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10201210111120 = 245740427450601
BaseRepresentation
bin1001010001110010011110…
…0000010100010010010000
31100010020002212112221201011
42110130213200110102100
52314114034242023440
633410212104020304
72102004332151130
oct224344740242220
940106085487634
1010201210111120
113283344187656
121189090761694
1358cc7c09c182
14273a53c12ac0
1512a55474d9ea
hex94727814490

10201210111120 has 80 divisors (see below), whose sum is σ = 27106803232128. Its totient is φ = 3497463475200.

The previous prime is 10201210111073. The next prime is 10201210111123. The reversal of 10201210111120 is 2111101210201.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10201210111120.

It is not an unprimeable number, because it can be changed into a prime (10201210111123) 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, 22413820 + ... + 22864420.

Almost surely, 210201210111120 is an apocalyptic number.

10201210111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201210111120 is an abundant number, since it is smaller than the sum of its proper divisors (16905593121008).

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

10201210111120 is a wasteful number, since it uses less digits than its factorization.

10201210111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491048 (or 491042 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10201210111120 its reverse (2111101210201), we get a palindrome (12312311321321).

The spelling of 10201210111120 in words is "ten trillion, two hundred one billion, two hundred ten million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 40427 80854 161708 202135 282989 323416 404270 450601 565978 646832 808540 901202 1131956 1414945 1617080 1802404 2253005 2263912 2829890 3154207 3234160 3604808 4506010 4527824 5659780 6308414 7209616 9012020 11319560 12616828 15771035 18024040 22639120 25233656 31542070 36048080 50467312 63084140 126168280 252336560 18216446627 36432893254 72865786508 91082233135 127515126389 145731573016 182164466270 255030252778 291463146032 364328932540 510060505556 637575631945 728657865080 1020121011112 1275151263890 1457315730160 2040242022224 2550302527780 5100605055560 10201210111120