Search a number
-
+
1034323343010 = 2325412719103091
BaseRepresentation
bin11110000110100100111…
…10011011011010100010
310122212202202211220112100
433003102132123122202
5113421243233434020
62111054522511230
7134504332232316
oct17032236333242
93585682756470
101034323343010
11369721620581
12148560965516
13766c8264069
14380c0b33b46
151bd89bd5a90
hexf0d279b6a2

1034323343010 has 96 divisors (see below), whose sum is σ = 2755871838720. Its totient is φ = 268990675200.

The previous prime is 1034323342981. The next prime is 1034323343029. The reversal of 1034323343010 is 103433234301.

1034323343010 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 323 + 34 + 301 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9981565 + ... + 10084655.

It is an arithmetic number, because the mean of its divisors is an integer number (28706998320).

Almost surely, 21034323343010 is an apocalyptic number.

1034323343010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1034323343010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377935919360).

1034323343010 is an abundant number, since it is smaller than the sum of its proper divisors (1721548495710).

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

1034323343010 is a wasteful number, since it uses less digits than its factorization.

1034323343010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105864 (or 105861 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 1034323343010 its reverse (103433234301), we get a palindrome (1137756577311).

The spelling of 1034323343010 in words is "one trillion, thirty-four billion, three hundred twenty-three million, three hundred forty-three thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 369 410 615 738 1230 1845 2719 3690 5438 8157 13595 16314 24471 27190 40785 48942 81570 103091 111479 122355 206182 222958 244710 309273 334437 515455 557395 618546 668874 927819 1003311 1030910 1114790 1546365 1672185 1855638 2006622 3092730 3344370 4226731 4639095 5016555 8453462 9278190 10033110 12680193 21133655 25360386 38040579 42267310 63400965 76081158 126801930 190202895 280304429 380405790 560608858 840913287 1401522145 1681826574 2522739861 2803044290 4204566435 5045479722 8409132870 11492481589 12613699305 22984963178 25227398610 34477444767 57462407945 68954889534 103432334301 114924815890 172387223835 206864668602 344774447670 517161671505 1034323343010