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21200110100010 = 2325632937218641
BaseRepresentation
bin1001101001000000010010…
…00010000001111000101010
32210001201012010100021110100
410310200021002001320222
510234320311141200020
6113031110210330230
74315441330404132
oct464401102017052
983051163307410
1021200110100010
116833a09513976
122464881b89976
13baa21463a47a
1453413b245ac2
1526b6e456da90
hex134809081e2a

21200110100010 has 48 divisors (see below), whose sum is σ = 55128996903240. Its totient is φ = 5652469294080.

The previous prime is 21200110100003. The next prime is 21200110100023. The reversal of 21200110100010 is 1000101100212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 19364602673529 + 1835507426481 = 4400523^2 + 1354809^2 .

It is a super-3 number, since 3×212001101000103 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 21200110099965 and 21200110100001.

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, 18039711 + ... + 19178930.

Almost surely, 221200110100010 is an apocalyptic number.

21200110100010 is an abundant number, since it is smaller than the sum of its proper divisors (33928886803230).

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

21200110100010 is a wasteful number, since it uses less digits than its factorization.

21200110100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37224983 (or 37224980 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 21200110100010 its reverse (1000101100212), we get a palindrome (22200211200222).

The spelling of 21200110100010 in words is "twenty-one trillion, two hundred billion, one hundred ten million, one hundred thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 6329 12658 18987 31645 37974 56961 63290 94935 113922 189870 284805 569610 37218641 74437282 111655923 186093205 223311846 334967769 372186410 558279615 669935538 1116559230 1674838845 3349677690 235556778889 471113557778 706670336667 1177783894445 1413340673334 2120011010001 2355567788890 3533351683335 4240022020002 7066703366670 10600055050005 21200110100010