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21334122143312 = 24111011200164387
BaseRepresentation
bin1001101100111001111001…
…10001011001111001010000
32210112112002122122102211112
410312130330301121321100
510244014240232041222
6113212432125432452
74331224302104546
oct466347461317120
983475078572745
1021334122143312
116885828852570
12248684240b728
13bb9a5078c304
1453a8114bbd96
1526ee39735be2
hex13673cc59e50

21334122143312 has 40 divisors (see below), whose sum is σ = 45539037538272. Its totient is φ = 9601315088000.

The previous prime is 21334122143303. The next prime is 21334122143363.

21334122143312 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 600064418 + ... + 600099969.

Almost surely, 221334122143312 is an apocalyptic number.

21334122143312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21334122143312 is an abundant number, since it is smaller than the sum of its proper divisors (24204915394960).

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

21334122143312 is a wasteful number, since it uses less digits than its factorization.

21334122143312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200164507 (or 1200164501 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

It can be divided in two parts, 2133412 and 2143312, that added together give a palindrome (4276724).

The spelling of 21334122143312 in words is "twenty-one trillion, three hundred thirty-four billion, one hundred twenty-two million, one hundred forty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 101 176 202 404 808 1111 1616 2222 4444 8888 17776 1200164387 2400328774 4800657548 9601315096 13201808257 19202630192 26403616514 52807233028 105614466056 121216603087 211228932112 242433206174 484866412348 969732824696 1333382633957 1939465649392 2666765267914 5333530535828 10667061071656 21334122143312