Search a number
-
+
10201201101300 = 223521122722959467
BaseRepresentation
bin1001010001110010011011…
…1101111100100111110100
31100010020002020121012120010
42110130212331330213310
52314114024440220200
633410211142540220
72102004162444336
oct224344675744764
940106066535503
1010201201101300
11328333a093420
121189089737670
1358cc7a266211
14273a52949456
1512a553a6e150
hex94726f7c9f4

10201201101300 has 288 divisors, whose sum is σ = 32482315998720. Its totient is φ = 2451331238400.

The previous prime is 10201201101269. The next prime is 10201201101317. The reversal of 10201201101300 is 310110210201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 171514167 + ... + 171573633.

It is an arithmetic number, because the mean of its divisors is an integer number (112785819440).

Almost surely, 210201201101300 is an apocalyptic number.

10201201101300 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 10201201101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16241157999360).

10201201101300 is an abundant number, since it is smaller than the sum of its proper divisors (22281114897420).

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

10201201101300 is a wasteful number, since it uses less digits than its factorization.

10201201101300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59951 (or 59944 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10201201101300 its reverse (310110210201), we get a palindrome (10511311311501).

The spelling of 10201201101300 in words is "ten trillion, two hundred one billion, two hundred one million, one hundred one thousand, three hundred".