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112121022202020 = 2232513334031434451
BaseRepresentation
bin11001011111100100110101…
…101100110100000010100100
3112200222122221211000111010200
4121133210311230310002210
5104143442323140431040
61034243404142350500
732421322311001056
oct3137446554640244
9480878854014120
10112121022202020
11327a8293053657
12106a997b58b430
134a73c75731850
141d989877c38d6
15ce67d22b0630
hex65f935b340a4

112121022202020 has 144 divisors (see below), whose sum is σ = 366273226143552. Its totient is φ = 27598175366400.

The previous prime is 112121022201971. The next prime is 112121022202099. The reversal of 112121022202020 is 20202220121211.

It is a happy number.

112121022202020 is a `hidden beast` number, since 11 + 21 + 210 + 2 + 220 + 202 + 0 = 666.

It is a super-2 number, since 2×1121210222020202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112121022201984 and 112121022202002.

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 47 ways as a sum of consecutive naturals, for example, 77445795 + ... + 78880245.

Almost surely, 2112121022202020 is an apocalyptic number.

112121022202020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112121022202020 is an abundant number, since it is smaller than the sum of its proper divisors (254152203941532).

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

112121022202020 is a wasteful number, since it uses less digits than its factorization.

112121022202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467882 (or 1467877 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 112121022202020 its reverse (20202220121211), we get a palindrome (132323242323231).

The spelling of 112121022202020 in words is "one hundred twelve trillion, one hundred twenty-one billion, twenty-two million, two hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 33403 66806 100209 133612 167015 200418 300627 334030 400836 434239 501045 601254 668060 868478 1002090 1202508 1302717 1434451 1503135 1736956 2004180 2171195 2605434 2868902 3006270 3908151 4303353 4342390 5210868 5737804 6012540 6513585 7172255 7816302 8606706 8684780 12910059 13027170 14344510 15632604 17213412 18647863 19540755 21516765 25820118 26054340 28689020 37295726 39081510 43033530 51640236 55943589 64550295 74591452 78163020 86067060 93239315 111887178 129100590 167830767 186478630 223774356 258201180 279717945 335661534 372957260 559435890 671323068 839153835 1118871780 1678307670 3356615340 47914966753 95829933506 143744900259 191659867012 239574833765 287489800518 431234700777 479149667530 574979601036 622894567789 718724501295 862469401554 958299335060 1245789135578 1437449002590 1724938803108 1868683703367 2156173503885 2491578271156 2874898005180 3114472838945 3737367406734 4312347007770 5606051110101 6228945677890 7474734813468 8624694015540 9343418516835 11212102220202 12457891355780 18686837033670 22424204440404 28030255550505 37373674067340 56060511101010 112121022202020