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1211342220 = 22325113671667
BaseRepresentation
bin100100000110011…
…1001110110001100
310010102100120010200
41020030321312030
54440100422340
6320111133500
742006144654
oct11014716614
93112316120
101211342220
11571853380
12299814290
13163c65c5a
14b6c43364
157152b330
hex48339d8c

1211342220 has 144 divisors (see below), whose sum is σ = 4021774848. Its totient is φ = 292682880.

The previous prime is 1211342213. The next prime is 1211342221. The reversal of 1211342220 is 222431121.

It is a happy number.

It is a super-3 number, since 3×12113422203 (a number of 28 digits) contains 333 as substring.

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 = 1211342193 and 1211342202.

It is not an unprimeable number, because it can be changed into a prime (1211342221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 725827 + ... + 727493.

It is an arithmetic number, because the mean of its divisors is an integer number (27928992).

Almost surely, 21211342220 is an apocalyptic number.

1211342220 is a gapful number since it is divisible by the number (10) 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 1211342220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2010887424).

1211342220 is an abundant number, since it is smaller than the sum of its proper divisors (2810432628).

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

1211342220 is a wasteful number, since it uses less digits than its factorization.

1211342220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2060 (or 2055 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1211342220 is about 34804.3419705071. The cubic root of 1211342220 is about 1065.9961056663.

Adding to 1211342220 its reverse (222431121), we get a palindrome (1433773341).

It can be divided in two parts, 121 and 1342220, that added together give a triangular number (1342341 = T1638).

The spelling of 1211342220 in words is "one billion, two hundred eleven million, three hundred forty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 367 396 495 660 734 990 1101 1468 1667 1835 1980 2202 3303 3334 3670 4037 4404 5001 5505 6606 6668 7340 8074 8335 10002 11010 12111 13212 15003 16148 16515 16670 18337 20004 20185 22020 24222 25005 30006 33030 33340 36333 36674 40370 48444 50010 55011 60012 60555 66060 72666 73348 75015 80740 91685 100020 110022 121110 145332 150030 165033 181665 183370 220044 242220 275055 300060 330066 363330 366740 550110 611789 660132 726660 825165 1100220 1223578 1650330 1835367 2447156 3058945 3300660 3670734 5506101 6117890 6729679 7341468 9176835 11012202 12235780 13459358 18353670 20189037 22024404 26918716 27530505 33648395 36707340 40378074 55061010 60567111 67296790 80756148 100945185 110122020 121134222 134593580 201890370 242268444 302835555 403780740 605671110 1211342220