Search a number
-
+
10332013020 = 22357239102929
BaseRepresentation
bin10011001111101011…
…00000000111011100
3222200001111122100220
421213311200013130
5132124443404040
64425122521340
7514015442640
oct114765400734
928601448326
1010332013020
11442217433a
122004206250
13c88716594
147002aac20
154070e22d0
hex267d601dc

10332013020 has 96 divisors (see below), whose sum is σ = 33201100800. Its totient is φ = 2351698944.

The previous prime is 10332012989. The next prime is 10332013037. The reversal of 10332013020 is 2031023301.

10332013020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 31 ways as a sum of consecutive naturals, for example, 48916 + ... + 151844.

It is an arithmetic number, because the mean of its divisors is an integer number (345844800).

Almost surely, 210332013020 is an apocalyptic number.

10332013020 is a gapful number since it is divisible by the number (10) 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 10332013020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16600550400).

10332013020 is an abundant number, since it is smaller than the sum of its proper divisors (22869087780).

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

10332013020 is a wasteful number, since it uses less digits than its factorization.

10332013020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103187 (or 103185 counting only the distinct ones).

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

Adding to 10332013020 its reverse (2031023301), we get a palindrome (12363036321).

The spelling of 10332013020 in words is "ten billion, three hundred thirty-two million, thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 239 420 478 717 956 1195 1434 1673 2390 2868 3346 3585 4780 5019 6692 7170 8365 10038 14340 16730 20076 25095 33460 50190 100380 102929 205858 308787 411716 514645 617574 720503 1029290 1235148 1441006 1543935 2058580 2161509 2882012 3087870 3602515 4323018 6175740 7205030 8646036 10807545 14410060 21615090 24600031 43230180 49200062 73800093 98400124 123000155 147600186 172200217 246000310 295200372 344400434 369000465 492000620 516600651 688800868 738000930 861001085 1033201302 1476001860 1722002170 2066402604 2583003255 3444004340 5166006510 10332013020