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11303033220 = 2235510123027
BaseRepresentation
bin10101000011011011…
…01001100110000100
31002011201122120200000
422201231221212010
5141122034030340
65105331121300
7550046124423
oct124155514604
932151576600
1011303033220
1148802a4176
122235443230
1310b1947c4b
147932332ba
1546249bd30
hex2a1b69984

11303033220 has 144 divisors (see below), whose sum is σ = 35909310528. Its totient is φ = 2984169600.

The previous prime is 11303033179. The next prime is 11303033233. The reversal of 11303033220 is 2233030311.

11303033220 is a `hidden beast` number, since 11 + 30 + 303 + 322 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11303033193 and 11303033202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 479347 + ... + 502373.

It is an arithmetic number, because the mean of its divisors is an integer number (249370212).

Almost surely, 211303033220 is an apocalyptic number.

11303033220 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 11303033220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17954655264).

11303033220 is an abundant number, since it is smaller than the sum of its proper divisors (24606277308).

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

11303033220 is a wasteful number, since it uses less digits than its factorization.

11303033220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23152 (or 23138 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 11303033220 its reverse (2233030311), we get a palindrome (13536063531).

The spelling of 11303033220 in words is "eleven billion, three hundred three million, thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 101 108 135 162 180 202 243 270 303 324 404 405 486 505 540 606 810 909 972 1010 1212 1215 1515 1620 1818 2020 2430 2727 3030 3636 4545 4860 5454 6060 8181 9090 10908 13635 16362 18180 23027 24543 27270 32724 40905 46054 49086 54540 69081 81810 92108 98172 115135 122715 138162 163620 207243 230270 245430 276324 345405 414486 460540 490860 621729 690810 828972 1036215 1243458 1381620 1865187 2072430 2325727 2486916 3108645 3730374 4144860 4651454 5595561 6217290 6977181 7460748 9302908 9325935 11191122 11628635 12434580 13954362 18651870 20931543 22382244 23257270 27908724 27977805 34885905 37303740 41863086 46514540 55955610 62794629 69771810 83726172 104657715 111911220 125589258 139543620 188383887 209315430 251178516 313973145 376767774 418630860 565151661 627946290 753535548 941919435 1130303322 1255892580 1883838870 2260606644 2825758305 3767677740 5651516610 11303033220