Search a number
-
+
11030322012000 = 25353919193501
BaseRepresentation
bin1010000010000011001001…
…1011001101111101100000
31110001111012002212111002220
42200200302123031331200
52421210044413341000
635243132053311040
72215625443060554
oct240406233157540
943044162774086
1011030322012000
113572a2a241365
1212a1900635480
136202024230a5
142a1c28683864
15141dcd6de1a0
hexa08326cdf60

11030322012000 has 96 divisors (see below), whose sum is σ = 36135334950624. Its totient is φ = 2941419200000.

The previous prime is 11030322011993. The next prime is 11030322012023. The reversal of 11030322012000 is 21022303011.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 459584751 + ... + 459608750.

It is an arithmetic number, because the mean of its divisors is an integer number (376409739069).

Almost surely, 211030322012000 is an apocalyptic number.

11030322012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11030322012000 is an abundant number, since it is smaller than the sum of its proper divisors (25105012938624).

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

11030322012000 is an equidigital number, since it uses as much as digits as its factorization.

11030322012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919193529 (or 919193511 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 11030322012000 its reverse (21022303011), we get a palindrome (11051344315011).

The spelling of 11030322012000 in words is "eleven trillion, thirty billion, three hundred twenty-two million, twelve thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 919193501 1838387002 2757580503 3676774004 4595967505 5515161006 7353548008 9191935010 11030322012 13787902515 14707096016 18383870020 22060644024 22979837525 27575805030 29414192032 36767740040 44121288048 45959675050 55151610060 68939512575 73535480080 88242576096 91919350100 110303220120 114899187625 137879025150 147070960160 183838700200 220606440240 229798375250 275758050300 344697562875 367677400400 441212880480 459596750500 551516100600 689395125750 735354800800 919193501000 1103032201200 1378790251500 1838387002000 2206064402400 2757580503000 3676774004000 5515161006000 11030322012000