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11034030120 = 2335232173819
BaseRepresentation
bin10100100011010110…
…11111000000101000
31001110222110210210020
422101223133000220
5140044202430440
65022521320440
7540301465011
oct122153370050
931428423706
1011034030120
114752471163
12217b336120
13106acb0b09
1476960c008
15448a623d0
hex291adf028

11034030120 has 96 divisors (see below), whose sum is σ = 34604085600. Its totient is φ = 2814461056.

The previous prime is 11034030107. The next prime is 11034030127. The reversal of 11034030120 is 2103043011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11034030120.

It is not an unprimeable number, because it can be changed into a prime (11034030127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23430 + ... + 150389.

It is an arithmetic number, because the mean of its divisors is an integer number (360459225).

Almost surely, 211034030120 is an apocalyptic number.

11034030120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11034030120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17302042800).

11034030120 is an abundant number, since it is smaller than the sum of its proper divisors (23570055480).

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

11034030120 is a wasteful number, since it uses less digits than its factorization.

11034030120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173879 (or 173852 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 11034030120 its reverse (2103043011), we get a palindrome (13137073131).

The spelling of 11034030120 in words is "eleven billion, thirty-four million, thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 529 552 690 920 1058 1380 1587 2116 2645 2760 3174 4232 5290 6348 7935 10580 12696 15870 21160 31740 63480 173819 347638 521457 695276 869095 1042914 1390552 1738190 2085828 2607285 3476380 3997837 4171656 5214570 6952760 7995674 10429140 11993511 15991348 19989185 20858280 23987022 31982696 39978370 47974044 59967555 79956740 91950251 95948088 119935110 159913480 183900502 239870220 275850753 367801004 459751255 479740440 551701506 735602008 919502510 1103403012 1379253765 1839005020 2206806024 2758507530 3678010040 5517015060 11034030120