Search a number
-
+
10022011032 = 23311431018741
BaseRepresentation
bin10010101010101101…
…11100000010011000
3221212110011220120210
421111112330002120
5131011113323112
64334250251120
7503232455025
oct112526740230
927773156523
1010022011032
114283189250
121b38426aa0
13c39426057
146b105254c
153d9ca9b3c
hex2555bc098

10022011032 has 128 divisors (see below), whose sum is σ = 28248549120. Its totient is φ = 2936640000.

The previous prime is 10022011001. The next prime is 10022011039. The reversal of 10022011032 is 23011022001.

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

It is a junction number, because it is equal to n+sod(n) for n = 10022010999 and 10022011017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022011039) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1142182 + ... + 1150922.

It is an arithmetic number, because the mean of its divisors is an integer number (220691790).

Almost surely, 210022011032 is an apocalyptic number.

10022011032 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 10022011032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14124274560).

10022011032 is an abundant number, since it is smaller than the sum of its proper divisors (18226538088).

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

10022011032 is a wasteful number, since it uses less digits than its factorization.

10022011032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8905 (or 8901 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10022011032 its reverse (23011022001), we get a palindrome (33033033033).

The spelling of 10022011032 in words is "ten billion, twenty-two million, eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 43 44 66 86 88 101 129 132 172 202 258 264 303 344 404 473 516 606 808 946 1032 1111 1212 1419 1892 2222 2424 2838 3333 3784 4343 4444 5676 6666 8686 8741 8888 11352 13029 13332 17372 17482 26058 26223 26664 34744 34964 47773 52116 52446 69928 95546 96151 104232 104892 143319 191092 192302 209784 286638 288453 375863 382184 384604 573276 576906 751726 769208 882841 1127589 1146552 1153812 1503452 1765682 2255178 2307624 2648523 3006904 3531364 4134493 4510356 5297046 7062728 8268986 9020712 9711251 10594092 12403479 16537972 19422502 21188184 24806958 29133753 33075944 37962163 38845004 49613916 58267506 75924326 77690008 99227832 113886489 116535012 151848652 227772978 233070024 303697304 417583793 455545956 835167586 911091912 1252751379 1670335172 2505502758 3340670344 5011005516 10022011032