Search a number
-
+
1034105332410 = 232511490059249
BaseRepresentation
bin11110000110001010111…
…10110010001010111010
310122212012120121211012200
433003011132302022322
5113420321431114120
62111021134051030
7134466044203023
oct17030536621272
93585176554180
101034105332410
1136961a556a27
121484bb949a76
1376692041cc7
143809dbc3c4a
151bd759bee90
hexf0c57b22ba

1034105332410 has 24 divisors (see below), whose sum is σ = 2688673864500. Its totient is φ = 275761421952.

The previous prime is 1034105332409. The next prime is 1034105332411. The reversal of 1034105332410 is 142335014301.

It is a happy number.

1034105332410 is a `hidden beast` number, since 1 + 0 + 3 + 410 + 5 + 3 + 3 + 241 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1034105332409) and next prime (1034105332411).

It can be written as a sum of positive squares in 2 ways, for example, as 836198684721 + 197906647689 = 914439^2 + 444867^2 .

It is not an unprimeable number, because it can be changed into a prime (1034105332411) 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, 5745029535 + ... + 5745029714.

Almost surely, 21034105332410 is an apocalyptic number.

1034105332410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1034105332410 is an abundant number, since it is smaller than the sum of its proper divisors (1654568532090).

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

1034105332410 is a wasteful number, since it uses less digits than its factorization.

1034105332410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11490059262 (or 11490059259 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 1034105332410 in words is "one trillion, thirty-four billion, one hundred five million, three hundred thirty-two thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 11490059249 22980118498 34470177747 57450296245 68940355494 103410533241 114900592490 172350888735 206821066482 344701777470 517052666205 1034105332410