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11221069104 = 243373899539
BaseRepresentation
bin10100111001101001…
…11110110100110000
31001222000102101001000
422130310332310300
5140440043202404
65053242242000
7545032341120
oct123464766460
931860371030
1011221069104
114839001333
122211ab6300
13109a97a87b
147863b8c80
1545a1ab339
hex29cd3ed30

11221069104 has 160 divisors (see below), whose sum is σ = 36908352000. Its totient is φ = 3197442816.

The previous prime is 11221069103. The next prime is 11221069109. The reversal of 11221069104 is 40196012211.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11221069103) 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, 1171567 + ... + 1181105.

It is an arithmetic number, because the mean of its divisors is an integer number (230677200).

Almost surely, 211221069104 is an apocalyptic number.

11221069104 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 11221069104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18454176000).

11221069104 is an abundant number, since it is smaller than the sum of its proper divisors (25687282896).

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

11221069104 is a wasteful number, since it uses less digits than its factorization.

11221069104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9952 (or 9940 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 11221069104 in words is "eleven billion, two hundred twenty-one million, sixty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 389 432 504 756 778 1008 1167 1512 1556 2334 2723 3024 3112 3501 4668 5446 6224 7002 8169 9336 9539 10503 10892 14004 16338 18672 19078 21006 21784 24507 28008 28617 32676 38156 42012 43568 49014 56016 57234 65352 66773 73521 76312 84024 85851 98028 114468 130704 133546 147042 152624 168048 171702 196056 200319 228936 257553 267092 294084 343404 392112 400638 457872 515106 534184 588168 600957 686808 801276 1030212 1068368 1176336 1201914 1373616 1602552 1802871 2060424 2403828 3205104 3605742 3710671 4120848 4807656 7211484 7421342 9615312 11132013 14422968 14842684 22264026 25974697 28845936 29685368 33396039 44528052 51949394 59370736 66792078 77924091 89056104 100188117 103898788 133584156 155848182 178112208 200376234 207797576 233772273 267168312 311696364 400752468 415595152 467544546 534336624 623392728 701316819 801504936 935089092 1246785456 1402633638 1603009872 1870178184 2805267276 3740356368 5610534552 11221069104