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23134355343132 = 22311175260267751
BaseRepresentation
bin1010100001010011000110…
…00010000100011100011100
310000220121211000000101022120
411100221203002010130130
511013013124431440012
6121111435350542540
74605254614606515
oct520514302043434
9100817730011276
1023134355343132
11740a252530680
122717714967a50
13cba739114077
1459d9ccc31a0c
152a1b9e9a558c
hex150a6308471c

23134355343132 has 24 divisors (see below), whose sum is σ = 58887449964672. Its totient is φ = 7010410710000.

The previous prime is 23134355343131. The next prime is 23134355343149.

23134355343132 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23134355343131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87630133744 + ... + 87630134007.

It is an arithmetic number, because the mean of its divisors is an integer number (2453643748528).

Almost surely, 223134355343132 is an apocalyptic number.

23134355343132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23134355343132 is an abundant number, since it is smaller than the sum of its proper divisors (35753094621540).

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

23134355343132 is a wasteful number, since it uses less digits than its factorization.

23134355343132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175260267769 (or 175260267767 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 42.

It can be divided in two parts, 2313435 and 5343132, that added together give a palindrome (7656567).

The spelling of 23134355343132 in words is "twenty-three trillion, one hundred thirty-four billion, three hundred fifty-five million, three hundred forty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 175260267751 350520535502 525780803253 701041071004 1051561606506 1927862945261 2103123213012 3855725890522 5783588835783 7711451781044 11567177671566 23134355343132