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133110444224 = 26109100918911
BaseRepresentation
bin111101111111000000…
…0000011000011000000
3110201120200210011221202
41323332000003003000
54140102233203344
6141052230440332
712421413051602
oct1737600030300
9421520704852
10133110444224
11514a741499a
122196a5030a8
13c724418684
14662a621172
1536e0e7194e
hex1efe0030c0

133110444224 has 56 divisors (see below), whose sum is σ = 266842646400. Its totient is φ = 65875783680.

The previous prime is 133110444179. The next prime is 133110444377. The reversal of 133110444224 is 422444011331.

133110444224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1331104442242 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7029329 + ... + 7048239.

Almost surely, 2133110444224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133110444224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133421323200).

133110444224 is an abundant number, since it is smaller than the sum of its proper divisors (133732202176).

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

133110444224 is a wasteful number, since it uses less digits than its factorization.

133110444224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20041 (or 20031 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 133110444224 its reverse (422444011331), we get a palindrome (555554455555).

The spelling of 133110444224 in words is "one hundred thirty-three billion, one hundred ten million, four hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 109 218 436 872 1009 1744 2018 3488 4036 6976 8072 16144 18911 32288 37822 64576 75644 109981 151288 219962 302576 439924 605152 879848 1210304 1759696 2061299 3519392 4122598 7038784 8245196 16490392 19081199 32980784 38162398 65961568 76324796 131923136 152649592 305299184 610598368 1221196736 2079850691 4159701382 8319402764 16638805528 33277611056 66555222112 133110444224