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11120404344 = 23371711093511
BaseRepresentation
bin10100101101101001…
…11110011101111000
31001201000000001221120
422112310332131320
5140233310414334
65035244505240
7542400606630
oct122664763570
931630001846
1011120404344
1147971a6415
1221a424b220
131082b6361a
14776c936c0
15451424949
hex296d3e778

11120404344 has 128 divisors (see below), whose sum is σ = 33681484800. Its totient is φ = 2986813440.

The previous prime is 11120404247. The next prime is 11120404349. The reversal of 11120404344 is 44340402111.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11120404349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3165549 + ... + 3169059.

It is an arithmetic number, because the mean of its divisors is an integer number (263136600).

Almost surely, 211120404344 is an apocalyptic number.

11120404344 is a gapful number since it is divisible by the number (14) 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 11120404344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16840742400).

11120404344 is an abundant number, since it is smaller than the sum of its proper divisors (22561080456).

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

11120404344 is a wasteful number, since it uses less digits than its factorization.

11120404344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4653 (or 4649 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 11120404344 its reverse (44340402111), we get a palindrome (55460806455).

The spelling of 11120404344 in words is "eleven billion, one hundred twenty million, four hundred four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 476 714 952 1109 1428 2218 2856 3327 3511 4436 6654 7022 7763 8872 10533 13308 14044 15526 18853 21066 23289 24577 26616 28088 31052 37706 42132 46578 49154 56559 59687 62104 73731 75412 84264 93156 98308 113118 119374 131971 147462 150824 179061 186312 196616 226236 238748 263942 294924 358122 395913 417809 452472 477496 527884 589848 716244 791826 835618 1055768 1253427 1432488 1583652 1671236 2506854 3167304 3342472 3893699 5013708 7787398 10027416 11681097 15574796 23362194 27255893 31149592 46724388 54511786 66192883 81767679 93448776 109023572 132385766 163535358 198578649 218047144 264771532 327070716 397157298 463350181 529543064 654141432 794314596 926700362 1390050543 1588629192 1853400724 2780101086 3706801448 5560202172 11120404344