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11034140130 = 23251324316871
BaseRepresentation
bin10100100011010111…
…11001110111100010
31001110222200101200200
422101223321313202
5140044214441010
65022523530030
7540302433516
oct122153716742
931428611620
1011034140130
114752536882
12217b389916
13106b01bc00
1476963a146
15448a84cc0
hex291af9de2

11034140130 has 144 divisors (see below), whose sum is σ = 31789682496. Its totient is φ = 2652773760.

The previous prime is 11034140113. The next prime is 11034140137. The reversal of 11034140130 is 3104143011.

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

It is not an unprimeable number, because it can be changed into a prime (11034140137) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 645595 + ... + 662465.

It is an arithmetic number, because the mean of its divisors is an integer number (220761684).

Almost surely, 211034140130 is an apocalyptic number.

11034140130 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 11034140130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15894841248).

11034140130 is an abundant number, since it is smaller than the sum of its proper divisors (20755542366).

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

11034140130 is a wasteful number, since it uses less digits than its factorization.

11034140130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16953 (or 16937 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11034140130 its reverse (3104143011), we get a palindrome (14138283141).

The spelling of 11034140130 in words is "eleven billion, thirty-four million, one hundred forty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 43 45 65 78 86 90 117 129 130 169 195 215 234 258 338 387 390 430 507 559 585 645 774 845 1014 1118 1170 1290 1521 1677 1690 1935 2535 2795 3042 3354 3870 5031 5070 5590 7267 7605 8385 10062 14534 15210 16770 16871 21801 25155 33742 36335 43602 50310 50613 65403 72670 84355 101226 109005 130806 151839 168710 218010 219323 253065 303678 327015 438646 506130 654030 657969 725453 759195 1096615 1315938 1450906 1518390 1973907 2176359 2193230 2851199 3289845 3627265 3947814 4352718 5702398 6529077 6579690 7254530 8553597 9430889 9869535 10881795 13058154 14255995 17107194 18861778 19739070 21763590 25660791 28292667 28511990 32645385 42767985 47154445 51321582 56585334 65290770 84878001 85535970 94308890 122601557 128303955 141463335 169756002 245203114 256607910 282926670 367804671 424390005 613007785 735609342 848780010 1103414013 1226015570 1839023355 2206828026 3678046710 5517070065 11034140130