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10001323296 = 253236179601
BaseRepresentation
bin10010101000010000…
…00001010100100000
3221211000020212100100
421110020001110200
5130440314321141
64332231022400
7502561562646
oct112410012440
927730225310
1010001323296
114272539248
121b3150aa00
13c350618a3
146ac3c9196
153d80700b6
hex254201520

10001323296 has 72 divisors (see below), whose sum is σ = 28452089484. Its totient is φ = 3332505600.

The previous prime is 10001323253. The next prime is 10001323307. The reversal of 10001323296 is 69232310001.

It can be written as a sum of positive squares in 2 ways, for example, as 9557799696 + 443523600 = 97764^2 + 21060^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×100013232962 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1036896 + ... + 1046496.

Almost surely, 210001323296 is an apocalyptic number.

10001323296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10001323296 is an abundant number, since it is smaller than the sum of its proper divisors (18450766188).

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

10001323296 is a wasteful number, since it uses less digits than its factorization.

10001323296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13234 (or 13223 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 10001323296 its reverse (69232310001), we get a palindrome (79233633297).

The spelling of 10001323296 in words is "ten billion, one million, three hundred twenty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3617 7234 9601 10851 14468 19202 21702 28803 28936 32553 38404 43404 57606 57872 65106 76808 86409 86808 115212 115744 130212 153616 172818 173616 230424 260424 307232 345636 347232 460848 520848 691272 921696 1041696 1382544 2765088 34726817 69453634 104180451 138907268 208360902 277814536 312541353 416721804 555629072 625082706 833443608 1111258144 1250165412 1666887216 2500330824 3333774432 5000661648 10001323296