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112211100001020 = 223537431175477687
BaseRepresentation
bin11001100000111000101110…
…110000010110001011111100
3112201022021110111021210102110
4121200320232300112023330
5104201431313100013040
61034353022342254020
732430661443442626
oct3140705660261374
9481267414253373
10112211100001020
1132832507682239
121070331a427310
134a7c5cc6c3427
141d9d090b73c16
15ce8d053a8980
hex660e2ec162fc

112211100001020 has 96 divisors (see below), whose sum is σ = 330186980648448. Its totient is φ = 28437156179712.

The previous prime is 112211100001019. The next prime is 112211100001031. The reversal of 112211100001020 is 20100001112211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 112211100000987 and 112211100001005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 587643384 + ... + 587834303.

It is an arithmetic number, because the mean of its divisors is an integer number (3439447715088).

Almost surely, 2112211100001020 is an apocalyptic number.

112211100001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112211100001020 is an abundant number, since it is smaller than the sum of its proper divisors (217975880647428).

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

112211100001020 is a wasteful number, since it uses less digits than its factorization.

112211100001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175477779 (or 1175477777 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 112211100001020 its reverse (20100001112211), we get a palindrome (132311101113231).

The spelling of 112211100001020 in words is "one hundred twelve trillion, two hundred eleven billion, one hundred million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 43 60 74 86 111 129 148 172 185 215 222 258 370 430 444 516 555 645 740 860 1110 1290 1591 2220 2580 3182 4773 6364 7955 9546 15910 19092 23865 31820 47730 95460 1175477687 2350955374 3526433061 4701910748 5877388435 7052866122 11754776870 14105732244 17632165305 23509553740 35264330610 43492674419 50545540541 70528661220 86985348838 101091081082 130478023257 151636621623 173970697676 202182162164 217463372095 252727702705 260956046514 303273243246 434926744190 505455405410 521912093028 606546486492 652390116285 758183108115 869853488380 1010910810820 1304780232570 1516366216230 1870185000017 2609560465140 3032732432460 3740370000034 5610555000051 7480740000068 9350925000085 11221110000102 18701850000170 22442220000204 28052775000255 37403700000340 56105550000510 112211100001020