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20133100032 = 29340132687
BaseRepresentation
bin10010110000000001…
…101011101000000000
31220222002222110011120
4102300001223220000
5312213033200112
613125442112240
71311626345433
oct226001535000
956862873146
1020133100032
1185a1679051
123a9a64b680
131b8b13a456
14d8dc5181a
157cc7ace8c
hex4b006ba00

20133100032 has 80 divisors (see below), whose sum is σ = 53771236992. Its totient is φ = 6694092800.

The previous prime is 20133100003. The next prime is 20133100037. The reversal of 20133100032 is 23000133102.

It is a junction number, because it is equal to n+sod(n) for n = 20133099984 and 20133100020.

It is not an unprimeable number, because it can be changed into a prime (20133100037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 599593 + ... + 632279.

Almost surely, 220133100032 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 20133100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26885618496).

20133100032 is an abundant number, since it is smaller than the sum of its proper divisors (33638136960).

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

20133100032 is an equidigital number, since it uses as much as digits as its factorization.

20133100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33109 (or 33093 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 20133100032 its reverse (23000133102), we get a palindrome (43133233134).

The spelling of 20133100032 in words is "twenty billion, one hundred thirty-three million, one hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 401 512 768 802 1203 1536 1604 2406 3208 4812 6416 9624 12832 19248 25664 32687 38496 51328 65374 76992 98061 102656 130748 153984 196122 205312 261496 307968 392244 522992 615936 784488 1045984 1568976 2091968 3137952 4183936 6275904 8367872 12551808 13107487 16735744 25103616 26214974 39322461 50207232 52429948 78644922 104859896 157289844 209719792 314579688 419439584 629159376 838879168 1258318752 1677758336 2516637504 3355516672 5033275008 6711033344 10066550016 20133100032