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11102323344 = 2437295472083
BaseRepresentation
bin10100101011100000…
…00000001010010000
31001122201222110110220
422111300000022100
5140214143321334
65033401153040
7542061122430
oct122560001220
931581873426
1011102323344
114787a76942
12219a18b780
13107c1a27c8
147747082c0
1544ea52449
hex295c00290

11102323344 has 160 divisors (see below), whose sum is σ = 33986872320. Its totient is φ = 3055643136.

The previous prime is 11102323339. The next prime is 11102323367. The reversal of 11102323344 is 44332320111.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5328927 + ... + 5331009.

It is an arithmetic number, because the mean of its divisors is an integer number (212417952).

Almost surely, 211102323344 is an apocalyptic number.

11102323344 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 11102323344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16993436160).

11102323344 is an abundant number, since it is smaller than the sum of its proper divisors (22884548976).

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

11102323344 is a wasteful number, since it uses less digits than its factorization.

11102323344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2677 (or 2671 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 11102323344 its reverse (44332320111), we get a palindrome (55434643455).

The spelling of 11102323344 in words is "eleven billion, one hundred two million, three hundred twenty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 116 168 174 203 232 336 348 406 464 547 609 696 812 1094 1218 1392 1624 1641 2083 2188 2436 3248 3282 3829 4166 4376 4872 6249 6564 7658 8332 8752 9744 11487 12498 13128 14581 15316 15863 16664 22974 24996 26256 29162 30632 31726 33328 43743 45948 47589 49992 58324 60407 61264 63452 87486 91896 95178 99984 111041 116648 120814 126904 174972 181221 183792 190356 222082 233296 241628 253808 333123 349944 362442 380712 422849 444164 483256 666246 699888 724884 761424 845698 888328 966512 1139401 1268547 1332492 1449768 1691396 1776656 2278802 2537094 2664984 2899536 3382792 3418203 4557604 5074188 5329968 6765584 6836406 7975807 9115208 10148376 13672812 15951614 18230416 20296752 23927421 27345624 31903228 33042629 47854842 54691248 63806456 66085258 95709684 99127887 127612912 132170516 191419368 198255774 231298403 264341032 382838736 396511548 462596806 528682064 693895209 793023096 925193612 1387790418 1586046192 1850387224 2775580836 3700774448 5551161672 11102323344