Search a number
-
+
10232232012 = 2234431275783
BaseRepresentation
bin10011000011110001…
…10111100001001100
3222102002202020120000
421201320313201030
5131423422411022
64411200124300
7511364352132
oct114170674114
928362666500
1010232232012
1143809123a2
121b96906690
13c70b4b672
146d0d35752
153ed4826ac
hex261e3784c

10232232012 has 120 divisors (see below), whose sum is σ = 27591438336. Its totient is φ = 3304621152.

The previous prime is 10232231963. The next prime is 10232232037. The reversal of 10232232012 is 21023223201.

10232232012 is a `hidden beast` number, since 10 + 2 + 322 + 320 + 12 = 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 39 ways as a sum of consecutive naturals, for example, 1766473 + ... + 1772255.

Almost surely, 210232232012 is an apocalyptic number.

10232232012 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 10232232012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13795719168).

10232232012 is an abundant number, since it is smaller than the sum of its proper divisors (17359206324).

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

10232232012 is a wasteful number, since it uses less digits than its factorization.

10232232012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5969 (or 5958 counting only the distinct ones).

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

Adding to 10232232012 its reverse (21023223201), we get a palindrome (31255455213).

It can be divided in two parts, 1023223201 and 2, that multiplied together give a palindrome (2046446402).

The spelling of 10232232012 in words is "ten billion, two hundred thirty-two million, two hundred thirty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 81 86 108 127 129 162 172 254 258 324 381 387 508 516 762 774 1143 1161 1524 1548 2286 2322 3429 3483 4572 4644 5461 5783 6858 6966 10287 10922 11566 13716 13932 16383 17349 20574 21844 23132 32766 34698 41148 49149 52047 65532 69396 98298 104094 147447 156141 196596 208188 248669 294894 312282 442341 468423 497338 589788 624564 734441 746007 884682 936846 994676 1468882 1492014 1769364 1873692 2203323 2238021 2937764 2984028 4406646 4476042 6609969 6714063 8813292 8952084 13219938 13428126 19829907 20142189 26439876 26856252 31580963 39659814 40284378 59489721 63161926 79319628 80568756 94742889 118979442 126323852 189485778 237958884 284228667 378971556 568457334 852686001 1136914668 1705372002 2558058003 3410744004 5116116006 10232232012