.

10132210134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57191 (or 57179 counting only the distinct ones).

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

Adding to 10132210134 its reverse (43101223101), we get a palindrome (53233433235).

The spelling of 10132210134 in words is "ten billion, one hundred thirty-two million, two hundred ten thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 367 486 734 1101 2202 3303 6606 9909 19818 29727 56807 59454 89181 113614 170421 178362 340842 511263 1022526 1533789 3067578 4601367 9202734 13804101 20848169 27608202 41696338 62544507 125089014 187633521 375267042 562900563 1125801126 1688701689 3377403378 5066105067 10132210134