Search a number
-
+
10211043102 = 23131518111069
BaseRepresentation
bin10011000001010000…
…00010011100011110
3222100121212201211120
421200220002130132
5131403011334402
64405122031410
7511016301651
oct114050023436
928317781746
1010211043102
11436a95a8a7
121b8b7a8566
13c69640050
146cc1bb898
153eb6993bc
hex260a0271e

10211043102 has 64 divisors (see below), whose sum is σ = 22186698240. Its totient is φ = 3114288000.

The previous prime is 10211043079. The next prime is 10211043179. The reversal of 10211043102 is 20134011201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9551424 + ... + 9552492.

It is an arithmetic number, because the mean of its divisors is an integer number (346667160).

Almost surely, 210211043102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10211043102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11093349120).

10211043102 is an abundant number, since it is smaller than the sum of its proper divisors (11975655138).

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

10211043102 is a wasteful number, since it uses less digits than its factorization.

10211043102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10211043102 its reverse (20134011201), we get a palindrome (30345054303).

The spelling of 10211043102 in words is "ten billion, two hundred eleven million, forty-three thousand, one hundred two".

Divisors: 1 2 3 6 13 26 39 78 151 302 453 811 906 1069 1622 1963 2138 2433 3207 3926 4866 5889 6414 10543 11778 13897 21086 27794 31629 41691 63258 83382 122461 161419 244922 322838 367383 484257 734766 866959 968514 1591993 1733918 2098447 2600877 3183986 4196894 4775979 5201754 6295341 9551958 11270467 12590682 22540934 33811401 67622802 130910809 261821618 392732427 785464854 1701840517 3403681034 5105521551 10211043102