Search a number
-
+
10232022132 = 2232449633013
BaseRepresentation
bin10011000011110000…
…00100010001110100
3222102002100120122200
421201320010101310
5131423344202012
64411151424500
7511362516213
oct114170042164
928362316580
1010232022132
114380789742
121b96825130
13c70aa6c87
146d0cbd07a
153ed4403dc
hex261e04474

10232022132 has 36 divisors (see below), whose sum is σ = 25921923300. Its totient is φ = 3403072512.

The previous prime is 10232022091. The next prime is 10232022173. The reversal of 10232022132 is 23122023201.

It is an interprime number because it is at equal distance from previous prime (10232022091) and next prime (10232022173).

It can be written as a sum of positive squares in 2 ways, for example, as 3104272656 + 7127749476 = 55716^2 + 84426^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

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 11 ways as a sum of consecutive naturals, for example, 300343 + ... + 332670.

It is an arithmetic number, because the mean of its divisors is an integer number (720053425).

Almost surely, 210232022132 is an apocalyptic number.

10232022132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10232022132 is an abundant number, since it is smaller than the sum of its proper divisors (15689901168).

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

10232022132 is a wasteful number, since it uses less digits than its factorization.

10232022132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633472 (or 633467 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10232022132 its reverse (23122023201), we get a palindrome (33354045333).

The spelling of 10232022132 in words is "ten billion, two hundred thirty-two million, twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 449 898 1347 1796 2694 4041 5388 8082 16164 633013 1266026 1899039 2532052 3798078 5697117 7596156 11394234 22788468 284222837 568445674 852668511 1136891348 1705337022 2558005533 3410674044 5116011066 10232022132