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11402024232 = 2332341598539
BaseRepresentation
bin10101001111001110…
…10001010100101000
31002102121220211210210
422213213101110220
5141322404233412
65123224541120
7552360415104
oct124747212450
932377824723
1011402024232
114921166625
1222626217a0
1310c92c7401
147a2440904
1546b00283c
hex2a79d1528

11402024232 has 128 divisors (see below), whose sum is σ = 30989952000. Its totient is φ = 3486236160.

The previous prime is 11402024213. The next prime is 11402024233. The reversal of 11402024232 is 23242020411.

It is a junction number, because it is equal to n+sod(n) for n = 11402024199 and 11402024208.

It is not an unprimeable number, because it can be changed into a prime (11402024233) 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, 1331019 + ... + 1339557.

It is an arithmetic number, because the mean of its divisors is an integer number (242109000).

Almost surely, 211402024232 is an apocalyptic number.

11402024232 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 11402024232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15494976000).

11402024232 is an abundant number, since it is smaller than the sum of its proper divisors (19587927768).

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

11402024232 is a wasteful number, since it uses less digits than its factorization.

11402024232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8671 (or 8667 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 11402024232 its reverse (23242020411), we get a palindrome (34644044643).

The spelling of 11402024232 in words is "eleven billion, four hundred two million, twenty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 23 24 41 46 59 69 82 92 118 123 138 164 177 184 236 246 276 328 354 472 492 552 708 943 984 1357 1416 1886 2419 2714 2829 3772 4071 4838 5428 5658 7257 7544 8142 8539 9676 10856 11316 14514 16284 17078 19352 22632 25617 29028 32568 34156 51234 55637 58056 68312 102468 111274 166911 196397 204936 222548 333822 350099 392794 445096 503801 589191 667644 700198 785588 1007602 1050297 1178382 1335288 1400396 1511403 1571176 2015204 2100594 2356764 2800792 3022806 4030408 4201188 4713528 6045612 8052277 8402376 11587423 12091224 16104554 20655841 23174846 24156831 32209108 34762269 41311682 46349692 48313662 61967523 64418216 69524538 82623364 92699384 96627324 123935046 139049076 165246728 193254648 247870092 278098152 475084343 495740184 950168686 1425253029 1900337372 2850506058 3800674744 5701012116 11402024232