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21021110000001 = 3217297166727963
BaseRepresentation
bin1001100011110010110111…
…10010110101100110000001
32202102121011022002001010200
410301321123302311212001
510223402213130000001
6112412544205115413
74266503462560266
oct461713362654601
982377138061120
1021021110000001
116775003637421
122436047258b69
13b96388bc9727
145295da16d26d
15266c19a27086
hex131e5bcb5981

21021110000001 has 48 divisors (see below), whose sum is σ = 33726982124160. Its totient is φ = 12555533329920.

The previous prime is 21021109999991. The next prime is 21021110000039. The reversal of 21021110000001 is 10000001112012.

It is a happy number.

It is not a de Polignac number, because 21021110000001 - 25 = 21021109999969 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (21021110000071) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 33048955 + ... + 33679008.

It is an arithmetic number, because the mean of its divisors is an integer number (702645460920).

Almost surely, 221021110000001 is an apocalyptic number.

It is an amenable number.

21021110000001 is a deficient number, since it is larger than the sum of its proper divisors (12705872124159).

21021110000001 is a wasteful number, since it uses less digits than its factorization.

21021110000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66728086 (or 66728083 counting only the distinct ones).

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

Adding to 21021110000001 its reverse (10000001112012), we get a palindrome (31021111112013).

The spelling of 21021110000001 in words is "twenty-one trillion, twenty-one billion, one hundred ten million, one", and thus it is an aban number.

Divisors: 1 3 9 17 29 51 71 87 153 213 261 493 639 1207 1479 2059 3621 4437 6177 10863 18531 35003 105009 315027 66727963 200183889 600551667 1134375371 1935110927 3403126113 4737685373 5805332781 10209378339 14213056119 17415998343 32896885759 42639168357 80540651341 98690657277 137392875817 241621954023 296071971831 412178627451 724865862069 1236535882353 2335678888889 7007036666667 21021110000001