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210212020000000 = 285710510601
BaseRepresentation
bin101111110010111111001100…
…110001111001010100000000
31000120022001222002220021002101
4233302333030301321110000
5210023103204110000000
62023030022511000144
762164213551151654
oct5762771461712400
91016261862807071
10210212020000000
1160a8646508a467
121b6b05b8209054
13903aba6a814b5
1439ca45d37aa64
15194816c827e6a
hexbf2fccc79500

210212020000000 has 144 divisors (see below), whose sum is σ = 524502331294032. Its totient is φ = 84084800000000.

The previous prime is 210212019999977. The next prime is 210212020000057. The reversal of 210212020000000 is 20212012.

It can be written as a sum of positive squares in 8 ways, for example, as 178181491159296 + 32030528840704 = 13348464^2 + 5659552^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14744700 + ... + 25255300.

It is an arithmetic number, because the mean of its divisors is an integer number (3642377300653).

Almost surely, 2210212020000000 is an apocalyptic number.

210212020000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210212020000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262251165647016).

210212020000000 is an abundant number, since it is smaller than the sum of its proper divisors (314290311294032).

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

210212020000000 is an frugal number, since it uses more digits than its factorization.

210212020000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10510652 (or 10510608 counting only the distinct ones).

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

Adding to 210212020000000 its reverse (20212012), we get a palindrome (210212040212012).

The spelling of 210212020000000 in words is "two hundred ten trillion, two hundred twelve billion, twenty 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 78125 80000 100000 125000 156250 160000 200000 250000 312500 400000 500000 625000 800000 1000000 1250000 2000000 2500000 4000000 5000000 10000000 10510601 20000000 21021202 42042404 52553005 84084808 105106010 168169616 210212020 262765025 336339232 420424040 525530050 672678464 840848080 1051060100 1313825125 1345356928 1681696160 2102120200 2627650250 2690713856 3363392320 4204240400 5255300500 6569125625 6726784640 8408480800 10510601000 13138251250 13453569280 16816961600 21021202000 26276502500 32845628125 33633923200 42042404000 52553005000 65691256250 67267846400 84084808000 105106010000 131382512500 164228140625 168169616000 210212020000 262765025000 328456281250 336339232000 420424040000 525530050000 656912562500 821140703125 840848080000 1051060100000 1313825125000 1642281406250 1681696160000 2102120200000 2627650250000 3284562812500 4204240400000 5255300500000 6569125625000 8408480800000 10510601000000 13138251250000 21021202000000 26276502500000 42042404000000 52553005000000 105106010000000 210212020000000