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223130013221301 = 337127149910559167
BaseRepresentation
bin110010101110111110000001…
…001011010100000110110101
31002021001000120021011210111220
4302232332001023110012311
5213221230231341040201
62110320302445420553
764666416506625114
oct6256760113240665
91067030507153456
10223130013221301
11651069a852658a
1221038111b6a759
1397670ba926194
143d1579bcc5c7b
151abe1cc740036
hexcaef812d41b5

223130013221301 has 32 divisors (see below), whose sum is σ = 308158758912000. Its totient is φ = 143497545420096.

The previous prime is 223130013221279. The next prime is 223130013221303. The reversal of 223130013221301 is 103122310031322.

223130013221301 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 223130013221301 - 219 = 223130012697013 is a prime.

It is a super-3 number, since 3×2231300132213013 (a number of 44 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223130013221303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15851820 + ... + 26410986.

It is an arithmetic number, because the mean of its divisors is an integer number (9629961216000).

Almost surely, 2223130013221301 is an apocalyptic number.

It is an amenable number.

223130013221301 is a deficient number, since it is larger than the sum of its proper divisors (85028745690699).

223130013221301 is a wasteful number, since it uses less digits than its factorization.

223130013221301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10560833.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 223130013221301 its reverse (103122310031322), we get a palindrome (326252323252623).

The spelling of 223130013221301 in words is "two hundred twenty-three trillion, one hundred thirty billion, thirteen million, two hundred twenty-one thousand, three hundred one".

Divisors: 1 3 37 111 127 381 1499 4497 4699 14097 55463 166389 190373 571119 7043801 10559167 21131403 31677501 390689179 1172067537 1341014209 4023042627 15828191333 47484573999 49617525733 148852577199 585643079321 1756929237963 2010180299291 6030540897873 74376671073767 223130013221301