Search a number
-
+
11442333300 = 22352414719793
BaseRepresentation
bin10101010100000010…
…00010011001110100
31002112102202202110020
422222001002121310
5141413214131200
65131224525140
7553360141206
oct125201023164
932472682406
1011442333300
114941998402
1222740207b0
13110476b828
147a7934776
1546e815ea0
hex2aa042674

11442333300 has 144 divisors (see below), whose sum is σ = 34637283072. Its totient is φ = 2913382400.

The previous prime is 11442333289. The next prime is 11442333317. The reversal of 11442333300 is 333324411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 568204 + ... + 587996.

It is an arithmetic number, because the mean of its divisors is an integer number (240536688).

Almost surely, 211442333300 is an apocalyptic number.

11442333300 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 11442333300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17318641536).

11442333300 is an abundant number, since it is smaller than the sum of its proper divisors (23194949772).

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

11442333300 is a wasteful number, since it uses less digits than its factorization.

11442333300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19898 (or 19891 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 11442333300 its reverse (333324411), we get a palindrome (11775657711).

The spelling of 11442333300 in words is "eleven billion, four hundred forty-two million, three hundred thirty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 47 50 60 75 82 94 100 123 141 150 164 188 205 235 246 282 300 410 470 492 564 615 705 820 940 1025 1175 1230 1410 1927 2050 2350 2460 2820 3075 3525 3854 4100 4700 5781 6150 7050 7708 9635 11562 12300 14100 19270 19793 23124 28905 38540 39586 48175 57810 59379 79172 96350 98965 115620 118758 144525 192700 197930 237516 289050 296895 395860 494825 578100 593790 811513 930271 989650 1187580 1484475 1623026 1860542 1979300 2434539 2790813 2968950 3246052 3721084 4057565 4651355 4869078 5581626 5937900 8115130 9302710 9738156 11163252 12172695 13954065 16230260 18605420 20287825 23256775 24345390 27908130 38141111 40575650 46513550 48690780 55816260 60863475 69770325 76282222 81151300 93027100 114423333 121726950 139540650 152564444 190705555 228846666 243453900 279081300 381411110 457693332 572116665 762822220 953527775 1144233330 1907055550 2288466660 2860583325 3814111100 5721166650 11442333300