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11340012024 = 23321179181243
BaseRepresentation
bin10101000111110101…
…01101100111111000
31002021022020022001100
422203322231213320
5141211020341044
65113131451400
7551005340355
oct124372554770
932238208040
1011340012024
11489a160970
1222458b6b60
1310b94c45b3
147980db62c
15465853869
hex2a3ead9f8

11340012024 has 96 divisors (see below), whose sum is σ = 33928876800. Its totient is φ = 3392850240.

The previous prime is 11340012017. The next prime is 11340012067. The reversal of 11340012024 is 42021004311.

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

It is a junction number, because it is equal to n+sod(n) for n = 11340011988 and 11340012006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28054 + ... + 153189.

It is an arithmetic number, because the mean of its divisors is an integer number (353425800).

Almost surely, 211340012024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11340012024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16964438400).

11340012024 is an abundant number, since it is smaller than the sum of its proper divisors (22588864776).

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

11340012024 is a wasteful number, since it uses less digits than its factorization.

11340012024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181345 (or 181338 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11340012024 its reverse (42021004311), we get a palindrome (53361016335).

The spelling of 11340012024 in words is "eleven billion, three hundred forty million, twelve thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 79 88 99 132 158 198 237 264 316 396 474 632 711 792 869 948 1422 1738 1896 2607 2844 3476 5214 5688 6952 7821 10428 15642 20856 31284 62568 181243 362486 543729 724972 1087458 1449944 1631187 1993673 2174916 3262374 3987346 4349832 5981019 6524748 7974692 11962038 13049496 14318197 15949384 17943057 23924076 28636394 35886114 42954591 47848152 57272788 71772228 85909182 114545576 128863773 143544456 157500167 171818364 257727546 315000334 343636728 472500501 515455092 630000668 945001002 1030910184 1260001336 1417501503 1890002004 2835003006 3780004008 5670006012 11340012024