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11121342121104 = 2436771160930271
BaseRepresentation
bin1010000111010110001110…
…1001011000010010010000
31110101012010110021002211220
42201311203221120102100
52424203002040333404
635353023554205040
72225330140200255
oct241654351302220
943335113232756
1011121342121104
1135a8597770526
1212b7482b83780
136289796a3507
142a63c0c4542c
151444593c04d9
hexa1d63a58490

11121342121104 has 160 divisors (see below), whose sum is σ = 29588986183680. Its totient is φ = 3597993907200.

The previous prime is 11121342121091. The next prime is 11121342121139. The reversal of 11121342121104 is 40112124312111.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 367377489 + ... + 367407759.

It is an arithmetic number, because the mean of its divisors is an integer number (184931163648).

Almost surely, 211121342121104 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 11121342121104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14794493091840).

11121342121104 is an abundant number, since it is smaller than the sum of its proper divisors (18467644062576).

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

11121342121104 is a wasteful number, since it uses less digits than its factorization.

11121342121104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32029 (or 32023 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 11121342121104 its reverse (40112124312111), we get a palindrome (51233466433215).

The spelling of 11121342121104 in words is "eleven trillion, one hundred twenty-one billion, three hundred forty-two million, one hundred twenty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 71 134 142 201 213 268 284 402 426 536 568 804 852 1072 1136 1608 1609 1704 3216 3218 3408 4757 4827 6436 9514 9654 12872 14271 19028 19308 25744 28542 30271 38056 38616 57084 60542 76112 77232 90813 107803 114168 114239 121084 181626 215606 228336 228478 242168 323409 342717 363252 431212 456956 484336 646818 685434 726504 862424 913912 1293636 1370868 1453008 1724848 1827824 2028157 2149241 2587272 2741736 4056314 4298482 5174544 5483472 6084471 6447723 7654013 8112628 8596964 12168942 12895446 15308026 16225256 17193928 22962039 24337884 25790892 30616052 32450512 34387856 45924078 48675768 48706039 51581784 61232104 91848156 97351536 97412078 103163568 122464208 143999147 146118117 183696312 194824156 287998294 292236234 367392624 389648312 431997441 575996588 584472468 779296624 863994882 1151993176 1168944936 1727989764 2303986352 2337889872 3263304613 3455979528 3458128769 6526609226 6911959056 6916257538 9789913839 10374386307 13053218452 13832515076 19579827678 20748772614 26106436904 27665030152 39159655356 41497545228 52212873808 55330060304 78319310712 82995090456 156638621424 165990180912 231694627523 463389255046 695083882569 926778510092 1390167765138 1853557020184 2780335530276 3707114040368 5560671060552 11121342121104