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111424130304 = 2833114533221
BaseRepresentation
bin110011111000101100…
…1010100110100000000
3101122121100011021212220
41213301121110310000
53311144034132204
6123104301451040
711023123323564
oct1476131246400
9348540137786
10111424130304
1143289020303
1219717870a80
13a679576a66
1455703b76a4
152d721571d9
hex19f1654d00

111424130304 has 144 divisors (see below), whose sum is σ = 306422613504. Its totient is φ = 35907379200.

The previous prime is 111424130303. The next prime is 111424130333. The reversal of 111424130304 is 403031424111.

It is a super-2 number, since 2×1114241303042 (a number of 23 digits) contains 22 as substring.

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 (111424130303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34591414 + ... + 34594634.

It is an arithmetic number, because the mean of its divisors is an integer number (2127934816).

Almost surely, 2111424130304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111424130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153211306752).

111424130304 is an abundant number, since it is smaller than the sum of its proper divisors (194998483200).

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

111424130304 is a wasteful number, since it uses less digits than its factorization.

111424130304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4724 (or 4710 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 111424130304 its reverse (403031424111), we get a palindrome (514455554415).

The spelling of 111424130304 in words is "one hundred eleven billion, four hundred twenty-four million, one hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 744 768 992 1453 1488 1984 2906 2976 3221 3968 4359 5812 5952 6442 7936 8718 9663 11624 11904 12884 17436 19326 23248 23808 25768 34872 38652 45043 46496 51536 69744 77304 90086 92992 99851 103072 135129 139488 154608 180172 185984 199702 206144 270258 278976 299553 309216 360344 371968 399404 412288 540516 557952 599106 618432 720688 798808 824576 1081032 1115904 1198212 1236864 1441376 1597616 2162064 2396424 2473728 2882752 3195232 4324128 4680113 4792848 5765504 6390464 8648256 9360226 9585696 11531008 12780928 14040339 17296512 18720452 19171392 25561856 28080678 34593024 37440904 38342784 56161356 74881808 76685568 112322712 145083503 149763616 224645424 290167006 299527232 435250509 449290848 580334012 599054464 870501018 898581696 1160668024 1198108928 1741002036 1797163392 2321336048 3482004072 3594326784 4642672096 6964008144 9285344192 13928016288 18570688384 27856032576 37141376768 55712065152 111424130304