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11345415420 = 22351098212113
BaseRepresentation
bin10101001000011110…
…10100110011111100
31002021200101211010010
422210033110303330
5141213411243140
65113443343220
7551102303613
oct124417246374
932250354103
1011345415420
1148a2211589
122247681b10
1310ba666b81
14798b0687a
1546606e880
hex2a43d4cfc

11345415420 has 96 divisors (see below), whose sum is σ = 32112843840. Its totient is φ = 2992619520.

The previous prime is 11345415401. The next prime is 11345415427. The reversal of 11345415420 is 2451454311.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11345415427) 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, 5368284 + ... + 5370396.

It is an arithmetic number, because the mean of its divisors is an integer number (334508790).

Almost surely, 211345415420 is an apocalyptic number.

11345415420 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 11345415420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16056421920).

11345415420 is an abundant number, since it is smaller than the sum of its proper divisors (20767428420).

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

11345415420 is a wasteful number, since it uses less digits than its factorization.

11345415420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3055 (or 3053 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 11345415420 its reverse (2451454311), we get a palindrome (13796869731).

The spelling of 11345415420 in words is "eleven billion, three hundred forty-five million, four hundred fifteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 109 218 327 436 545 654 821 1090 1308 1635 1642 2113 2180 2463 3270 3284 4105 4226 4926 6339 6540 8210 8452 9852 10565 12315 12678 16420 21130 24630 25356 31695 42260 49260 63390 89489 126780 178978 230317 268467 357956 447445 460634 536934 690951 894890 921268 1073868 1151585 1342335 1381902 1734773 1789780 2303170 2684670 2763804 3454755 3469546 4606340 5204319 5369340 6909510 6939092 8673865 10408638 13819020 17347730 20817276 26021595 34695460 52043190 104086380 189090257 378180514 567270771 756361028 945451285 1134541542 1890902570 2269083084 2836353855 3781805140 5672707710 11345415420