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1131211002000 = 24353421447827
BaseRepresentation
bin10000011101100001011…
…011100001000010010000
311000010212001001221112210
4100131201123201002100
5122013210004031000
62223400545352120
7144504314603322
oct20354133410220
94003761057483
101131211002000
113a6820135822
121632a0338640
13828990174b1
143ca726a7612
151e65aa8a350
hex107616e1090

1131211002000 has 160 divisors (see below), whose sum is σ = 3655695199104. Its totient is φ = 300939072000.

The previous prime is 1131211001969. The next prime is 1131211002001. The reversal of 1131211002000 is 2001121311.

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

It is not an unprimeable number, because it can be changed into a prime (1131211002001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2302087 + ... + 2749913.

Almost surely, 21131211002000 is an apocalyptic number.

1131211002000 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 1131211002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1827847599552).

1131211002000 is an abundant number, since it is smaller than the sum of its proper divisors (2524484197104).

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

1131211002000 is a wasteful number, since it uses less digits than its factorization.

1131211002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448274 (or 448258 counting only the distinct ones).

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

Adding to 1131211002000 its reverse (2001121311), we get a palindrome (1133212123311).

The spelling of 1131211002000 in words is "one trillion, one hundred thirty-one billion, two hundred eleven million, two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 421 500 600 750 842 1000 1200 1263 1500 1684 2000 2105 2526 3000 3368 4210 5052 6000 6315 6736 8420 10104 10525 12630 16840 20208 21050 25260 31575 33680 42100 50520 52625 63150 84200 101040 105250 126300 157875 168400 210500 252600 315750 421000 447827 505200 631500 842000 895654 1263000 1343481 1791308 2239135 2526000 2686962 3582616 4478270 5373924 6717405 7165232 8956540 10747848 11195675 13434810 17913080 21495696 22391350 26869620 33587025 35826160 44782700 53739240 55978375 67174050 89565400 107478480 111956750 134348100 167935125 179130800 188535167 223913500 268696200 335870250 377070334 447827000 537392400 565605501 671740500 754140668 895654000 942675835 1131211002 1343481000 1508281336 1885351670 2262422004 2686962000 2828027505 3016562672 3770703340 4524844008 4713379175 5656055010 7541406680 9049688016 9426758350 11312110020 14140137525 15082813360 18853516700 22624220040 23566895875 28280275050 37707033400 45248440080 47133791750 56560550100 70700687625 75414066800 94267583500 113121100200 141401375250 188535167000 226242200400 282802750500 377070334000 565605501000 1131211002000