Search a number
-
+
111220202010112 = 2913101199831373
BaseRepresentation
bin11001010010011101111000…
…101000011111011000000000
3112120210112210002220100010021
4121102131320220133120000
5104034212433203310422
61032313504435343224
732266252200465346
oct3122357050373000
9476715702810107
10111220202010112
113249024a591508
1210583278751b14
134a0a035072cb0
141d6712d4d7996
15ccd15cc6ddc7
hex652778a1f600

111220202010112 has 160 divisors (see below), whose sum is σ = 242901543931200. Its totient is φ = 50568700723200.

The previous prime is 111220202010107. The next prime is 111220202010119. The reversal of 111220202010112 is 211010202022111.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111220202010119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133363258 + ... + 134194630.

It is an arithmetic number, because the mean of its divisors is an integer number (1518134649570).

Almost surely, 2111220202010112 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 111220202010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121450771965600).

111220202010112 is an abundant number, since it is smaller than the sum of its proper divisors (131681341921088).

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

111220202010112 is a wasteful number, since it uses less digits than its factorization.

111220202010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831704 (or 831688 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 111220202010112 its reverse (211010202022111), we get a palindrome (322230404032223).

The spelling of 111220202010112 in words is "one hundred eleven trillion, two hundred twenty billion, two hundred two million, ten thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 101 104 128 199 202 208 256 398 404 416 512 796 808 832 1313 1592 1616 1664 2587 2626 3184 3232 3328 5174 5252 6368 6464 6656 10348 10504 12736 12928 20099 20696 21008 25472 25856 40198 41392 42016 50944 51712 80396 82784 84032 101888 160792 165568 168064 261287 321584 331136 336128 522574 643168 662272 672256 831373 1045148 1286336 1324544 1662746 2090296 2572672 3325492 4180592 5145344 6650984 8361184 10290688 10807849 13301968 16722368 21615698 26603936 33444736 43231396 53207872 66889472 83968673 86462792 106415744 133778944 165443227 167937346 172925584 212831488 330886454 335874692 345851168 425662976 661772908 671749384 691702336 1091592749 1323545816 1343498768 1383404672 2150761951 2183185498 2647091632 2686997536 2766809344 4301523902 4366370996 5294183264 5373995072 5533618688 8603047804 8732741992 10588366528 10747990144 16709765927 17206095608 17465483984 21176733056 21495980288 33419531854 34412191216 34930967968 42353466112 42991960576 66839063708 68824382432 69861935936 84706932224 133678127416 137648764864 139723871872 217226957051 267356254832 275297529728 279447743744 434453914102 534712509664 550595059456 558895487488 868907828204 1069425019328 1101190118912 1737815656408 2138850038656 3475631312816 4277700077312 6951262625632 8555400154624 13902525251264 27805050502528 55610101005056 111220202010112