Search a number
-
+
1121094481892 = 227112598876323
BaseRepresentation
bin10000010100000110011…
…100000011011111100100
310222011202000001110212212
4100110012130003133210
5121332000141410032
62215005041302552
7143665523602520
oct20240634033744
93864660043785
101121094481892
113a24a9676500
12161338334a58
1381946151018
143c392c92d80
151e267862bb2
hex105067037e4

1121094481892 has 144 divisors (see below), whose sum is σ = 2509549378560. Its totient is φ = 428834915520.

The previous prime is 1121094481849. The next prime is 1121094482023. The reversal of 1121094481892 is 2981844901211.

It is a self number, because there is not a number n which added to its sum of digits gives 1121094481892.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 177301043 + ... + 177307365.

It is an arithmetic number, because the mean of its divisors is an integer number (17427426240).

Almost surely, 21121094481892 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 1121094481892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254774689280).

1121094481892 is an abundant number, since it is smaller than the sum of its proper divisors (1388454896668).

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

1121094481892 is a wasteful number, since it uses less digits than its factorization.

1121094481892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7302 (or 7289 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 50.

The spelling of 1121094481892 in words is "one trillion, one hundred twenty-one billion, ninety-four million, four hundred eighty-one thousand, eight hundred ninety-two".

Divisors: 1 2 4 7 11 14 22 28 44 59 77 118 121 154 236 242 308 413 484 649 826 847 887 1298 1652 1694 1774 2596 3388 3548 4543 6209 6323 7139 9086 9757 12418 12646 14278 18172 19514 24836 25292 28556 39028 44261 49973 52333 68299 69553 88522 99946 104666 107327 136598 139106 177044 199892 209332 214654 273196 278212 366331 373057 429308 486871 575663 732662 746114 751289 765083 973742 1151326 1465324 1492228 1502578 1530166 1947484 2302652 2611399 3005156 3060332 4029641 4103627 5222798 5355581 5608501 6332293 8059282 8207254 10445596 10711162 11217002 12664586 16118564 16414508 21422324 22434004 25329172 28725389 39259507 44326051 45139897 57450778 61693511 78519014 88652102 90279794 114901556 123387022 157038028 177304204 180559588 246774044 315979279 330901559 431854577 631958558 661803118 678628621 863709154 1263917116 1323606236 1357257242 1727418308 2316310913 2714514484 3639917149 4632621826 4750400347 7279834298 9265243652 9500800694 14559668596 19001601388 25479420043 40039088639 50958840086 80078177278 101917680172 160156354556 280273620473 560547240946 1121094481892