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10001010001212 = 2232333018342267
BaseRepresentation
bin1001000110001000101010…
…1001100000010100111100
31022102002100120201122000200
42101202022221200110330
52302324032030014322
633134222304523500
72051356231251246
oct221421251402474
938362316648020
1010001010001212
11320644a46896a
12115631a020590
13577125487989
142680a1321096
1512523894c8ac
hex9188aa6053c

10001010001212 has 36 divisors (see below), whose sum is σ = 25281093013176. Its totient is φ = 3333569493600.

The previous prime is 10001010001181. The next prime is 10001010001217. The reversal of 10001010001212 is 21210001010001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10001010001194 and 10001010001203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001010001217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2972298 + ... + 5369969.

Almost surely, 210001010001212 is an apocalyptic number.

10001010001212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10001010001212 is an abundant number, since it is smaller than the sum of its proper divisors (15280083011964).

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

10001010001212 is a wasteful number, since it uses less digits than its factorization.

10001010001212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8375578 (or 8375573 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10001010001212 its reverse (21210001010001), we get a palindrome (31211011011213).

It can be divided in two parts, 10001010001 and 212, that multiplied together give a palindrome (2120214120212).

The spelling of 10001010001212 in words is "ten trillion, one billion, ten million, one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 33301 66602 99903 133204 199806 299709 399612 599418 1198836 8342267 16684534 25026801 33369068 50053602 75080403 100107204 150160806 300321612 277805833367 555611666734 833417500101 1111223333468 1666835000202 2500252500303 3333670000404 5000505000606 10001010001212