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33220120020 = 22352930762189
BaseRepresentation
bin11110111100000100…
…101100110111010100
310011202011111221121120
4132330010230313110
51021013322320040
623132222243540
72254140234603
oct367404546724
9104664457546
1033220120020
11130a798994a
1265314265b0
133195559869
141871d8da3a
15ce669d7d0
hex7bc12cdd4

33220120020 has 96 divisors (see below), whose sum is σ = 96538780800. Its totient is φ = 8525228544.

The previous prime is 33220119967. The next prime is 33220120039. The reversal of 33220120020 is 2002102233.

It is a super-2 number, since 2×332201200202 (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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 503086 + ... + 565274.

It is an arithmetic number, because the mean of its divisors is an integer number (1005612300).

Almost surely, 233220120020 is an apocalyptic number.

33220120020 is a gapful number since it is divisible by the number (30) 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 33220120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48269390400).

33220120020 is an abundant number, since it is smaller than the sum of its proper divisors (63318660780).

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

33220120020 is a wasteful number, since it uses less digits than its factorization.

33220120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62537 (or 62535 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 33220120020 its reverse (2002102233), we get a palindrome (35222222253).

The spelling of 33220120020 in words is "thirty-three billion, two hundred twenty million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 307 348 435 580 614 870 921 1228 1535 1740 1842 3070 3684 4605 6140 8903 9210 17806 18420 26709 35612 44515 53418 62189 89030 106836 124378 133545 178060 186567 248756 267090 310945 373134 534180 621890 746268 932835 1243780 1803481 1865670 3606962 3731340 5410443 7213924 9017405 10820886 18034810 19092023 21641772 27052215 36069620 38184046 54104430 57276069 76368092 95460115 108208860 114552138 190920230 229104276 286380345 381840460 553668667 572760690 1107337334 1145521380 1661006001 2214674668 2768343335 3322012002 5536686670 6644024004 8305030005 11073373340 16610060010 33220120020