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220001300001 = 32731634091069
BaseRepresentation
bin1100110011100100011…
…0010110111000100001
3210000212021021000000100
43030321012112320201
512101030313100001
6245022303213013
721615560124000
oct3147106267041
9700767230010
10220001300001
1185335aa89aa
1236779ba7169
1317991060732
14a910624c37
155ac939a586
hex3339196e21

220001300001 has 96 divisors (see below), whose sum is σ = 374123360000. Its totient is φ = 124521691392.

The previous prime is 220001299979. The next prime is 220001300021. The reversal of 220001300001 is 100003100022.

It is a happy number.

It is not a de Polignac number, because 220001300001 - 214 = 220001283617 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (220001300021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 205800495 + ... + 205801563.

Almost surely, 2220001300001 is an apocalyptic number.

220001300001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

220001300001 is a deficient number, since it is larger than the sum of its proper divisors (154122059999).

220001300001 is a wasteful number, since it uses less digits than its factorization.

220001300001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 220001300001 its reverse (100003100022), we get a palindrome (320004400023).

The spelling of 220001300001 in words is "two hundred twenty billion, one million, three hundred thousand, one".

Divisors: 1 3 7 9 21 49 63 147 163 343 409 441 489 1029 1069 1141 1227 1467 2863 3087 3207 3423 3681 7483 7987 8589 9621 10269 20041 22449 23961 25767 52381 55909 60123 66667 67347 71883 140287 157143 167727 174247 180369 200001 366667 420861 437221 466669 471429 503181 522741 600003 1100001 1219729 1262583 1311663 1400007 1568223 3060547 3266683 3300003 3659187 3934989 4200021 8538103 9181641 9800049 10977561 21423829 22866781 25614309 27544923 29400147 59766721 64271487 68600343 71267023 76842927 149966803 179300163 192814461 205801029 213801069 449900409 498869161 537900489 641403207 1349701227 1496607483 3492084127 4489822449 10476252381 24444588889 31428757143 73333766667 220001300001