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21110010002000 = 245319229238241
BaseRepresentation
bin1001100110011000011101…
…01001011011101001010000
32202202002121220010001200022
410303030032221123221100
510231331300030031000
6112521445452443012
74306101504246503
oct463141651335120
982662556101608
1021110010002000
1167a9783344757
12244b317779468
13ba1885b6bbca
1452da30d2d13a
152691be51d585
hex13330ea5ba50

21110010002000 has 120 divisors (see below), whose sum is σ = 53871928696872. Its totient is φ = 7999582464000.

The previous prime is 21110010001987. The next prime is 21110010002069. The reversal of 21110010002000 is 20001001112.

It can be written as a sum of positive squares in 4 ways, for example, as 12413525056 + 21097596476944 = 111416^2 + 4593212^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

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, 13897121 + ... + 15341120.

Almost surely, 221110010002000 is an apocalyptic number.

21110010002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21110010002000 is an abundant number, since it is smaller than the sum of its proper divisors (32761918694872).

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

21110010002000 is a wasteful number, since it uses less digits than its factorization.

21110010002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29238302 (or 29238267 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 21110010002000 its reverse (20001001112), we get a palindrome (21130011003112).

The spelling of 21110010002000 in words is "twenty-one trillion, one hundred ten billion, ten million, two thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 361 380 400 475 500 722 760 950 1000 1444 1520 1805 1900 2000 2375 2888 3610 3800 4750 5776 7220 7600 9025 9500 14440 18050 19000 28880 36100 38000 45125 72200 90250 144400 180500 361000 722000 29238241 58476482 116952964 146191205 233905928 292382410 467811856 555526579 584764820 730956025 1111053158 1169529640 1461912050 2222106316 2339059280 2777632895 2923824100 3654780125 4444212632 5555265790 5847648200 7309560250 8888425264 10555005001 11110531580 11695296400 13888164475 14619120500 21110010002 22221063160 27776328950 29238241000 42220020004 44442126320 52775025005 55552657900 58476482000 69440822375 84440040008 105550050010 111105315800 138881644750 168880080016 211100100020 222210631600 263875125025 277763289500 422200200040 527750250050 555526579000 844400400080 1055500500100 1111053158000 1319375625125 2111001000200 2638751250250 4222002000400 5277502500500 10555005001000 21110010002000