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210122002220200 = 23527701214104343
BaseRepresentation
bin101111110001101011010111…
…010011010100010010101000
31000112222110121121120020122221
4233301223113103110102220
5210020114330032021300
62022520414253323424
762154546044514160
oct5761532723242250
91015873547506587
10210122002220200
1160a51271425124
121b697075496574
13903255c375535
1439c5d5dd715a0
151945b4eb3831a
hexbf1ad74d44a8

210122002220200 has 96 divisors (see below), whose sum is σ = 559120648095360. Its totient is φ = 71939058912000.

The previous prime is 210122002220173. The next prime is 210122002220239. The reversal of 210122002220200 is 2022200221012.

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, 106070772 + ... + 108033571.

It is an arithmetic number, because the mean of its divisors is an integer number (5824173417660).

Almost surely, 2210122002220200 is an apocalyptic number.

210122002220200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210122002220200 is an abundant number, since it is smaller than the sum of its proper divisors (348998645875160).

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

210122002220200 is a wasteful number, since it uses less digits than its factorization.

210122002220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214105067 (or 214105058 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 210122002220200 its reverse (2022200221012), we get a palindrome (212144202441212).

It can be divided in two parts, 21012200 and 2220200, that added together give a square (23232400 = 48202).

The spelling of 210122002220200 in words is "two hundred ten trillion, one hundred twenty-two billion, two million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 701 1400 1402 2804 3505 4907 5608 7010 9814 14020 17525 19628 24535 28040 35050 39256 49070 70100 98140 122675 140200 196280 245350 490700 981400 214104343 428208686 856417372 1070521715 1498730401 1712834744 2141043430 2997460802 4282086860 5352608575 5994921604 7493652005 8564173720 10705217150 11989843208 14987304010 21410434300 29974608020 37468260025 42820868600 59949216040 74936520050 149873040100 150087144443 299746080200 300174288886 600348577772 750435722215 1050610011101 1200697155544 1500871444430 2101220022202 3001742888860 3752178611075 4202440044404 5253050055505 6003485777720 7504357222150 8404880088808 10506100111010 15008714444300 21012200222020 26265250277525 30017428888600 42024400444040 52530500555050 105061001110100 210122002220200