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2220123200010 = 2353747199213847
BaseRepresentation
bin100000010011101001101…
…001111001101000001010
321212020112012111000100120
4200103221221321220022
5242333303014400020
64415524401044110
7316253502555462
oct40235151715012
97766465430316
102220123200010
11786604738aa1
122ba336926636
13131483935791
1479651366ba2
153cb3ce06740
hex204e9a79a0a

2220123200010 has 128 divisors (see below), whose sum is σ = 5616846028800. Its totient is φ = 560940297984.

The previous prime is 2220123199997. The next prime is 2220123200011. The reversal of 2220123200010 is 100023210222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (2220123200011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10274907 + ... + 10488753.

It is an arithmetic number, because the mean of its divisors is an integer number (43881609600).

Almost surely, 22220123200010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220123200010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2808423014400).

2220123200010 is an abundant number, since it is smaller than the sum of its proper divisors (3396722828790).

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

2220123200010 is a wasteful number, since it uses less digits than its factorization.

2220123200010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214140.

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 2220123200010 its reverse (100023210222), we get a palindrome (2320146410232).

The spelling of 2220123200010 in words is "two trillion, two hundred twenty billion, one hundred twenty-three million, two hundred thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 37 47 74 94 111 141 185 199 222 235 282 370 398 470 555 597 705 995 1110 1194 1410 1739 1990 2985 3478 5217 5970 7363 8695 9353 10434 14726 17390 18706 22089 26085 28059 36815 44178 46765 52170 56118 73630 93530 110445 140295 213847 220890 280590 346061 427694 641541 692122 1038183 1069235 1283082 1730305 2076366 2138470 3207705 3460610 5190915 6415410 7912339 10050809 10381830 15824678 20101618 23737017 30152427 39561695 42555553 47474034 50254045 60304854 79123390 85111106 100508090 118685085 127666659 150762135 212777765 237370170 255333318 301524270 371879933 425555530 638333295 743759866 1115639799 1276666590 1574555461 1859399665 2000110991 2231279598 3149110922 3718799330 4000221982 4723666383 5578198995 6000332973 7872777305 9447332766 10000554955 11156397990 12000665946 15745554610 20001109910 23618331915 30001664865 47236663830 60003329730 74004106667 148008213334 222012320001 370020533335 444024640002 740041066670 1110061600005 2220123200010