Search a number
-
+
10211213232 = 24321123747337
BaseRepresentation
bin10011000001010001…
…01011111110110000
3222100122012101012200
421200220223332300
5131403032310412
64405125423200
7511020610653
oct114050537660
928318171180
1010211213232
11436aa66700
121b8b86ab00
13c6969c60c
146cc22389a
153eb6ce9dc
hex260a2bfb0

10211213232 has 360 divisors, whose sum is σ = 33044426688. Its totient is φ = 2937876480.

The previous prime is 10211213153. The next prime is 10211213261. The reversal of 10211213232 is 23231211201.

10211213232 is a `hidden beast` number, since 10 + 211 + 213 + 232 = 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 71 ways as a sum of consecutive naturals, for example, 30300168 + ... + 30300504.

Almost surely, 210211213232 is an apocalyptic number.

10211213232 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 10211213232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16522213344).

10211213232 is an abundant number, since it is smaller than the sum of its proper divisors (22833213456).

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

10211213232 is a wasteful number, since it uses less digits than its factorization.

10211213232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10211213232 its reverse (23231211201), we get a palindrome (33442424433).

The spelling of 10211213232 in words is "ten billion, two hundred eleven million, two hundred thirteen thousand, two hundred thirty-two".