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20100210111120 = 2435229365724347
BaseRepresentation
bin1001001000111111100011…
…11000100011001010010000
32122011120011012110121011210
410210133301320203022100
510113310212242023440
6110425524204340120
74143122641636146
oct444376170431220
978146135417153
1020100210111120
11644a4a6661797
12230767b844640
13b2a5984aaa89
144d6bd9173596
1524ccbc775a80
hex1247f1e23290

20100210111120 has 80 divisors (see below), whose sum is σ = 62582750429760. Its totient is φ = 5336649656832.

The previous prime is 20100210111103. The next prime is 20100210111127. The reversal of 20100210111120 is 2111101200102.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×201002101111202 (a number of 27 digits) contains 22 as substring.

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 = 20100210111096 and 20100210111105.

It is not an unprimeable number, because it can be changed into a prime (20100210111127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182807214 + ... + 182917133.

It is an arithmetic number, because the mean of its divisors is an integer number (782284380372).

Almost surely, 220100210111120 is an apocalyptic number.

20100210111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20100210111120 is an abundant number, since it is smaller than the sum of its proper divisors (42482540318640).

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

20100210111120 is a wasteful number, since it uses less digits than its factorization.

20100210111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365724592 (or 365724586 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 20100210111120 its reverse (2111101200102), we get a palindrome (22211311311222).

The spelling of 20100210111120 in words is "twenty trillion, one hundred billion, two hundred ten million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 229 240 458 687 916 1145 1374 1832 2290 2748 3435 3664 4580 5496 6870 9160 10992 13740 18320 27480 54960 365724347 731448694 1097173041 1462897388 1828621735 2194346082 2925794776 3657243470 4388692164 5485865205 5851589552 7314486940 8777384328 10971730410 14628973880 17554768656 21943460820 29257947760 43886921640 83750875463 87773843280 167501750926 251252626389 335003501852 418754377315 502505252778 670007003704 837508754630 1005010505556 1256263131945 1340014007408 1675017509260 2010021011112 2512526263890 3350035018520 4020042022224 5025052527780 6700070037040 10050105055560 20100210111120