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32020133012 = 2271724319181
BaseRepresentation
bin11101110100100011…
…000111010010010100
310001122112112021220022
4131310203013102110
51011034123224022
622413154324312
72212326432320
oct356443072224
9101575467808
1032020133012
111264159194a
126257589698
133033a6b28a
14179a864980
15c76166c42
hex7748c7494

32020133012 has 72 divisors (see below), whose sum is σ = 68194199808. Its totient is φ = 12884313600.

The previous prime is 32020133003. The next prime is 32020133023. The reversal of 32020133012 is 21033102023.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3483062 + ... + 3492242.

It is an arithmetic number, because the mean of its divisors is an integer number (947141664).

Almost surely, 232020133012 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 32020133012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34097099904).

32020133012 is an abundant number, since it is smaller than the sum of its proper divisors (36174066796).

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

32020133012 is a wasteful number, since it uses less digits than its factorization.

32020133012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9657 (or 9638 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 32020133012 its reverse (21033102023), we get a palindrome (53053235035).

The spelling of 32020133012 in words is "thirty-two billion, twenty million, one hundred thirty-three thousand, twelve".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 289 431 476 578 862 1156 1724 2023 3017 4046 6034 7327 8092 9181 12068 14654 18362 29308 36724 51289 64267 102578 124559 128534 156077 205156 249118 257068 312154 498236 624308 871913 1092539 1743826 2185078 2653309 3487652 3957011 4370156 5306618 7914022 10613236 15828044 18573163 27699077 37146326 55398154 67269187 74292652 110796308 134538374 269076748 470884309 941768618 1143576179 1883537236 2287152358 4574304716 8005033253 16010066506 32020133012