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2010201121220 = 2251033535095431
BaseRepresentation
bin11101010000001001010…
…100101110000111000100
321010011200101001111112112
4131100021110232013010
5230413342441334340
64135250150240152
7265142441414165
oct35201124560704
97104611044475
102010201121220
11705581144186
12285710356058
1311773ab0c286
146d41960776c
1537453867065
hex1d40952e1c4

2010201121220 has 96 divisors (see below), whose sum is σ = 4283668247040. Its totient is φ = 792312238080.

The previous prime is 2010201121217. The next prime is 2010201121223. The reversal of 2010201121220 is 221211020102.

It is an interprime number because it is at equal distance from previous prime (2010201121217) and next prime (2010201121223).

It is a junction number, because it is equal to n+sod(n) for n = 2010201121195 and 2010201121204.

It is not an unprimeable number, because it can be changed into a prime (2010201121223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 370131905 + ... + 370137335.

It is an arithmetic number, because the mean of its divisors is an integer number (44621544240).

Almost surely, 22010201121220 is an apocalyptic number.

2010201121220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010201121220 is an abundant number, since it is smaller than the sum of its proper divisors (2273467125820).

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

2010201121220 is a wasteful number, since it uses less digits than its factorization.

2010201121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6405 (or 6403 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2010201121220 its reverse (221211020102), we get a palindrome (2231412141322).

The spelling of 2010201121220 in words is "two trillion, ten billion, two hundred one million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 103 206 353 412 509 515 706 1018 1030 1412 1765 2036 2060 2545 3530 5090 5431 7060 10180 10862 21724 27155 36359 52427 54310 72718 104854 108620 145436 179677 181795 209708 262135 359354 363590 524270 559393 718708 727180 898385 1048540 1118786 1796770 1917143 2237572 2764379 2796965 3593540 3834286 5528758 5593930 7668572 9585715 11057516 11187860 13821895 18506731 19171430 27643790 37013462 38342860 55287580 74026924 92533655 185067310 197465729 284731037 370134620 394931458 569462074 789862916 975825787 987328645 1138924148 1423655185 1951651574 1974657290 2847310370 3903303148 3949314580 4879128935 5694620740 9758257870 19516515740 100510056061 201020112122 402040224244 502550280305 1005100560610 2010201121220