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2031010232220 = 2232519881967339
BaseRepresentation
bin11101100011100001101…
…001001011011110011100
321012011101121001212102100
4131203201221023132130
5231234002104412340
64153011101525100
7266510220062244
oct35434151133634
97164347055370
102031010232220
1171338a367282
12289759273790
131196a6009ac8
147043114ab24
1537c70659830
hex1d8e1a4b79c

2031010232220 has 144 divisors (see below), whose sum is σ = 6485811696000. Its totient is φ = 513031522176.

The previous prime is 2031010232213. The next prime is 2031010232281. The reversal of 2031010232220 is 222320101302.

2031010232220 is a `hidden beast` number, since 2 + 0 + 310 + 10 + 2 + 322 + 20 = 666.

It is a super-3 number, since 3×20310102322203 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 2031010232193 and 2031010232202.

It is a congruent number.

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, 30127311 + ... + 30194649.

It is an arithmetic number, because the mean of its divisors is an integer number (45040359000).

Almost surely, 22031010232220 is an apocalyptic number.

2031010232220 is a gapful number since it is divisible by the number (20) 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 2031010232220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3242905848000).

2031010232220 is an abundant number, since it is smaller than the sum of its proper divisors (4454801463780).

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

2031010232220 is a wasteful number, since it uses less digits than its factorization.

2031010232220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76192 (or 76187 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2031010232220 its reverse (222320101302), we get a palindrome (2253330333522).

The spelling of 2031010232220 in words is "two trillion, thirty-one billion, ten million, two hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 8819 17638 26457 35276 44095 52914 67339 79371 88190 105828 132285 134678 158742 167561 176380 202017 264570 269356 317484 335122 336695 396855 404034 502683 529140 606051 670244 673390 793710 808068 837805 1005366 1010085 1212102 1279441 1346780 1508049 1587420 1675610 2010732 2020170 2424204 2513415 2558882 3016098 3030255 3351220 3838323 4040340 5026830 5117764 6032196 6060510 6397205 7540245 7676646 10053660 11514969 12121020 12794410 15080490 15353292 19191615 23029938 25588820 30160980 38383230 46059876 57574845 76766460 115149690 230299380 593862641 1187725282 1781587923 2375450564 2969313205 3563175846 5344763769 5938626410 7126351692 8907939615 10689527538 11283390179 11877252820 17815879230 21379055076 22566780358 26723818845 33850170537 35631758460 45133560716 53447637690 56416950895 67700341074 101550511611 106895275380 112833901790 135400682148 169250852685 203101023222 225667803580 338501705370 406202046444 507752558055 677003410740 1015505116110 2031010232220