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1210132221520 = 24521101716869
BaseRepresentation
bin10001100111000001100…
…000000100111001010000
311021200120012021021221011
4101213001200010321100
5124311322322042040
62323532125140304
7153300130110325
oct21470140047120
94250505237834
101210132221520
1142723a100092
121766469ba694
138a1657bab61
14427dc068b4c
15217294b53ea
hex119c1804e50

1210132221520 has 40 divisors (see below), whose sum is σ = 2813694677640. Its totient is φ = 484029273600.

The previous prime is 1210132221511. The next prime is 1210132221527. The reversal of 1210132221520 is 251222310121.

It can be written as a sum of positive squares in 4 ways, for example, as 4405242384 + 1205726979136 = 66372^2 + 1098056^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×12101322215202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1210132221491 and 1210132221500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1210132221527) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1329646 + ... + 2046514.

It is an arithmetic number, because the mean of its divisors is an integer number (70342366941).

Almost surely, 21210132221520 is an apocalyptic number.

1210132221520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1210132221520 is an abundant number, since it is smaller than the sum of its proper divisors (1603562456120).

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

1210132221520 is a wasteful number, since it uses less digits than its factorization.

1210132221520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737983 (or 737977 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 1210132221520 its reverse (251222310121), we get a palindrome (1461354531641).

The spelling of 1210132221520 in words is "one trillion, two hundred ten billion, one hundred thirty-two million, two hundred twenty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 21101 42202 84404 105505 168808 211010 337616 422020 716869 844040 1433738 1688080 2867476 3584345 5734952 7168690 11469904 14337380 28674760 57349520 15126652769 30253305538 60506611076 75633263845 121013222152 151266527690 242026444304 302533055380 605066110760 1210132221520