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1001021212112 = 247313711815297
BaseRepresentation
bin11101001000100011000…
…00111000010111010000
310112200210220000101010212
432210101200320113100
5112400042412241422
62043510210343252
7132215144624555
oct16442140702720
93480726011125
101001021212112
11356592417749
12142007b8ab28
137351ba21a6c
1436641d16a2c
151b08b2379e2
hexe9118385d0

1001021212112 has 80 divisors (see below), whose sum is σ = 1982448574992. Its totient is φ = 489543598080.

The previous prime is 1001021212111. The next prime is 1001021212127. The reversal of 1001021212112 is 2112121201001.

It can be written as a sum of positive squares in 8 ways, for example, as 226381833616 + 774639378496 = 475796^2 + 880136^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001021212111) 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, 188976248 + ... + 188981544.

Almost surely, 21001021212112 is an apocalyptic number.

It is an amenable number.

1001021212112 is a deficient number, since it is larger than the sum of its proper divisors (981427362880).

1001021212112 is a wasteful number, since it uses less digits than its factorization.

1001021212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6696 (or 6690 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1001021212112 its reverse (2112121201001), we get a palindrome (3113142413113).

The spelling of 1001021212112 in words is "one trillion, one billion, twenty-one million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 16 73 137 146 274 292 548 584 1096 1168 1181 2192 2362 4724 5297 9448 10001 10594 18896 20002 21188 40004 42376 80008 84752 86213 160016 161797 172426 323594 344852 386681 647188 689704 725689 773362 1294376 1379408 1451378 1546724 2588752 2902756 3093448 5805512 6186896 6255757 11611024 11811181 12511514 23622362 25023028 47244724 50046056 52975297 94489448 100092112 105950594 188978896 211901188 423802376 456670261 847604752 857038709 913340522 1714077418 1826681044 3428154836 3653362088 6856309672 7306724176 13712619344 62563825757 125127651514 250255303028 500510606056 1001021212112