Search a number
-
+
1031050530000 = 24325411456117
BaseRepresentation
bin11110000000011110110…
…01101000110011010000
310122120022200110210002200
433000033121220303100
5113343042413430000
62105354051043200
7134330251621401
oct17001731506320
93576280423080
101031050530000
113682a2165737
121479a88a0500
13762c61b050a
1437c901d39a8
151bc47703500
hexf00f668cd0

1031050530000 has 150 divisors (see below), whose sum is σ = 3605732947674. Its totient is φ = 274946784000.

The previous prime is 1031050529981. The next prime is 1031050530007. The reversal of 1031050530000 is 350501301.

It is a happy number.

1031050530000 is a `hidden beast` number, since 1 + 0 + 310 + 50 + 5 + 300 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 672747724944 + 358302805056 = 820212^2 + 598584^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031050530007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5638059 + ... + 5818058.

Almost surely, 21031050530000 is an apocalyptic number.

1031050530000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1031050530000 is an abundant number, since it is smaller than the sum of its proper divisors (2574682417674).

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

1031050530000 is a wasteful number, since it uses less digits than its factorization.

1031050530000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11456151 (or 11456127 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The spelling of 1031050530000 in words is "one trillion, thirty-one billion, fifty million, five hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 15000 18000 22500 30000 45000 90000 11456117 22912234 34368351 45824468 57280585 68736702 91648936 103105053 114561170 137473404 171841755 183297872 206210106 229122340 274946808 286402925 343683510 412420212 458244680 515525265 549893616 572805850 687367020 824840424 859208775 916489360 1031050530 1145611700 1374734040 1432014625 1649680848 1718417550 2062101060 2291223400 2577626325 2749468080 2864029250 3436835100 4124202120 4296043875 4582446800 5155252650 5728058500 6873670200 7160073125 8248404240 8592087750 10310505300 11456117000 12888131625 13747340400 14320146250 17184175500 20621010600 21480219375 22912234000 25776263250 28640292500 34368351000 41242021200 42960438750 51552526500 57280585000 64440658125 68736702000 85920877500 103105053000 114561170000 128881316250 171841755000 206210106000 257762632500 343683510000 515525265000 1031050530000