Search a number
-
+
1033032100000 = 255510330321
BaseRepresentation
bin11110000100001011000…
…00101110100010100000
310122202102210010222010011
433002011200232202200
5113411122204200000
62110322435014304
7134430332653405
oct17020540564240
93582383128104
101033032100000
1136911976459a
1214826043a394
13765508a3c44
1437ddb4522ac
151bd116752ba
hexf08582e8a0

1033032100000 has 72 divisors (see below), whose sum is σ = 2542064977116. Its totient is φ = 413212800000.

The previous prime is 1033032099997. The next prime is 1033032100003. The reversal of 1033032100000 is 12303301.

It is an interprime number because it is at equal distance from previous prime (1033032099997) and next prime (1033032100003).

It can be written as a sum of positive squares in 6 ways, for example, as 88178114704 + 944853985296 = 296948^2 + 972036^2 .

It is not an unprimeable number, because it can be changed into a prime (1033032100003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5065161 + ... + 5265160.

Almost surely, 21033032100000 is an apocalyptic number.

1033032100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1033032100000 is an abundant number, since it is smaller than the sum of its proper divisors (1509032877116).

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

1033032100000 is an frugal number, since it uses more digits than its factorization.

1033032100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10330356 (or 10330328 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 1033032100000 its reverse (12303301), we get a palindrome (1033044403301).

The spelling of 1033032100000 in words is "one trillion, thirty-three billion, thirty-two million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 25000 50000 100000 10330321 20660642 41321284 51651605 82642568 103303210 165285136 206606420 258258025 330570272 413212840 516516050 826425680 1033032100 1291290125 1652851360 2066064200 2582580250 4132128400 5165160500 6456450625 8264256800 10330321000 12912901250 20660642000 25825802500 32282253125 41321284000 51651605000 64564506250 103303210000 129129012500 206606420000 258258025000 516516050000 1033032100000