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112023212213100 = 22352439119532349
BaseRepresentation
bin11001011110001001101111…
…110001010100001101101100
3112200122022111021021020022110
4121132021233301110031230
5104140342014311304400
61034130430411044020
732411260425546366
oct3136115761241554
9480568437236273
10112023212213100
113276a860945271
1210692a23140610
134a67988866c66
141d93d4955dd36
15ce3eaa46ce50
hex65e26fc5436c

112023212213100 has 144 divisors (see below), whose sum is σ = 332022274214400. Its totient is φ = 29146107244800.

The previous prime is 112023212213041. The next prime is 112023212213119. The reversal of 112023212213100 is 1312212320211.

It is a super-2 number, since 2×1120232122131002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6985726 + ... + 16518074.

It is an arithmetic number, because the mean of its divisors is an integer number (2305710237600).

Almost surely, 2112023212213100 is an apocalyptic number.

112023212213100 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 112023212213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166011137107200).

112023212213100 is an abundant number, since it is smaller than the sum of its proper divisors (219999062001300).

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

112023212213100 is a wasteful number, since it uses less digits than its factorization.

112023212213100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9533320 (or 9533313 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 112023212213100 its reverse (1312212320211), we get a palindrome (113335424533311).

The spelling of 112023212213100 in words is "one hundred twelve trillion, twenty-three billion, two hundred twelve million, two hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 172 215 258 300 430 516 645 860 911 1075 1290 1822 2150 2580 2733 3225 3644 4300 4555 5466 6450 9110 10932 12900 13665 18220 22775 27330 39173 45550 54660 68325 78346 91100 117519 136650 156692 195865 235038 273300 391730 470076 587595 783460 979325 1175190 1958650 2350380 2937975 3917300 5875950 9532349 11751900 19064698 28597047 38129396 47661745 57194094 95323490 114388188 142985235 190646980 238308725 285970470 409891007 476617450 571940940 714926175 819782014 953234900 1229673021 1429852350 1639564028 2049455035 2459346042 2859704700 4098910070 4918692084 6148365105 8197820140 8683969939 10247275175 12296730210 17367939878 20494550350 24593460420 26051909817 30741825525 34735879756 40989100700 43419849695 52103819634 61483651050 86839699390 104207639268 122967302100 130259549085 173679398780 217099248475 260519098170 373410707377 434198496950 521038196340 651297745425 746821414754 868396993900 1120232122131 1302595490850 1493642829508 1867053536885 2240464244262 2605190981700 3734107073770 4480928488524 5601160610655 7468214147540 9335267684425 11202321221310 18670535368850 22404642442620 28005803053275 37341070737700 56011606106550 112023212213100