Search a number
-
+
10332132012 = 22334719110657
BaseRepresentation
bin10011001111101011…
…11101001010101100
3222200001201200121000
421213311331022230
5132130011211022
64425125240300
7514016446566
oct114765751254
928601650530
1010332132012
114422245784
122004263090
13c887587a7
147002dc336
154071176ac
hex267d7d2ac

10332132012 has 96 divisors (see below), whose sum is σ = 27502755840. Its totient is φ = 3352803840.

The previous prime is 10332131987. The next prime is 10332132023. The reversal of 10332132012 is 21023123301.

10332132012 is a `hidden beast` number, since 1 + 0 + 332 + 1 + 320 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 964188 + ... + 974844.

It is an arithmetic number, because the mean of its divisors is an integer number (286487040).

Almost surely, 210332132012 is an apocalyptic number.

10332132012 is a gapful number since it is divisible by the number (12) 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 10332132012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13751377920).

10332132012 is an abundant number, since it is smaller than the sum of its proper divisors (17170623828).

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

10332132012 is a wasteful number, since it uses less digits than its factorization.

10332132012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10908 (or 10900 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10332132012 its reverse (21023123301), we get a palindrome (31355255313).

The spelling of 10332132012 in words is "ten billion, three hundred thirty-two million, one hundred thirty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 94 108 141 188 191 282 382 423 564 573 764 846 1146 1269 1692 1719 2292 2538 3438 5076 5157 6876 8977 10314 10657 17954 20628 21314 26931 31971 35908 42628 53862 63942 80793 95913 107724 127884 161586 191826 242379 287739 323172 383652 484758 500879 575478 969516 1001758 1150956 1502637 2003516 2035487 3005274 4070974 4507911 6010548 6106461 8141948 9015822 12212922 13523733 18031644 18319383 24425844 27047466 36638766 54094932 54958149 73277532 95667889 109916298 191335778 219832596 287003667 382671556 574007334 861011001 1148014668 1722022002 2583033003 3444044004 5166066006 10332132012