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11325234420 = 223251725714401
BaseRepresentation
bin10101000110000100…
…10101110011110100
31002020021102111222200
422203002111303310
5141143230000140
65111443024500
7550435622103
oct124302256364
932207374880
1011325234420
114891888275
12224096b130
1310b641c256
1479617203a
154643d5030
hex2a3095cf4

11325234420 has 144 divisors (see below), whose sum is σ = 36518056848. Its totient is φ = 2831155200.

The previous prime is 11325234391. The next prime is 11325234451. The reversal of 11325234420 is 2443252311.

11325234420 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 5 + 234 + 420 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5730792804 + 5594441616 = 75702^2 + 74796^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 779220 + ... + 793620.

It is an arithmetic number, because the mean of its divisors is an integer number (253597617).

Almost surely, 211325234420 is an apocalyptic number.

11325234420 is a gapful number since it is divisible by the number (10) 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 11325234420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18259028424).

11325234420 is an abundant number, since it is smaller than the sum of its proper divisors (25192822428).

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

11325234420 is a wasteful number, since it uses less digits than its factorization.

11325234420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14690 (or 14685 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 11325234420 its reverse (2443252311), we get a palindrome (13768486731).

The spelling of 11325234420 in words is "eleven billion, three hundred twenty-five million, two hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 257 306 340 510 514 612 765 771 1020 1028 1285 1530 1542 2313 2570 3060 3084 3855 4369 4626 5140 7710 8738 9252 11565 13107 14401 15420 17476 21845 23130 26214 28802 39321 43203 43690 46260 52428 57604 65535 72005 78642 86406 87380 129609 131070 144010 157284 172812 196605 216015 244817 259218 262140 288020 393210 432030 489634 518436 648045 734451 786420 864060 979268 1224085 1296090 1468902 2203353 2448170 2592180 2937804 3672255 3701057 4406706 4896340 7344510 7402114 8813412 11016765 11103171 14689020 14804228 18505285 22033530 22206342 33309513 37010570 44067060 44412684 55515855 62917969 66619026 74021140 111031710 125835938 133238052 166547565 188753907 222063420 251671876 314589845 333095130 377507814 566261721 629179690 666190260 755015628 943769535 1132523442 1258359380 1887539070 2265046884 2831308605 3775078140 5662617210 11325234420