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22001011002101 = 1913150551174859
BaseRepresentation
bin1010000000010100000100…
…11100100000101011110101
32212220021110021200120210002
411000022002130200223311
510340431032304031401
6114443042552241045
74430343363632645
oct500120234405365
985807407616702
1022001011002101
11701263816674a
122573b3a0a0185
13c378c0137cb1
14560bd70c0525
1528246b9b9a6b
hex140282720af5

22001011002101 has 16 divisors (see below), whose sum is σ = 23336339980800. Its totient is φ = 20683428246000.

The previous prime is 22001011002077. The next prime is 22001011002121. The reversal of 22001011002101 is 10120011010022.

It is a cyclic number.

It is not a de Polignac number, because 22001011002101 - 234 = 21983831132917 is a prime.

It is a super-2 number, since 2×220010110021012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22001011002121) 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 15 ways as a sum of consecutive naturals, for example, 125734010 + ... + 125908868.

It is an arithmetic number, because the mean of its divisors is an integer number (1458521248800).

Almost surely, 222001011002101 is an apocalyptic number.

It is an amenable number.

22001011002101 is a deficient number, since it is larger than the sum of its proper divisors (1335328978699).

22001011002101 is a wasteful number, since it uses less digits than its factorization.

22001011002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225560.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 22001011002101 its reverse (10120011010022), we get a palindrome (32121022012123).

The spelling of 22001011002101 in words is "twenty-two trillion, one billion, eleven million, two thousand, one hundred one".

Divisors: 1 19 131 2489 50551 174859 960469 3322321 6622181 22906529 125821439 435224051 8839297309 167946648871 1157947947479 22001011002101