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11002111021000 = 2353114323260277
BaseRepresentation
bin1010000000011010000011…
…1010110100111111001000
31102221210101000220122201101
42200012200322310333020
52420224310410133000
635222144450031144
72213606365441441
oct240064072647710
942853330818641
1011002111021000
113561a72935270
1212983488784b4
1361a6578a03c8
142a070da902c8
151412cbb9be6a
hexa01a0eb4fc8

11002111021000 has 128 divisors (see below), whose sum is σ = 28738538674560. Its totient is φ = 3907726368000.

The previous prime is 11002111020983. The next prime is 11002111021037. The reversal of 11002111021000 is 12011120011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11157139 + ... + 12103138.

It is an arithmetic number, because the mean of its divisors is an integer number (224519833395).

Almost surely, 211002111021000 is an apocalyptic number.

11002111021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11002111021000 is an abundant number, since it is smaller than the sum of its proper divisors (17736427653560).

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

11002111021000 is a wasteful number, since it uses less digits than its factorization.

11002111021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23260352 (or 23260338 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11002111021000 its reverse (12011120011), we get a palindrome (11014122141011).

The spelling of 11002111021000 in words is "eleven trillion, two billion, one hundred eleven million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 43 44 50 55 86 88 100 110 125 172 200 215 220 250 275 344 430 440 473 500 550 860 946 1000 1075 1100 1375 1720 1892 2150 2200 2365 2750 3784 4300 4730 5375 5500 8600 9460 10750 11000 11825 18920 21500 23650 43000 47300 59125 94600 118250 236500 473000 23260277 46520554 93041108 116301385 186082216 232602770 255863047 465205540 511726094 581506925 930411080 1000191911 1023452188 1163013850 1279315235 2000383822 2046904376 2326027700 2558630470 2907534625 4000767644 4652055400 5000959555 5117260940 5815069250 6396576175 8001535288 10001919110 10234521880 11002111021 11630138500 12793152350 20003838220 22004222042 23260277000 25004797775 25586304700 31982880875 40007676440 44008444084 50009595550 51172609400 55010555105 63965761750 88016888168 100019191100 110021110210 125023988875 127931523500 200038382200 220042220420 250047977750 255863047000 275052775525 440084440840 500095955500 550105551050 1000191911000 1100211102100 1375263877625 2200422204200 2750527755250 5501055510500 11002111021000