Search a number
-
+
212021200111200 = 25352412154686993
BaseRepresentation
bin110000001101010100001000…
…010100010100011001100000
31000210201000202222110101200120
4300031110020110110121200
5210242223404212024300
62030533110015320240
762442011663314434
oct6015241024243140
91023630688411616
10212021200111200
1161613760099507
121b943166b20080
13913c689b8935c
143a4dc490469c4
15197a2582893a0
hexc0d508514660

212021200111200 has 144 divisors (see below), whose sum is σ = 706961421479376. Its totient is φ = 55159986995200.

The previous prime is 212021200111117. The next prime is 212021200111261. The reversal of 212021200111200 is 2111002120212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212021200111200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1077245097 + ... + 1077441896.

It is an arithmetic number, because the mean of its divisors is an integer number (4909454315829).

Almost surely, 2212021200111200 is an apocalyptic number.

212021200111200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212021200111200 is an abundant number, since it is smaller than the sum of its proper divisors (494940221368176).

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

212021200111200 is a wasteful number, since it uses less digits than its factorization.

212021200111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2154687057 (or 2154687044 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212021200111200 its reverse (2111002120212), we get a palindrome (214132202231412).

The spelling of 212021200111200 in words is "two hundred twelve trillion, twenty-one billion, two hundred million, one hundred eleven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 41 48 50 60 75 80 82 96 100 120 123 150 160 164 200 205 240 246 300 328 400 410 480 492 600 615 656 800 820 984 1025 1200 1230 1312 1640 1968 2050 2400 2460 3075 3280 3936 4100 4920 6150 6560 8200 9840 12300 16400 19680 24600 32800 49200 98400 2154686993 4309373986 6464060979 8618747972 10773434965 12928121958 17237495944 21546869930 25856243916 32320304895 34474991888 43093739860 51712487832 53867174825 64640609790 68949983776 86187479720 88342166713 103424975664 107734349650 129281219580 161601524475 172374959440 176684333426 206849951328 215468699300 258562439160 265026500139 323203048950 344749918880 353368666852 430937398600 441710833565 517124878320 530053000278 646406097900 706737333704 861874797200 883421667130 1034249756640 1060106000556 1292812195800 1325132500695 1413474667408 1723749594400 1766843334260 2120212001112 2208554167825 2585624391600 2650265001390 2826949334816 3533686668520 4240424002224 4417108335650 5171248783200 5300530002780 6625662503475 7067373337040 8480848004448 8834216671300 10601060005560 13251325006950 14134746674080 17668433342600 21202120011120 26502650013900 35336866685200 42404240022240 53005300027800 70673733370400 106010600055600 212021200111200