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11022012021000 = 2335311173289171
BaseRepresentation
bin1010000001100100001100…
…0111000111100100001000
31110000200201222011012111110
42200121003013013210020
52421041040034133000
635235235321330320
72215212506236551
oct240310307074410
943020658135443
1011022012021000
11356a455496102
1212a01816369a0
1361c4a98c4756
142a167ab65328
15141a93dae850
hexa06431c7908

11022012021000 has 128 divisors (see below), whose sum is σ = 34419474610560. Its totient is φ = 2936570976000.

The previous prime is 11022012020969. The next prime is 11022012021079. The reversal of 11022012021000 is 12021022011.

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

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, 1706415 + ... + 4995585.

It is an arithmetic number, because the mean of its divisors is an integer number (268902145395).

Almost surely, 211022012021000 is an apocalyptic number.

11022012021000 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 11022012021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17209737305280).

11022012021000 is an abundant number, since it is smaller than the sum of its proper divisors (23397462589560).

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

11022012021000 is a wasteful number, since it uses less digits than its factorization.

11022012021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3290312 (or 3290298 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11022012021000 its reverse (12021022011), we get a palindrome (11034033043011).

The spelling of 11022012021000 in words is "eleven trillion, twenty-two billion, twelve million, twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1117 1500 2234 3000 3351 4468 5585 6702 8936 11170 13404 16755 22340 26808 27925 33510 44680 55850 67020 83775 111700 134040 139625 167550 223400 279250 335100 418875 558500 670200 837750 1117000 1675500 3289171 3351000 6578342 9867513 13156684 16445855 19735026 26313368 32891710 39470052 49337565 65783420 78940104 82229275 98675130 131566840 164458550 197350260 246687825 328917100 394700520 411146375 493375650 657834200 822292750 986751300 1233439125 1644585500 1973502600 2466878250 3289171000 3674004007 4933756500 7348008014 9867513000 11022012021 14696016028 18370020035 22044024042 29392032056 36740040070 44088048084 55110060105 73480080140 88176096168 91850100175 110220120210 146960160280 183700200350 220440240420 275550300525 367400400700 440880480840 459250500875 551100601050 734800801400 918501001750 1102201202100 1377751502625 1837002003500 2204402404200 2755503005250 3674004007000 5511006010500 11022012021000