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2011001201220 = 22351116131889009
BaseRepresentation
bin11101010000111001000…
…000110010001001000100
321010020202010112202222010
4131100321000302021010
5230422012301414340
64135501410534220
7265201325113014
oct35207100621104
97106663482863
102011001201220
1170595182a120
122858b4297370
131178377bc6ab
146d493993c44
153749dc07b80
hex1d439032244

2011001201220 has 96 divisors (see below), whose sum is σ = 6146506074240. Its totient is φ = 487212943360.

The previous prime is 2011001201201. The next prime is 2011001201239. The reversal of 2011001201220 is 221021001102.

It is an interprime number because it is at equal distance from previous prime (2011001201201) and next prime (2011001201239).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2011001201196 and 2011001201205.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120076 + ... + 2009084.

It is an arithmetic number, because the mean of its divisors is an integer number (64026104940).

Almost surely, 22011001201220 is an apocalyptic number.

2011001201220 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 2011001201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3073253037120).

2011001201220 is an abundant number, since it is smaller than the sum of its proper divisors (4135504873020).

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

2011001201220 is a wasteful number, since it uses less digits than its factorization.

2011001201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890645 (or 1890643 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2011001201220 its reverse (221021001102), we get a palindrome (2232022202322).

The spelling of 2011001201220 in words is "two trillion, eleven billion, one million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1613 3226 4839 6452 8065 9678 16130 17743 19356 24195 32260 35486 48390 53229 70972 88715 96780 106458 177430 212916 266145 354860 532290 1064580 1889009 3778018 5667027 7556036 9445045 11334054 18890090 20779099 22668108 28335135 37780180 41558198 56670270 62337297 83116396 103895495 113340540 124674594 207790990 249349188 311686485 415581980 623372970 1246745940 3046971517 6093943034 9140914551 12187886068 15234857585 18281829102 30469715170 33516686687 36563658204 45704572755 60939430340 67033373374 91409145510 100550060061 134066746748 167583433435 182818291020 201100120122 335166866870 402200240244 502750300305 670333733740 1005500600610 2011001201220