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223000012213101 = 321016312753141223
BaseRepresentation
bin110010101101000100111100…
…100000110100101101101101
31002020120121000021100022220100
4302231010330200310231231
5213212113011111304401
62110140442532541313
764654135121401314
oct6255047440645555
91066517007308810
10223000012213101
1165066857328a32
1221016a90a81839
139757a7078a7a6
143d0d38863727b
151abab1e77cb86
hexcad13c834b6d

223000012213101 has 48 divisors (see below), whose sum is σ = 325936536636672. Its totient is φ = 146907032832000.

The previous prime is 223000012213087. The next prime is 223000012213103. The reversal of 223000012213101 is 101312210000322.

223000012213101 is a `hidden beast` number, since 2 + 230 + 0 + 0 + 0 + 122 + 1 + 310 + 1 = 666.

223000012213101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 223000012213101 - 27 = 223000012212973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223000012213103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1578992376 + ... + 1579133598.

It is an arithmetic number, because the mean of its divisors is an integer number (6790344513264).

Almost surely, 2223000012213101 is an apocalyptic number.

It is an amenable number.

223000012213101 is a deficient number, since it is larger than the sum of its proper divisors (102936524423571).

223000012213101 is a wasteful number, since it uses less digits than its factorization.

223000012213101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144714 (or 144711 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 223000012213101 its reverse (101312210000322), we get a palindrome (324312222213423).

The spelling of 223000012213101 in words is "two hundred twenty-three trillion, twelve million, two hundred thirteen thousand, one hundred one".

Divisors: 1 3 9 101 303 631 909 1893 2753 5679 8259 24777 63731 141223 191193 278053 423669 573579 834159 1271007 1737143 2502477 5211429 14263523 15634287 42790569 89111713 128371707 175451443 267335139 388786919 526354329 802005417 1166360757 1579062987 3499082271 9000283013 27000849039 39267478819 81002547117 117802436457 245324545889 353407309371 735973637667 2207920913001 24777779134789 74333337404367 223000012213101