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11522424231340 = 22511223533905933
BaseRepresentation
bin1010011110101100011000…
…0000001101010110101100
31111210112101120000101000121
42213223012000031112230
53002240411100400330
640301154551534324
72266316261654521
oct247530600152654
944715346011017
1011522424231340
1137426a60a9300
12136115868a3a4
1365773826a769
142bb98ca0b148
1514ead0cb917a
hexa7ac600d5ac

11522424231340 has 144 divisors (see below), whose sum is σ = 28276837331904. Its totient is φ = 3932179863040.

The previous prime is 11522424231337. The next prime is 11522424231433. The reversal of 11522424231340 is 4313242422511.

It is a junction number, because it is equal to n+sod(n) for n = 11522424231296 and 11522424231305.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 997014 + ... + 4902946.

It is an arithmetic number, because the mean of its divisors is an integer number (196366925916).

Almost surely, 211522424231340 is an apocalyptic number.

11522424231340 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 11522424231340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14138418665952).

11522424231340 is an abundant number, since it is smaller than the sum of its proper divisors (16754413100564).

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

11522424231340 is a wasteful number, since it uses less digits than its factorization.

11522424231340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3906040 (or 3906027 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

Adding to 11522424231340 its reverse (4313242422511), we get a palindrome (15835666653851).

The spelling of 11522424231340 in words is "eleven trillion, five hundred twenty-two billion, four hundred twenty-four million, two hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 53 55 92 106 110 115 121 212 220 230 242 253 265 460 484 506 530 583 605 1012 1060 1166 1210 1219 1265 2332 2420 2438 2530 2783 2915 4876 5060 5566 5830 6095 6413 11132 11660 12190 12826 13409 13915 24380 25652 26818 27830 32065 53636 55660 64130 67045 128260 134090 147499 268180 294998 589996 737495 1474990 2949980 3905933 7811866 15623732 19529665 39059330 42965263 78118660 85930526 89836459 171861052 179672918 207014449 214826315 359345836 414028898 429652630 449182295 472617893 828057796 859305260 898364590 945235786 988201049 1035072245 1796729180 1890471572 1976402098 2070144490 2277158939 2363089465 3952804196 4140288980 4554317878 4726178930 4761332327 4941005245 9108635756 9452357860 9522664654 9882010490 10870211539 11385794695 19045329308 19764020980 21740423078 22771589390 23806661635 25048748329 43480846156 45543178780 47613323270 50097496658 52374655597 54351057695 95226646540 100194993316 104749311194 108702115390 125243741645 209498622388 217404230780 250487483290 261873277985 500974966580 523746555970 576121211567 1047493111940 1152242423134 2304484846268 2880606057835 5761212115670 11522424231340