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210021100220000 = 255470914811079
BaseRepresentation
bin101111110000001101011001…
…000100101110111001100000
31000112121211011120122112202102
4233300031121010232321200
5210011441203124020000
62022402210025305532
762144344435616366
oct5760153104567140
91015554146575672
10210021100220000
1160a124a2920a13
121b67b5b56352a8
139025b9ba1bb84
1439c110b1d3636
1519431e66293d5
hexbf035912ee60

210021100220000 has 120 divisors (see below), whose sum is σ = 517412194160400. Its totient is φ = 83889945792000.

The previous prime is 210021100219999. The next prime is 210021100220003. The reversal of 210021100220000 is 22001120012.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210021100220003) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 6774461 + ... + 21585539.

It is an arithmetic number, because the mean of its divisors is an integer number (4311768284670).

Almost surely, 2210021100220000 is an apocalyptic number.

210021100220000 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 210021100220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258706097080200).

210021100220000 is an abundant number, since it is smaller than the sum of its proper divisors (307391093940400).

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

210021100220000 is an equidigital number, since it uses as much as digits as its factorization.

210021100220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14811818 (or 14811795 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 210021100220000 its reverse (22001120012), we get a palindrome (210043101340012).

The spelling of 210021100220000 in words is "two hundred ten trillion, twenty-one billion, one hundred million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 709 800 1000 1250 1418 2000 2500 2836 3545 4000 5000 5672 7090 10000 11344 14180 17725 20000 22688 28360 35450 56720 70900 88625 113440 141800 177250 283600 354500 443125 567200 709000 886250 1418000 1772500 2836000 3545000 7090000 14180000 14811079 29622158 59244316 74055395 118488632 148110790 236977264 296221580 370276975 473954528 592443160 740553950 1184886320 1481107900 1851384875 2369772640 2962215800 3702769750 5924431600 7405539500 9256924375 10501055011 11848863200 14811079000 18513848750 21002110022 29622158000 37027697500 42004220044 52505275055 59244316000 74055395000 84008440088 105010550110 148110790000 168016880176 210021100220 262526375275 296221580000 336033760352 420042200440 525052750550 840084400880 1050105501100 1312631876375 1680168801760 2100211002200 2625263752750 4200422004400 5250527505500 6563159381875 8400844008800 10501055011000 13126318763750 21002110022000 26252637527500 42004220044000 52505275055000 105010550110000 210021100220000