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220010212000000 = 285655002553
BaseRepresentation
bin110010000001100100011110…
…100010001000000100000000
31001211222202210221202220200101
4302001210132202020010000
5212314121403233000000
62055531143542132144
764225133103035242
oct6201443642100400
91054882727686611
10220010212000000
1164113897024104
1220813552a21054
13959bb49159366
143c487a022c092
151a67e8570ce6a
hexc8191e888100

220010212000000 has 126 divisors (see below), whose sum is σ = 548944244790914. Its totient is φ = 88004083200000.

The previous prime is 220010211999979. The next prime is 220010212000009. The reversal of 220010212000000 is 212010022.

It can be written as a sum of positive squares in 7 ways, for example, as 209266081825024 + 10744130174976 = 14466032^2 + 3277824^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (220010212000009) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 23501277 + ... + 31501276.

Almost surely, 2220010212000000 is an apocalyptic number.

220010212000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220010212000000 is an abundant number, since it is smaller than the sum of its proper divisors (328934032790914).

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

220010212000000 is an frugal number, since it uses more digits than its factorization.

220010212000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55002599 (or 55002560 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 220010212000000 its reverse (212010022), we get a palindrome (220010424010022).

The spelling of 220010212000000 in words is "two hundred twenty trillion, ten billion, two hundred twelve million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3125 3200 4000 5000 6250 6400 8000 10000 12500 15625 16000 20000 25000 31250 32000 40000 50000 62500 80000 100000 125000 160000 200000 250000 400000 500000 800000 1000000 2000000 4000000 55002553 110005106 220010212 275012765 440020424 550025530 880040848 1100051060 1375063825 1760081696 2200102120 2750127650 3520163392 4400204240 5500255300 6875319125 7040326784 8800408480 11000510600 13750638250 14080653568 17600816960 22001021200 27501276500 34376595625 35201633920 44002042400 55002553000 68753191250 70403267840 88004084800 110005106000 137506382500 171882978125 176008169600 220010212000 275012765000 343765956250 352016339200 440020424000 550025530000 687531912500 859414890625 880040848000 1100051060000 1375063825000 1718829781250 1760081696000 2200102120000 2750127650000 3437659562500 4400204240000 5500255300000 6875319125000 8800408480000 11000510600000 13750638250000 22001021200000 27501276500000 44002042400000 55002553000000 110005106000000 220010212000000