Search a number
-
+
1121200133000 = 235317487135427
BaseRepresentation
bin10000010100001100101…
…111000101001110001000
310222012000100212002221212
4100110030233011032020
5121332204213224000
62215023333552252
7144001245612323
oct20241457051610
93865010762855
101121200133000
113a2553277772
121613677a5688
1381961cc2a7c
143c3a2d157ba
151e271c81c35
hex1050cbc5388

1121200133000 has 128 divisors (see below), whose sum is σ = 2783662951680. Its totient is φ = 421229030400.

The previous prime is 1121200132961. The next prime is 1121200133041. The reversal of 1121200133000 is 3310021211.

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, 8211287 + ... + 8346713.

It is an arithmetic number, because the mean of its divisors is an integer number (21747366810).

Almost surely, 21121200133000 is an apocalyptic number.

1121200133000 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 1121200133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391831475840).

1121200133000 is an abundant number, since it is smaller than the sum of its proper divisors (1662462818680).

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

1121200133000 is a wasteful number, since it uses less digits than its factorization.

1121200133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135952 (or 135938 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1121200133000 its reverse (3310021211), we get a palindrome (1124510154211).

The spelling of 1121200133000 in words is "one trillion, one hundred twenty-one billion, two hundred million, one hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 487 500 680 850 974 1000 1700 1948 2125 2435 3400 3896 4250 4870 8279 8500 9740 12175 16558 17000 19480 24350 33116 41395 48700 60875 66232 82790 97400 121750 135427 165580 206975 243500 270854 331160 413950 487000 541708 677135 827900 1034875 1083416 1354270 1655800 2069750 2302259 2708540 3385675 4139500 4604518 5417080 6771350 8279000 9209036 11511295 13542700 16928375 18418072 23022590 27085400 33856750 46045180 57556475 65952949 67713500 92090360 115112950 131905898 135427000 230225900 263811796 287782375 329764745 460451800 527623592 575564750 659529490 1121200133 1151129500 1319058980 1648823725 2242400266 2302259000 2638117960 3297647450 4484800532 5606000665 6595294900 8244118625 8969601064 11212001330 13190589800 16488237250 22424002660 28030003325 32976474500 44848005320 56060006650 65952949000 112120013300 140150016625 224240026600 280300033250 560600066500 1121200133000