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1101134320 = 2451113101953
BaseRepresentation
bin100000110100001…
…1111100111110000
32211201222102022121
41001220133213300
54223342244240
6301133044024
736200326066
oct10150374760
92751872277
101101134320
1151561a570
12268926614
1314718a090
14a6356036
1566a0c04a
hex41a1f9f0

1101134320 has 160 divisors (see below), whose sum is σ = 3040680384. Its totient is φ = 365568000.

The previous prime is 1101134317. The next prime is 1101134339. The reversal of 1101134320 is 234311011.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1101134294 and 1101134303.

It is a congruent number.

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, 1154964 + ... + 1155916.

Almost surely, 21101134320 is an apocalyptic number.

1101134320 is a gapful number since it is divisible by the number (10) 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 1101134320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520340192).

1101134320 is an abundant number, since it is smaller than the sum of its proper divisors (1939546064).

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

1101134320 is a wasteful number, since it uses less digits than its factorization.

1101134320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1101134320 is about 33183.3440147312. The cubic root of 1101134320 is about 1032.6348226446.

Adding to 1101134320 its reverse (234311011), we get a palindrome (1335445331).

The spelling of 1101134320 in words is "one billion, one hundred one million, one hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 101 104 110 130 143 176 202 208 220 260 286 404 440 505 520 572 715 808 880 953 1010 1040 1111 1144 1313 1430 1616 1906 2020 2222 2288 2626 2860 3812 4040 4444 4765 5252 5555 5720 6565 7624 8080 8888 9530 10483 10504 11110 11440 12389 13130 14443 15248 17776 19060 20966 21008 22220 24778 26260 28886 38120 41932 44440 49556 52415 52520 57772 61945 72215 76240 83864 88880 96253 99112 104830 105040 115544 123890 136279 144430 167728 192506 198224 209660 231088 247780 272558 288860 385012 419320 481265 495560 545116 577720 681395 770024 838640 962530 991120 1058783 1090232 1155440 1251289 1362790 1540048 1925060 2117566 2180464 2502578 2725580 3850120 4235132 5005156 5293915 5451160 6256445 7700240 8470264 10010312 10587830 10902320 12512890 13764179 16940528 20020624 21175660 25025780 27528358 42351320 50051560 55056716 68820895 84702640 100103120 110113432 137641790 220226864 275283580 550567160 1101134320