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21033132032 = 213111012311
BaseRepresentation
bin10011100101101011…
…000010000000000000
32000021211112210222002
4103211223002000000
5321033440211112
613355033003132
71343135446433
oct234553020000
960254483862
1021033132032
118a13722450
1240abb534a8
131ca2745573
1410375b981a
158317e41c2
hex4e5ac2000

21033132032 has 112 divisors (see below), whose sum is σ = 46362055104. Its totient is φ = 9461760000.

The previous prime is 21033132019. The next prime is 21033132067. The reversal of 21033132032 is 23023133012.

It is a junction number, because it is equal to n+sod(n) for n = 21033131995 and 21033132013.

It is an unprimeable number.

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, 9100157 + ... + 9102467.

Almost surely, 221033132032 is an apocalyptic number.

21033132032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21033132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23181027552).

21033132032 is an abundant number, since it is smaller than the sum of its proper divisors (25328923072).

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

21033132032 is a wasteful number, since it uses less digits than its factorization.

21033132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449 (or 2425 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 21033132032 its reverse (23023133012), we get a palindrome (44056265044).

The spelling of 21033132032 in words is "twenty-one billion, thirty-three million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 101 128 176 202 256 352 404 512 704 808 1024 1111 1408 1616 2048 2222 2311 2816 3232 4096 4444 4622 5632 6464 8192 8888 9244 11264 12928 17776 18488 22528 25421 25856 35552 36976 45056 50842 51712 71104 73952 90112 101684 103424 142208 147904 203368 206848 233411 284416 295808 406736 413696 466822 568832 591616 813472 827392 933644 1137664 1183232 1626944 1867288 2275328 2366464 2567521 3253888 3734576 4550656 4732928 5135042 6507776 7469152 9101312 9465856 10270084 13015552 14938304 18931712 20540168 26031104 29876608 41080336 52062208 59753216 82160672 104124416 119506432 164321344 208248832 239012864 328642688 478025728 657285376 956051456 1314570752 1912102912 2629141504 5258283008 10516566016 21033132032