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1050042212000 = 2553317828109
BaseRepresentation
bin11110100011110110110…
…01001001111010100000
310201101100020200012002022
433101323121021322200
5114200441301241000
62122214400441012
7135602011351565
oct17217331117240
93641306605068
101050042212000
113753584aa4a1
1214b609019168
13780319c7b82
1438b7260486c
151c4a9b98585
hexf47b649ea0

1050042212000 has 96 divisors (see below), whose sum is σ = 2588095495440. Its totient is φ = 418691404800.

The previous prime is 1050042211987. The next prime is 1050042212017. The reversal of 1050042212000 is 2122400501.

It can be written as a sum of positive squares in 8 ways, for example, as 89336427664 + 960705784336 = 298892^2 + 980156^2 .

It is a super-2 number, since 2×10500422120002 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1050042212000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 853946 + ... + 1682054.

Almost surely, 21050042212000 is an apocalyptic number.

1050042212000 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 1050042212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294047747720).

1050042212000 is an abundant number, since it is smaller than the sum of its proper divisors (1538053283440).

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

1050042212000 is an equidigital number, since it uses as much as digits as its factorization.

1050042212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828451 (or 828433 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

Adding to 1050042212000 its reverse (2122400501), we get a palindrome (1052164612501).

The spelling of 1050042212000 in words is "one trillion, fifty billion, forty-two million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 317 400 500 634 800 1000 1268 1585 2000 2536 3170 4000 5072 6340 7925 10144 12680 15850 25360 31700 39625 50720 63400 79250 126800 158500 253600 317000 634000 828109 1268000 1656218 3312436 4140545 6624872 8281090 13249744 16562180 20702725 26499488 33124360 41405450 66248720 82810900 103513625 132497440 165621800 207027250 262510553 331243600 414054500 525021106 662487200 828109000 1050042212 1312552765 1656218000 2100084424 2625105530 3312436000 4200168848 5250211060 6562763825 8400337696 10500422120 13125527650 21000844240 26251055300 32813819125 42001688480 52502110600 65627638250 105004221200 131255276500 210008442400 262510553000 525021106000 1050042212000