Search a number
-
+
11503222424232 = 23371131092002151
BaseRepresentation
bin1010011101100100110101…
…1111001000001010101000
31111201200211100102111120120
42213121031133020022220
53001432044420033412
640244301334323240
72265036401206560
oct247311537101250
944650740374516
1011503222424232
113735542196430
121359499ab9520
13655998062316
142baa8a73dda0
1514e35a169b8c
hexa764d7c82a8

11503222424232 has 128 divisors (see below), whose sum is σ = 35865750067200. Its totient is φ = 2986887456000.

The previous prime is 11503222424201. The next prime is 11503222424261. The reversal of 11503222424232 is 23242422230511.

It is a super-2 number, since 2×115032224242322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 11503222424193 and 11503222424202.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4744357 + ... + 6746507.

It is an arithmetic number, because the mean of its divisors is an integer number (280201172400).

Almost surely, 211503222424232 is an apocalyptic number.

11503222424232 is a gapful number since it is divisible by the number (12) 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 11503222424232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17932875033600).

11503222424232 is an abundant number, since it is smaller than the sum of its proper divisors (24362527642968).

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

11503222424232 is a wasteful number, since it uses less digits than its factorization.

11503222424232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2005287 (or 2005283 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 11503222424232 its reverse (23242422230511), we get a palindrome (34745644654743).

The spelling of 11503222424232 in words is "eleven trillion, five hundred three billion, two hundred twenty-two million, four hundred twenty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 3109 6218 9327 12436 18654 21763 24872 34199 37308 43526 65289 68398 74616 87052 102597 130578 136796 174104 205194 239393 261156 273592 410388 478786 522312 718179 820776 957572 1436358 1915144 2002151 2872716 4004302 5745432 6006453 8008604 12012906 14015057 16017208 22023661 24025812 28030114 42045171 44047322 48051624 56060228 66070983 84090342 88094644 112120456 132141966 154165627 168180684 176189288 264283932 308331254 336361368 462496881 528567864 616662508 924993762 1233325016 1849987524 3699975048 6224687459 12449374918 18674062377 24898749836 37348124754 43572812213 49797499672 68471562049 74696249508 87145624426 130718436639 136943124098 149392499016 174291248852 205414686147 261436873278 273886248196 348582497704 410829372294 479300934343 522873746556 547772496392 821658744588 958601868686 1045747493112 1437902803029 1643317489176 1917203737372 2875805606058 3834407474744 5751611212116 11503222424232