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1121130120330 = 233511967390367
BaseRepresentation
bin10000010100001000100…
…100000000010010001010
310222011211111010002122000
4100110020210000102022
5121332033302322310
62215012353211430
7143666435533623
oct20241044002212
93864744102560
101121130120330
113a25177a8160
12161348260b76
138195064b55c
143c3978cca4a
151e26aa524c0
hex1050890048a

1121130120330 has 128 divisors (see below), whose sum is σ = 3264850575360. Its totient is φ = 271507360320.

The previous prime is 1121130120329. The next prime is 1121130120359. The reversal of 1121130120330 is 330210311211.

1121130120330 is a `hidden beast` number, since 1 + 1 + 2 + 11 + 301 + 20 + 330 = 666.

It is a super-2 number, since 2×11211301203302 (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2676807 + ... + 3067173.

It is an arithmetic number, because the mean of its divisors is an integer number (25506645120).

Almost surely, 21121130120330 is an apocalyptic number.

1121130120330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121130120330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632425287680).

1121130120330 is an abundant number, since it is smaller than the sum of its proper divisors (2143720455030).

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

1121130120330 is a wasteful number, since it uses less digits than its factorization.

1121130120330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391361 (or 391355 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1121130120330 its reverse (330210311211), we get a palindrome (1451340431541).

The spelling of 1121130120330 in words is "one trillion, one hundred twenty-one billion, one hundred thirty million, one hundred twenty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 967 990 1485 1934 2901 2970 4835 5802 8703 9670 10637 14505 17406 21274 26109 29010 31911 43515 52218 53185 63822 87030 95733 106370 130545 159555 191466 261090 287199 319110 390367 478665 574398 780734 957330 1171101 1435995 1951835 2342202 2871990 3513303 3903670 4294037 5855505 7026606 8588074 10539909 11711010 12882111 17566515 21079818 21470185 25764222 35133030 38646333 42940370 52699545 64410555 77292666 105399090 115938999 128821110 193231665 231877998 377484889 386463330 579694995 754969778 1132454667 1159389990 1887424445 2264909334 3397364001 3774848890 4152333779 5662273335 6794728002 8304667558 10192092003 11324546670 12457001337 16986820005 20384184006 20761668895 24914002674 33973640010 37371004011 41523337790 50960460015 62285006685 74742008022 101920920030 112113012033 124570013370 186855020055 224226024066 373710040110 560565060165 1121130120330