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11412242520 = 23357127710639
BaseRepresentation
bin10101010000011100…
…10000000001011000
31002110100010222122220
422220032100001120
5141333013230040
65124231544040
7552543314040
oct125016200130
932410128586
1011412242520
114926a05798
122265b2b020
1310cb464433
147a3940720
1546bd702d0
hex2a8390058

11412242520 has 128 divisors (see below), whose sum is σ = 39162009600. Its totient is φ = 2606224896.

The previous prime is 11412242509. The next prime is 11412242521. The reversal of 11412242520 is 2524221411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11412242521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1067361 + ... + 1077999.

It is an arithmetic number, because the mean of its divisors is an integer number (305953200).

Almost surely, 211412242520 is an apocalyptic number.

11412242520 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 11412242520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19581004800).

11412242520 is an abundant number, since it is smaller than the sum of its proper divisors (27749767080).

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

11412242520 is a wasteful number, since it uses less digits than its factorization.

11412242520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11937 (or 11933 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 11412242520 its reverse (2524221411), we get a palindrome (13936463931).

The spelling of 11412242520 in words is "eleven billion, four hundred twelve million, two hundred forty-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 1277 2554 3831 5108 6385 7662 8939 10216 10639 12770 15324 17878 19155 21278 25540 26817 30648 31917 35756 38310 42556 44695 51080 53195 53634 63834 71512 74473 76620 85112 89390 106390 107268 127668 134085 148946 153240 159585 178780 212780 214536 223419 255336 268170 297892 319170 357560 372365 425560 446838 536340 595784 638340 744730 893676 1072680 1117095 1276680 1489460 1787352 2234190 2978920 4468380 8936760 13586003 27172006 40758009 54344012 67930015 81516018 95102021 108688024 135860030 163032036 190204042 203790045 271720060 285306063 326064072 380408084 407580090 475510105 543440120 570612126 760816168 815160180 951020210 1141224252 1426530315 1630320360 1902040420 2282448504 2853060630 3804080840 5706121260 11412242520