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11022030096 = 2437115356267
BaseRepresentation
bin10100100001111011…
…01101010100010000
31001110010220010211220
422100331231110100
5140033114430341
65021412205040
7540064465350
oct122075552420
931403803756
1011022030096
114746715390
122177309780
13106866bacc
14767ba6b60
15447991a66
hex290f6d510

11022030096 has 160 divisors (see below), whose sum is σ = 36169970688. Its totient is φ = 2808798720.

The previous prime is 11022030023. The next prime is 11022030101. The reversal of 11022030096 is 69003022011.

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, 167755 + ... + 224021.

Almost surely, 211022030096 is an apocalyptic number.

11022030096 is a gapful number since it is divisible by the number (16) 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 11022030096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18084985344).

11022030096 is an abundant number, since it is smaller than the sum of its proper divisors (25147940592).

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

11022030096 is a wasteful number, since it uses less digits than its factorization.

11022030096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56349 (or 56343 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The spelling of 11022030096 in words is "eleven billion, twenty-two million, thirty thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 53 56 66 77 84 88 106 112 132 154 159 168 176 212 231 264 308 318 336 371 424 462 528 583 616 636 742 848 924 1113 1166 1232 1272 1484 1749 1848 2226 2332 2544 2968 3498 3696 4081 4452 4664 5936 6996 8162 8904 9328 12243 13992 16324 17808 24486 27984 32648 48972 56267 65296 97944 112534 168801 195888 225068 337602 393869 450136 618937 675204 787738 900272 1181607 1237874 1350408 1575476 1856811 2363214 2475748 2700816 2982151 3150952 3713622 4332559 4726428 4951496 5964302 6301904 7427244 8665118 8946453 9452856 9902992 11928604 12997677 14854488 17330236 17892906 18905712 20875057 23857208 25995354 29708976 32803661 34660472 35785812 41750114 47714416 51990708 62625171 65607322 69320944 71571624 83500228 98410983 103981416 125250342 131214644 143143248 167000456 196821966 207962832 229625627 250500684 262429288 334000912 393643932 459251254 501001368 524858576 688876881 787287864 918502508 1002002736 1377753762 1574575728 1837005016 2755507524 3674010032 5511015048 11022030096