Search a number
-
+
230153454553321 = 13316710318267591
BaseRepresentation
bin110100010101001011000110…
…111001110000100011101001
31010011220110021222010211012101
4310111023012321300203221
5220131313233331201241
62133255012024213401
766323016105133225
oct6425130671604351
91104813258124171
10230153454553321
11673745940095a2
122199134630a261
139b564ba894170
1440b96b548d785
151b91c45d78e31
hexd152c6e708e9

230153454553321 has 32 divisors (see below), whose sum is σ = 259923568214016. Its totient is φ = 202331076552000.

The previous prime is 230153454553241. The next prime is 230153454553343. The reversal of 230153454553321 is 123355454351032.

It is a cyclic number.

It is not a de Polignac number, because 230153454553321 - 213 = 230153454545129 is a prime.

It is a super-2 number, since 2×2301534545533212 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (230153454557321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23704236 + ... + 31971826.

It is an arithmetic number, because the mean of its divisors is an integer number (8122611506688).

Almost surely, 2230153454553321 is an apocalyptic number.

It is an amenable number.

230153454553321 is a deficient number, since it is larger than the sum of its proper divisors (29770113660695).

230153454553321 is a wasteful number, since it uses less digits than its factorization.

230153454553321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8268733.

The product of its (nonzero) digits is 3240000, while the sum is 46.

The spelling of 230153454553321 in words is "two hundred thirty trillion, one hundred fifty-three billion, four hundred fifty-four million, five hundred fifty-three thousand, three hundred twenty-one".

Divisors: 1 13 31 67 403 871 1031 2077 13403 27001 31961 69077 415493 898001 2141387 8267591 27838031 107478683 256295321 553928597 3331839173 7201071761 8523886321 17171786507 110810522173 223233224591 264240475951 571100383507 3435126187363 7424304985591 17704111888717 230153454553321