Search a number
-
+
223210211101329 = 3719404292559593
BaseRepresentation
bin110010110000001000101101…
…010101111100101010010001
31002021022200120101122012212210
4302300020231111330222101
5213224034003020220304
62110421204432342333
765005256053434324
oct6260105525745221
91067280511565783
10223210211101329
1165137a120a7881
122104b7740a49a9
13977182ba5236a
143d196090507bb
151ac1323299c89
hexcb022d57ca91

223210211101329 has 16 divisors (see below), whose sum is σ = 298035030009600. Its totient is φ = 148596110199936.

The previous prime is 223210211101301. The next prime is 223210211101369. The reversal of 223210211101329 is 923101112012322.

It is not a de Polignac number, because 223210211101329 - 212 = 223210211097233 is a prime.

It is a super-3 number, since 3×2232102111013293 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 223210211101296 and 223210211101305.

It is not an unprimeable number, because it can be changed into a prime (223210211101369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85925557 + ... + 88485149.

It is an arithmetic number, because the mean of its divisors is an integer number (18627189375600).

Almost surely, 2223210211101329 is an apocalyptic number.

It is an amenable number.

223210211101329 is a deficient number, since it is larger than the sum of its proper divisors (74824818908271).

223210211101329 is a wasteful number, since it uses less digits than its factorization.

223210211101329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2600744.

The product of its (nonzero) digits is 2592, while the sum is 30.

The spelling of 223210211101329 in words is "two hundred twenty-three trillion, two hundred ten billion, two hundred eleven million, one hundred one thousand, three hundred twenty-nine".

Divisors: 1 3 719 2157 40429 121287 2559593 7678779 29068451 87205353 1840347367 5521042101 103481785397 310445356191 74403403700443 223210211101329