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22004314101 = 32711271117167
BaseRepresentation
bin10100011111100011…
…110010111111110101
32002210111222222022100
4110133203302333311
5330031101022401
614035244452313
71406200404150
oct243743627765
962714888270
1022004314101
119371952960
12432124a099
1320c8a02803
1410ca584c97
1588bbd1b86
hex51f8f2ff5

22004314101 has 48 divisors (see below), whose sum is σ = 39773380608. Its totient is φ = 11388535200.

The previous prime is 22004314093. The next prime is 22004314109. The reversal of 22004314101 is 10141340022.

22004314101 is a `hidden beast` number, since 220 + 0 + 4 + 31 + 410 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (22004314093) and next prime (22004314109).

It is not a de Polignac number, because 22004314101 - 23 = 22004314093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22004314109) 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, 129220 + ... + 246386.

It is an arithmetic number, because the mean of its divisors is an integer number (828612096).

Almost surely, 222004314101 is an apocalyptic number.

22004314101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22004314101 is a deficient number, since it is larger than the sum of its proper divisors (17769066507).

22004314101 is a wasteful number, since it uses less digits than its factorization.

22004314101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117462 (or 117459 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22004314101 its reverse (10141340022), we get a palindrome (32145654123).

The spelling of 22004314101 in words is "twenty-two billion, four million, three hundred fourteen thousand, one hundred one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 271 693 813 1897 2439 2981 5691 8943 17073 20867 26829 62601 117167 187803 351501 820169 1054503 1288837 2460507 3866511 7381521 9021859 11599533 27065577 31752257 81196731 95256771 222265799 285770313 349274827 666797397 1047824481 2000392191 2444923789 3143473443 7334771367 22004314101