Search a number
-
+
1103300034210 = 2335113323111791
BaseRepresentation
bin10000000011100001110…
…011100111111010100010
310220110210212122212122000
4100003201303213322202
5121034024302043320
62202503220424430
7142465542361353
oct20034163477242
93813725585560
101103300034210
113959a81195a0
121599b0b48116
138006b6a003a
143b585891d2a
151da7555dc90
hex100e1ce7ea2

1103300034210 has 128 divisors (see below), whose sum is σ = 3210594693120. Its totient is φ = 267383793600.

The previous prime is 1103300034209. The next prime is 1103300034223. The reversal of 1103300034210 is 124300033011.

1103300034210 is a `hidden beast` number, since 1 + 10 + 3 + 300 + 0 + 342 + 10 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9813415 + ... + 9925205.

It is an arithmetic number, because the mean of its divisors is an integer number (25082771040).

Almost surely, 21103300034210 is an apocalyptic number.

1103300034210 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 1103300034210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605297346560).

1103300034210 is an abundant number, since it is smaller than the sum of its proper divisors (2107294658910).

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

1103300034210 is a wasteful number, since it uses less digits than its factorization.

1103300034210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115141 (or 115135 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1103300034210 its reverse (124300033011), we get a palindrome (1227600067221).

The spelling of 1103300034210 in words is "one trillion, one hundred three billion, three hundred million, thirty-four thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 2970 3323 6646 9969 16615 19938 29907 33230 36553 49845 59814 73106 89721 99690 109659 111791 149535 179442 182765 219318 223582 299070 328977 335373 365530 448605 548295 558955 657954 670746 897210 986931 1006119 1096590 1117910 1229701 1644885 1676865 1973862 2012238 2459402 3018357 3289770 3353730 3689103 4934655 5030595 6036714 6148505 7378206 9869310 10061190 11067309 12297010 15091785 18445515 22134618 30183570 33201927 36891030 55336545 66403854 110673090 166009635 332019270 371481493 742962986 1114444479 1857407465 2228888958 3343333437 3714814930 4086296423 5572222395 6686666874 8172592846 10030000311 11144444790 12258889269 16716667185 20060000622 20431482115 24517778538 33433334370 36776667807 40862964230 50150001555 61294446345 73553335614 100300003110 110330003421 122588892690 183883339035 220660006842 367766678070 551650017105 1103300034210