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115100143224 = 233112916392233
BaseRepresentation
bin110101100110010000…
…0001100111001111000
3102000002112020002121120
41223030200030321320
53341211114040344
6124513135305240
711213201034453
oct1531440147170
9360075202546
10115100143224
11448a5037210
121a38297b220
13ab1401c531
1457dc6b249a
152ed9c31219
hex1acc80ce78

115100143224 has 128 divisors (see below), whose sum is σ = 326729721600. Its totient is φ = 33469148160.

The previous prime is 115100143217. The next prime is 115100143229. The reversal of 115100143224 is 422341001511.

It is a super-2 number, since 2×1151001432242 (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 junction number, because it is equal to n+sod(n) for n = 115100143194 and 115100143203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115100143229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1201812 + ... + 1294044.

It is an arithmetic number, because the mean of its divisors is an integer number (2552575950).

Almost surely, 2115100143224 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 115100143224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163364860800).

115100143224 is an abundant number, since it is smaller than the sum of its proper divisors (211629578376).

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

115100143224 is a wasteful number, since it uses less digits than its factorization.

115100143224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92445 (or 92441 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 115100143224 its reverse (422341001511), we get a palindrome (537441144735).

The spelling of 115100143224 in words is "one hundred fifteen billion, one hundred million, one hundred forty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 116 132 163 174 232 264 319 326 348 489 638 652 696 957 978 1276 1304 1793 1914 1956 2552 3586 3828 3912 4727 5379 7172 7656 9454 10758 14181 14344 18908 21516 28362 37816 43032 51997 56724 92233 103994 113448 155991 184466 207988 276699 311982 368932 415976 553398 623964 737864 1014563 1106796 1247928 2029126 2213592 2674757 3043689 4058252 5349514 6087378 8024271 8116504 10699028 12174756 15033979 16048542 21398056 24349512 29422327 30067958 32097084 45101937 58844654 60135916 64194168 88266981 90203874 117689308 120271832 165373769 176533962 180407748 235378616 330747538 353067924 360815496 435985391 496121307 661495076 706135848 871970782 992242614 1307956173 1322990152 1743941564 1984485228 2615912346 3487883128 3968970456 4795839301 5231824692 9591678602 10463649384 14387517903 19183357204 28775035806 38366714408 57550071612 115100143224