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1131434120000 = 265439771249
BaseRepresentation
bin10000011101101110101…
…110101001001101000000
311000011102120220111220102
4100131232232221031000
5122014134113320000
62223435035501532
7144512664224162
oct20355656511500
94004376814812
101131434120000
113a6925078668
12163342bb78a8
1382903307192
143ca94186932
151e67045e3d5
hex1076eba9340

1131434120000 has 140 divisors (see below), whose sum is σ = 2812695352500. Its totient is φ = 451427328000.

The previous prime is 1131434119997. The next prime is 1131434120023. The reversal of 1131434120000 is 214341311.

It can be written as a sum of positive squares in 10 ways, for example, as 480559514176 + 650874605824 = 693224^2 + 806768^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 19 ways as a sum of consecutive naturals, for example, 15844376 + ... + 15915624.

Almost surely, 21131434120000 is an apocalyptic number.

1131434120000 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 1131434120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406347676250).

1131434120000 is an abundant number, since it is smaller than the sum of its proper divisors (1681261232500).

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

1131434120000 is an frugal number, since it uses more digits than its factorization.

1131434120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71678 (or 71653 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1131434120000 its reverse (214341311), we get a palindrome (1131648461311).

The spelling of 1131434120000 in words is "one trillion, one hundred thirty-one billion, four hundred thirty-four million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 397 400 500 625 794 800 1000 1250 1588 1600 1985 2000 2500 3176 3970 4000 5000 6352 7940 8000 9925 10000 12704 15880 19850 20000 25408 31760 39700 40000 49625 63520 71249 79400 99250 127040 142498 158800 198500 248125 284996 317600 356245 397000 496250 569992 635200 712490 794000 992500 1139984 1424980 1588000 1781225 1985000 2279968 2849960 3176000 3562450 3970000 4559936 5699920 7124900 7940000 8906125 11399840 14249800 15880000 17812250 22799680 28285853 28499600 35624500 44530625 56571706 56999200 71249000 89061250 113143412 113998400 141429265 142498000 178122500 226286824 282858530 284996000 356245000 452573648 565717060 569992000 707146325 712490000 905147296 1131434120 1414292650 1424980000 1810294592 2262868240 2828585300 2849960000 3535731625 4525736480 5657170600 7071463250 9051472960 11314341200 14142926500 17678658125 22628682400 28285853000 35357316250 45257364800 56571706000 70714632500 113143412000 141429265000 226286824000 282858530000 565717060000 1131434120000