Search a number
-
+
11213110332304 = 2429431097396977
BaseRepresentation
bin1010001100101100000101…
…1101010100101110010000
31110200221222221100020201221
42203023001131110232100
52432203422221113204
635503122021334424
72235056220132436
oct243130135245620
943627887306657
1011213110332304
1136334a9503891
121311213b67414
136345129355ba
142aaa08902d56
15146a2aac6654
hexa32c1754b90

11213110332304 has 160 divisors (see below), whose sum is σ = 23242936464000. Its totient is φ = 5230990098432.

The previous prime is 11213110332257. The next prime is 11213110332313. The reversal of 11213110332304 is 40323301131211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1607150064 + ... + 1607157040.

It is an arithmetic number, because the mean of its divisors is an integer number (145268352900).

Almost surely, 211213110332304 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 11213110332304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11621468232000).

11213110332304 is an abundant number, since it is smaller than the sum of its proper divisors (12029826131696).

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

11213110332304 is a wasteful number, since it uses less digits than its factorization.

11213110332304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7905 (or 7899 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 11213110332304 its reverse (40323301131211), we get a palindrome (51536411463515).

The spelling of 11213110332304 in words is "eleven trillion, two hundred thirteen billion, one hundred ten million, three hundred thirty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 29 43 58 86 109 116 172 218 232 344 436 464 688 739 872 1247 1478 1744 2494 2956 3161 4687 4988 5912 6322 6977 9374 9976 11824 12644 13954 18748 19952 21431 25288 27908 31777 37496 42862 50576 55816 63554 74992 80551 85724 111632 127108 135923 161102 171448 202333 254216 271846 300011 322204 342896 404666 508432 543692 600022 644408 760493 809332 921533 1087384 1200044 1288816 1520986 1618664 1843066 2174768 2335979 2400088 3041972 3237328 3463693 3686132 4671958 4800176 5156003 6083944 6927386 7372264 8700319 9343916 10312006 12167888 13854772 14744528 17400638 18687832 20624012 22054297 27709544 32701199 34801276 37375664 41248024 44108594 55419088 65402398 69602552 82496048 88217188 100447097 130804796 139205104 149524087 176434376 200894194 221708129 261609592 299048174 352868752 401788388 443416258 523219184 562004327 598096348 803576776 886832516 948334771 1124008654 1196192696 1607153552 1773665032 1896669542 2248017308 2392385392 3547330064 3793339084 4496034616 6429535741 7586678168 8992069232 12859071482 15173356336 16298125483 24166186061 25718142964 32596250966 48332372122 51436285928 65192501932 96664744244 102872571856 130385003864 193329488488 260770007728 386658976976 700819395769 1401638791538 2803277583076 5606555166152 11213110332304