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21003013434 = 2313233761463
BaseRepresentation
bin10011100011111000…
…001000110100111010
32000012201212122000110
4103203320020310322
5321003232412214
613352035245150
71342321445214
oct234370106472
960181778013
1021003013434
1189a8720947
1240a1a497b6
131c9942b600
1410335b95b4
1582dd45159
hex4e3e08d3a

21003013434 has 48 divisors (see below), whose sum is σ = 45621531072. Its totient is φ = 6443184384.

The previous prime is 21003013373. The next prime is 21003013463. The reversal of 21003013434 is 43431030012.

It is a super-2 number, since 2×210030134342 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21003013434.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 310987 + ... + 372449.

It is an arithmetic number, because the mean of its divisors is an integer number (950448564).

Almost surely, 221003013434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21003013434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22810765536).

21003013434 is an abundant number, since it is smaller than the sum of its proper divisors (24618517638).

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

21003013434 is a wasteful number, since it uses less digits than its factorization.

21003013434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61831 (or 61818 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 21003013434 its reverse (43431030012), we get a palindrome (64434043446).

The spelling of 21003013434 in words is "twenty-one billion, three million, thirteen thousand, four hundred thirty-four".

Divisors: 1 2 3 6 13 26 39 78 169 337 338 507 674 1011 1014 2022 4381 8762 13143 26286 56953 61463 113906 122926 170859 184389 341718 368778 799019 1598038 2397057 4794114 10387247 20713031 20774494 31161741 41426062 62139093 62323482 124278186 269269403 538538806 807808209 1615616418 3500502239 7001004478 10501506717 21003013434