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1220002001010 = 2325138571216729
BaseRepresentation
bin10001110000001101110…
…010010011000001110010
311022122001001000001002200
4101300031302103001302
5124442031003013020
62332243340524030
7154066533622542
oct21601562230162
94278031001080
101220002001010
11430444362541
12178540250616
138b079513370
1443096bb1322
1521b05bee590
hex11c0dc93072

1220002001010 has 96 divisors (see below), whose sum is σ = 3419994417840. Its totient is φ = 299957520384.

The previous prime is 1220002000999. The next prime is 1220002001011. The reversal of 1220002001010 is 101002000221.

It can be written as a sum of positive squares in 8 ways, for example, as 439063939161 + 780938061849 = 662619^2 + 883707^2 .

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 = 1220002000983 and 1220002001001.

It is not an unprimeable number, because it can be changed into a prime (1220002001011) 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 47 ways as a sum of consecutive naturals, for example, 394326 + ... + 1611054.

Almost surely, 21220002001010 is an apocalyptic number.

1220002001010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220002001010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709997208920).

1220002001010 is an abundant number, since it is smaller than the sum of its proper divisors (2199992416830).

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

1220002001010 is a wasteful number, since it uses less digits than its factorization.

1220002001010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217612 (or 1217609 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1220002001010 its reverse (101002000221), we get a palindrome (1321004001231).

The spelling of 1220002001010 in words is "one trillion, two hundred twenty billion, two million, one thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 857 1170 1714 2571 4285 5142 7713 8570 11141 12855 15426 22282 25710 33423 38565 55705 66846 77130 100269 111410 167115 200538 334230 501345 1002690 1216729 2433458 3650187 6083645 7300374 10950561 12167290 15817477 18250935 21901122 31634954 36501870 47452431 54752805 79087385 94904862 109505610 142357293 158174770 237262155 284714586 474524310 711786465 1042736753 1423572930 2085473506 3128210259 5213683765 6256420518 9384630777 10427367530 13555577789 15641051295 18769261554 27111155578 31282102590 40666733367 46923153885 67777888945 81333466734 93846307770 122000200101 135555777890 203333666835 244000400202 406667333670 610001000505 1220002001010