Search a number
-
+
220211222000100 = 223523411792151473
BaseRepresentation
bin110010000100011111101011…
…101010011011000111100100
31001212200222122200112220211220
4302010133223222123013210
5212330420040313000400
62100203345552100340
764245510236613042
oct6204375352330744
91055628580486756
10220211222000100
1164191066a19331
12208464b08346b0
1395b4aa17a7316
143c543cc501392
151a6d2ec68b7a0
hexc847eba9b1e4

220211222000100 has 72 divisors (see below), whose sum is σ = 637146632609760. Its totient is φ = 58722793121280.

The previous prime is 220211222000093. The next prime is 220211222000111. The reversal of 220211222000100 is 1000222112022.

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 220211222000100.

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, 101277964 + ... + 103429436.

Almost surely, 2220211222000100 is an apocalyptic number.

220211222000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220211222000100 is an abundant number, since it is smaller than the sum of its proper divisors (416935410609660).

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

220211222000100 is a wasteful number, since it uses less digits than its factorization.

220211222000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2492669 (or 2492662 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 220211222000100 its reverse (1000222112022), we get a palindrome (221211444112122).

The spelling of 220211222000100 in words is "two hundred twenty trillion, two hundred eleven billion, two hundred twenty-two million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 341179 682358 1023537 1364716 1705895 2047074 2151473 3411790 4094148 4302946 5117685 6454419 6823580 8529475 8605892 10235370 10757365 12908838 17058950 20470740 21514730 25588425 25817676 32272095 34117900 43029460 51176850 53786825 64544190 102353700 107573650 129088380 161360475 215147300 322720950 645441900 734037406667 1468074813334 2202112220001 2936149626668 3670187033335 4404224440002 7340374066670 8808448880004 11010561100005 14680748133340 18350935166675 22021122200010 36701870333350 44042244400020 55052805500025 73403740666700 110105611000050 220211222000100