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21010110020010 = 2325746093128921
BaseRepresentation
bin1001100011011110011000…
…01001001111100110101010
32202101112202200200011100100
410301233030021033212222
510223212201131120020
6112403524501250230
74265634053356626
oct461571411174652
982345680604310
1021010110020010
116770379412671
122433a97403976
13b95324cab227
14528c752a6186
152667c3e8da90
hex131bcc24f9aa

21010110020010 has 48 divisors (see below), whose sum is σ = 54627035678280. Its totient is φ = 5602619120640.

The previous prime is 21010110019979. The next prime is 21010110020041. The reversal of 21010110020010 is 1002001101012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21010110019979) and next prime (21010110020041).

It can be written as a sum of positive squares in 4 ways, for example, as 20695957616961 + 314152403049 = 4549281^2 + 560493^2 .

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 = 21010110019974 and 21010110020001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5150350 + ... + 8279270.

Almost surely, 221010110020010 is an apocalyptic number.

21010110020010 is an abundant number, since it is smaller than the sum of its proper divisors (33616925658270).

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

21010110020010 is a wasteful number, since it uses less digits than its factorization.

21010110020010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3203543 (or 3203540 counting only the distinct ones).

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

Adding to 21010110020010 its reverse (1002001101012), we get a palindrome (22012111121022).

The spelling of 21010110020010 in words is "twenty-one trillion, ten billion, one hundred ten million, twenty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 74609 149218 223827 373045 447654 671481 746090 1119135 1342962 2238270 3128921 3357405 6257842 6714810 9386763 15644605 18773526 28160289 31289210 46933815 56320578 93867630 140801445 281602890 233445666889 466891333778 700337000667 1167228334445 1400674001334 2101011002001 2334456668890 3501685003335 4202022004002 7003370006670 10505055010005 21010110020010