Search a number
-
+
11331133120020 = 2235723250999789
BaseRepresentation
bin1010010011100011110000…
…1010100001111000010100
31111010020122011001001212210
42210320330022201320110
52441122130034320040
640033241203313420
72246435020232520
oct244707412417024
944106564031783
1011331133120020
11367956327606a
12133007167b870
136426a12c386c
142b2603402d80
15149b371bb480
hexa4e3c2a1e14

11331133120020 has 144 divisors (see below), whose sum is σ = 37904675921280. Its totient is φ = 2477365701888.

The previous prime is 11331133119989. The next prime is 11331133120031. The reversal of 11331133120020 is 2002133113311.

It is a happy number.

It is a super-2 number, since 2×113311331200202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 47 ways as a sum of consecutive naturals, for example, 25277715 + ... + 25722074.

It is an arithmetic number, because the mean of its divisors is an integer number (263226916120).

Almost surely, 211331133120020 is an apocalyptic number.

11331133120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11331133120020 is an abundant number, since it is smaller than the sum of its proper divisors (26573542801260).

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

11331133120020 is a wasteful number, since it uses less digits than its factorization.

11331133120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50999854 (or 50999829 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 11331133120020 its reverse (2002133113311), we get a palindrome (13333266233331).

The spelling of 11331133120020 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-three million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 28 30 35 42 46 60 69 70 84 92 105 115 138 140 161 210 230 276 322 345 420 460 483 529 644 690 805 966 1058 1380 1587 1610 1932 2116 2415 2645 3174 3220 3703 4830 5290 6348 7406 7935 9660 10580 11109 14812 15870 18515 22218 31740 37030 44436 55545 74060 111090 222180 50999789 101999578 152999367 203999156 254998945 305998734 356998523 509997890 611997468 713997046 764996835 1019995780 1070995569 1172995147 1427994092 1529993670 1784992615 2141991138 2345990294 3059987340 3518985441 3569985230 4283982276 4691980588 5354977845 5864975735 7037970882 7139970460 8210966029 10709955690 11729951470 14075941764 16421932058 17594927205 21419911380 23459902940 24632898087 26978888381 32843864116 35189854410 41054830145 49265796174 53957776762 70379708820 80936665143 82109660290 98531592348 107915553524 123164490435 134894441905 161873330286 164219320580 188852218667 246328980870 269788883810 323746660572 377704437334 404683325715 492657961740 539577767620 566556656001 755408874668 809366651430 944261093335 1133113312002 1618733302860 1888522186670 2266226624004 2832783280005 3777044373340 5665566560010 11331133120020