Search a number
-
+
10211233332 = 2232234678171
BaseRepresentation
bin10011000001010001…
…10000111000110100
3222100122020101210010
421200220300320310
5131403033431312
64405130100220
7511021023366
oct114050607064
928318211703
1010211233332
11436aa7a813
121b8b87a670
13c696a8801
146cc22ad36
153eb6d593c
hex260a30e34

10211233332 has 48 divisors (see below), whose sum is σ = 23987238912. Its totient is φ = 3380811360.

The previous prime is 10211233303. The next prime is 10211233367. The reversal of 10211233332 is 23333211201.

It is a junction number, because it is equal to n+sod(n) for n = 10211233299 and 10211233308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1245607 + ... + 1253777.

It is an arithmetic number, because the mean of its divisors is an integer number (499734144).

Almost surely, 210211233332 is an apocalyptic number.

10211233332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10211233332 is an abundant number, since it is smaller than the sum of its proper divisors (13776005580).

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

10211233332 is a wasteful number, since it uses less digits than its factorization.

10211233332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8868 (or 8866 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 10211233332 its reverse (23333211201), we get a palindrome (33544444533).

The spelling of 10211233332 in words is "ten billion, two hundred eleven million, two hundred thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 223 446 467 669 892 934 1338 1401 1868 2676 2802 5604 8171 16342 24513 32684 49026 98052 104141 208282 312423 416564 624846 1249692 1822133 3644266 3815857 5466399 7288532 7631714 10932798 11447571 15263428 21865596 22895142 45790284 850936111 1701872222 2552808333 3403744444 5105616666 10211233332