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111112002220120 = 235112111642172883
BaseRepresentation
bin11001010000111001000111…
…011011000011000001011000
3112120102012111110220111121221
4121100321013123003001120
5104030424340032020440
61032152052114341424
732255401665445516
oct3120710733030130
9476365443814557
10111112002220120
1132449376629870
121056630088a874
1349cca8080a915
141d61bc74434b6
15cca428c21d4a
hex650e476c3058

111112002220120 has 128 divisors (see below), whose sum is σ = 274042463950080. Its totient is φ = 40209873984000.

The previous prime is 111112002220091. The next prime is 111112002220171. The reversal of 111112002220120 is 21022200211111.

It is a junction number, because it is equal to n+sod(n) for n = 111112002220094 and 111112002220103.

It is a congruent number.

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, 1524489199 + ... + 1524562081.

It is an arithmetic number, because the mean of its divisors is an integer number (2140956749610).

Almost surely, 2111112002220120 is an apocalyptic number.

111112002220120 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 111112002220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137021231975040).

111112002220120 is an abundant number, since it is smaller than the sum of its proper divisors (162930461729960).

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

111112002220120 is a wasteful number, since it uses less digits than its factorization.

111112002220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89537 (or 89533 counting only the distinct ones).

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

Adding to 111112002220120 its reverse (21022200211111), we get a palindrome (132134202431231).

The spelling of 111112002220120 in words is "one hundred eleven trillion, one hundred twelve billion, two million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 211 220 422 440 844 1055 1688 2110 2321 4220 4642 8440 9284 11605 16421 18568 23210 32842 46420 65684 72883 82105 92840 131368 145766 164210 180631 291532 328420 361262 364415 583064 656840 722524 728830 801713 903155 1445048 1457660 1603426 1806310 2915320 3206852 3464831 3612620 4008565 6413704 6929662 7225240 8017130 13859324 15378313 16034260 17324155 27718648 30756626 32068520 34648310 38113141 61513252 69296620 76226282 76891565 123026504 138593240 152452564 153783130 169161443 190565705 304905128 307566260 338322886 381131410 615132520 676645772 762262820 845807215 1196811743 1353291544 1524525640 1691614430 2393623486 3383228860 4787246972 5984058715 6766457720 9574493944 11968117430 13164929173 23936234860 26329858346 47872469720 52659716692 65824645865 105319433384 131649291730 252527277773 263298583460 505054555546 526597166920 1010109111092 1262636388865 2020218222184 2525272777730 2777800055503 5050545555460 5555600111006 10101091110920 11111200222012 13889000277515 22222400444024 27778000555030 55556001110060 111112002220120