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11524132230 = 23513293073319
BaseRepresentation
bin10101011101110010…
…00100110110000110
31002202010200120111020
422232321010312012
5142100134212410
65143310052010
7555402336102
oct125671046606
932663616436
1011524132230
114984088126
1222974aa006
1311186ab970
147b4748902
15476ac2a70
hex2aee44d86

11524132230 has 128 divisors (see below), whose sum is σ = 30922214400. Its totient is φ = 2729147904.

The previous prime is 11524132199. The next prime is 11524132253. The reversal of 11524132230 is 3223142511.

11524132230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11524132230.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3470511 + ... + 3473829.

It is an arithmetic number, because the mean of its divisors is an integer number (241579800).

Almost surely, 211524132230 is an apocalyptic number.

11524132230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11524132230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15461107200).

11524132230 is an abundant number, since it is smaller than the sum of its proper divisors (19398082170).

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

11524132230 is a wasteful number, since it uses less digits than its factorization.

11524132230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3678.

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 11524132230 its reverse (3223142511), we get a palindrome (14747274741).

The spelling of 11524132230 in words is "eleven billion, five hundred twenty-four million, one hundred thirty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 29 30 39 58 65 78 87 130 145 174 195 290 307 377 390 435 614 754 870 921 1131 1535 1842 1885 2262 3070 3319 3770 3991 4605 5655 6638 7982 8903 9210 9957 11310 11973 16595 17806 19914 19955 23946 26709 33190 39910 43147 44515 49785 53418 59865 86294 89030 96251 99570 115739 119730 129441 133545 192502 215735 231478 258882 267090 288753 347217 431470 481255 577506 578695 647205 694434 962510 1018933 1157390 1251263 1294410 1443765 1736085 2037866 2502526 2887530 3056799 3472170 3753789 5094665 6113598 6256315 7507578 10189330 12512630 13246129 15283995 18768945 26492258 29549057 30567990 37537890 39738387 59098114 66230645 79476774 88647171 132461290 147745285 177294342 198691935 295490570 384137741 397383870 443235855 768275482 886471710 1152413223 1920688705 2304826446 3841377410 5762066115 11524132230