Search a number
-
+
21111000210000 = 243254234566669
BaseRepresentation
bin1001100110011010010011…
…01010110001101001010000
32202202012011220100211200200
410303031021222301221100
510231340312023210000
6112522132024215200
74306135160005341
oct463151152615120
982665156324620
1021111000210000
1167aa14128a678
12244b55330a500
13ba19b305b0bc
1452dac664c0c8
1526922b418500
hex133349ab1a50

21111000210000 has 150 divisors (see below), whose sum is σ = 73828217415810. Its totient is φ = 5629600032000.

The previous prime is 21111000209977. The next prime is 21111000210019. The reversal of 21111000210000 is 1200011112.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 1973980040256 + 19137020169744 = 1404984^2 + 4374588^2 .

It is a tau number, because it is divible by the number of its divisors (150).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 117193335 + ... + 117373334.

Almost surely, 221111000210000 is an apocalyptic number.

21111000210000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21111000210000 is an abundant number, since it is smaller than the sum of its proper divisors (52717217205810).

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

21111000210000 is a wasteful number, since it uses less digits than its factorization.

21111000210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234566703 (or 234566679 counting only the distinct ones).

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

Adding to 21111000210000 its reverse (1200011112), we get a palindrome (21112200221112).

The spelling of 21111000210000 in words is "twenty-one trillion, one hundred eleven billion, two hundred ten thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 15000 18000 22500 30000 45000 90000 234566669 469133338 703700007 938266676 1172833345 1407400014 1876533352 2111100021 2345666690 2814800028 3518500035 3753066704 4222200042 4691333380 5629600056 5864166725 7037000070 8444400084 9382666760 10555500105 11259200112 11728333450 14074000140 16888800168 17592500175 18765333520 21111000210 23456666900 28148000280 29320833625 33777600336 35185000350 42222000420 46913333800 52777500525 56296000560 58641667250 70370000700 84444000840 87962500875 93826667600 105555001050 117283334500 140740001400 146604168125 168888001680 175925001750 211110002100 234566669000 263887502625 281480002800 293208336250 351850003500 422220004200 439812504375 469133338000 527775005250 586416672500 703700007000 844440008400 879625008750 1055550010500 1172833345000 1319437513125 1407400014000 1759250017500 2111100021000 2345666690000 2638875026250 3518500035000 4222200042000 5277750052500 7037000070000 10555500105000 21111000210000