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11001132102000 = 243535573291781
BaseRepresentation
bin1010000000010110011010…
…0100100011000101110000
31102221200211210220102022010
42200011212210203011300
52420220304304231000
635221503400242520
72213543210661255
oct240054644430560
942850753812263
1011001132102000
1135616102aa9a7
121298114a70440
1361a52cb346b1
142a0659a6d42c
15141270c81d50
hexa0166923170

11001132102000 has 160 divisors (see below), whose sum is σ = 35531336902464. Its totient is φ = 2928367488000.

The previous prime is 11001132101923. The next prime is 11001132102089. The reversal of 11001132102000 is 20123110011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1696110 + ... + 4987890.

Almost surely, 211001132102000 is an apocalyptic number.

11001132102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11001132102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17765668451232).

11001132102000 is an abundant number, since it is smaller than the sum of its proper divisors (24530204800464).

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

11001132102000 is a wasteful number, since it uses less digits than its factorization.

11001132102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3292364 (or 3292348 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 11001132102000 its reverse (20123110011), we get a palindrome (11021255212011).

The spelling of 11001132102000 in words is "eleven trillion, one billion, one hundred thirty-two million, one hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 557 600 750 1000 1114 1200 1500 1671 2000 2228 2785 3000 3342 4456 5570 6000 6684 8355 8912 11140 13368 13925 16710 22280 26736 27850 33420 41775 44560 55700 66840 69625 83550 111400 133680 139250 167100 208875 222800 278500 334200 417750 557000 668400 835500 1114000 1671000 3291781 3342000 6583562 9875343 13167124 16458905 19750686 26334248 32917810 39501372 49376715 52668496 65835620 79002744 82294525 98753430 131671240 158005488 164589050 197506860 246883575 263342480 329178100 395013720 411472625 493767150 658356200 790027440 822945250 987534300 1234417875 1316712400 1645890500 1833522017 1975068600 2468835750 3291781000 3667044034 3950137200 4937671500 5500566051 6583562000 7334088068 9167610085 9875343000 11001132102 14668176136 18335220170 19750686000 22002264204 27502830255 29336352272 36670440340 44004528408 45838050425 55005660510 73340880680 88009056816 91676100850 110011321020 137514151275 146681761360 183352201700 220022642040 229190252125 275028302550 366704403400 440045284080 458380504250 550056605100 687570756375 733408806800 916761008500 1100113210200 1375141512750 1833522017000 2200226420400 2750283025500 3667044034000 5500566051000 11001132102000