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1034212031120 = 245127571013377
BaseRepresentation
bin11110000110010111101…
…01110011101010010000
310122212111000101200022202
433003023311303222100
5113421031234443440
62111035505022332
7134501511135002
oct17031365635220
93585430350282
101034212031120
11369674803284
1214852b6249a8
13766ab18c838
14380b003a372
151bd80049615
hexf0cbd73a90

1034212031120 has 40 divisors (see below), whose sum is σ = 2404733833464. Its totient is φ = 413651976192.

The previous prime is 1034212031101. The next prime is 1034212031131. The reversal of 1034212031120 is 211302124301.

It can be written as a sum of positive squares in 4 ways, for example, as 360052801936 + 674159229184 = 600044^2 + 821072^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a junction number, because it is equal to n+sod(n) for n = 1034212031092 and 1034212031101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 513872 + ... + 1527248.

Almost surely, 21034212031120 is an apocalyptic number.

1034212031120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1034212031120 is an abundant number, since it is smaller than the sum of its proper divisors (1370521802344).

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

1034212031120 is a wasteful number, since it uses less digits than its factorization.

1034212031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026147 (or 1026141 counting only the distinct ones).

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

Adding to 1034212031120 its reverse (211302124301), we get a palindrome (1245514155421).

The spelling of 1034212031120 in words is "one trillion, thirty-four billion, two hundred twelve million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 12757 25514 51028 63785 102056 127570 204112 255140 510280 1013377 1020560 2026754 4053508 5066885 8107016 10133770 16214032 20267540 40535080 81070160 12927650389 25855300778 51710601556 64638251945 103421203112 129276503890 206842406224 258553007780 517106015560 1034212031120