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33220001130 = 2354127199661
BaseRepresentation
bin11110111100000100…
…001111110101101010
310011202011021220112020
4132330010033311222
51021013310014010
623132215525310
72254136231151
oct367404176552
9104664256466
1033220001130
11130a7908598
126531389836
133195517704
141871d5c598
15ce6678470
hex7bc10fd6a

33220001130 has 64 divisors (see below), whose sum is σ = 81974785536. Its totient is φ = 8610624000.

The previous prime is 33220001119. The next prime is 33220001131. The reversal of 33220001130 is 3110002233.

It is a super-2 number, since 2×332200011302 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (33220001131) 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, 283500 + ... + 383160.

It is an arithmetic number, because the mean of its divisors is an integer number (1280856024).

Almost surely, 233220001130 is an apocalyptic number.

33220001130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33220001130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40987392768).

33220001130 is an abundant number, since it is smaller than the sum of its proper divisors (48754784406).

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

33220001130 is a wasteful number, since it uses less digits than its factorization.

33220001130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99983.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 33220001130 its reverse (3110002233), we get a palindrome (36330003363).

The spelling of 33220001130 in words is "thirty-three billion, two hundred twenty million, one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 271 410 542 615 813 1230 1355 1626 2710 4065 8130 11111 22222 33333 55555 66666 99661 111110 166665 199322 298983 333330 498305 597966 996610 1494915 2989830 4086101 8172202 12258303 20430505 24516606 27008131 40861010 54016262 61291515 81024393 122583030 135040655 162048786 270081310 405121965 810243930 1107333371 2214666742 3322000113 5536666855 6644000226 11073333710 16610000565 33220001130