Search a number
-
+
230133122130 = 235331226710223
BaseRepresentation
bin1101011001010100000…
…0001100010001010010
3211000000101001220002210
43112111000030101102
512232303034402010
6253415515252550
722424625156012
oct3262500142122
9730011056083
10230133122130
118966516991a
123872714a156
1318917153b62
14b1d209dc42
155ebdae6b20
hex359500c452

230133122130 has 64 divisors (see below), whose sum is σ = 554286716928. Its totient is φ = 61150457280.

The previous prime is 230133122119. The next prime is 230133122147. The reversal of 230133122130 is 31221331032.

It is a super-2 number, since 2×2301331221302 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 230133122097 and 230133122106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22506199 + ... + 22516421.

It is an arithmetic number, because the mean of its divisors is an integer number (8660729952).

Almost surely, 2230133122130 is an apocalyptic number.

230133122130 is an abundant number, since it is smaller than the sum of its proper divisors (324153594798).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230133122130 is a wasteful number, since it uses less digits than its factorization.

230133122130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12831.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 230133122130 its reverse (31221331032), we get a palindrome (261354453162).

The spelling of 230133122130 in words is "two hundred thirty billion, one hundred thirty-three million, one hundred twenty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 331 662 993 1655 1986 2267 3310 4534 4965 6801 9930 10223 11335 13602 20446 22670 30669 34005 51115 61338 68010 102230 153345 306690 750377 1500754 2251131 3383813 3751885 4502262 6767626 7503770 10151439 11255655 16919065 20302878 22511310 23175541 33838130 46351082 50757195 69526623 101514390 115877705 139053246 231755410 347633115 695266230 7671104071 15342208142 23013312213 38355520355 46026624426 76711040710 115066561065 230133122130