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221223130401 = 3713940386179
BaseRepresentation
bin1100111000000111101…
…1010001010100100001
3210011000102100102020010
43032001323101110201
512111031110133101
6245343431235133
721661054403520
oct3160173212441
9704012312203
10221223130401
1185902765199
1236a5b218aa9
1317b272294c0
14a9c89d84b7
155b4b7992d6
hex3381ed1521

221223130401 has 32 divisors (see below), whose sum is σ = 363075650560. Its totient is φ = 116675360064.

The previous prime is 221223130399. The next prime is 221223130417. The reversal of 221223130401 is 104031322122.

It is not a de Polignac number, because 221223130401 - 21 = 221223130399 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (221223132401) 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 31 ways as a sum of consecutive naturals, for example, 2523930 + ... + 2610108.

It is an arithmetic number, because the mean of its divisors is an integer number (11346114080).

Almost surely, 2221223130401 is an apocalyptic number.

221223130401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

221223130401 is a deficient number, since it is larger than the sum of its proper divisors (141852520159).

221223130401 is a wasteful number, since it uses less digits than its factorization.

221223130401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95605.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 221223130401 its reverse (104031322122), we get a palindrome (325254452523).

The spelling of 221223130401 in words is "two hundred twenty-one billion, two hundred twenty-three million, one hundred thirty thousand, four hundred one".

Divisors: 1 3 7 13 21 39 91 273 9403 28209 65821 86179 122239 197463 258537 366717 603253 855673 1120327 1809759 2567019 3360981 7842289 23526867 810341137 2431023411 5672387959 10534434781 17017163877 31603304343 73741043467 221223130401