Search a number
-
+
10201332330 = 2325722771333
BaseRepresentation
bin10011000000000101…
…11111101001101010
3222022221121101011100
421200002333221222
5131343020113310
64404133542230
7510540615450
oct114002775152
928287541140
1010201332330
114365427a72
121b884a4976
13c67620027
146cabb09d0
153ea8cbec0
hex2600bfa6a

10201332330 has 96 divisors (see below), whose sum is σ = 30446492544. Its totient is φ = 2321428608.

The previous prime is 10201332293. The next prime is 10201332353. The reversal of 10201332330 is 3323310201.

10201332330 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 1 + 332 + 330 = 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 47 ways as a sum of consecutive naturals, for example, 107344 + ... + 178676.

It is an arithmetic number, because the mean of its divisors is an integer number (317150964).

Almost surely, 210201332330 is an apocalyptic number.

10201332330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10201332330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15223246272).

10201332330 is an abundant number, since it is smaller than the sum of its proper divisors (20245160214).

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

10201332330 is a wasteful number, since it uses less digits than its factorization.

10201332330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71580 (or 71577 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10201332330 its reverse (3323310201), we get a palindrome (13524642531).

The spelling of 10201332330 in words is "ten billion, two hundred one million, three hundred thirty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 227 315 454 630 681 1135 1362 1589 2043 2270 3178 3405 4086 4767 6810 7945 9534 10215 14301 15890 20430 23835 28602 47670 71333 71505 142666 143010 213999 356665 427998 499331 641997 713330 998662 1069995 1283994 1497993 2139990 2496655 2995986 3209985 4493979 4993310 6419970 7489965 8987958 14979930 16192591 22469895 32385182 44939790 48577773 80962955 97155546 113348137 145733319 161925910 226696274 242888865 291466638 340044411 485777730 566740685 680088822 728666595 1020133233 1133481370 1457333190 1700222055 2040266466 3400444110 5100666165 10201332330