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10113322312233 = 327617333590207
BaseRepresentation
bin1001001100101011000011…
…1110111110001000101001
31022210211020211011011210200
42103022300332332020221
52311144041002442413
633301555055302413
72062443361166250
oct223126076761051
938724224134720
1010113322312233
11324a043878518
12117404321aa09
135848b3a4a44a
1426d6b7659797
1512810da49573
hex932b0fbe229

10113322312233 has 48 divisors (see below), whose sum is σ = 16991851309056. Its totient is φ = 5676546510720.

The previous prime is 10113322312193. The next prime is 10113322312253. The reversal of 10113322312233 is 33221322331101.

10113322312233 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 3 + 322 + 312 + 23 + 3 = 666.

10113322312233 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 10113322312233 - 225 = 10113288757801 is a prime.

It is a super-2 number, since 2×101133223122332 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10113322312197 and 10113322312206.

It is not an unprimeable number, because it can be changed into a prime (10113322312253) 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, 1021816 + ... + 4612022.

It is an arithmetic number, because the mean of its divisors is an integer number (353996902272).

Almost surely, 210113322312233 is an apocalyptic number.

It is an amenable number.

10113322312233 is a deficient number, since it is larger than the sum of its proper divisors (6878528996823).

10113322312233 is a wasteful number, since it uses less digits than its factorization.

10113322312233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3591014 (or 3591011 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 10113322312233 its reverse (33221322331101), we get a palindrome (43334644643334).

The spelling of 10113322312233 in words is "ten trillion, one hundred thirteen billion, three hundred twenty-two million, three hundred twelve thousand, two hundred thirty-three".

Divisors: 1 3 7 9 21 61 63 183 427 549 733 1281 2199 3843 5131 6597 15393 44713 46179 134139 312991 402417 938973 2816919 3590207 10770621 25131449 32311863 75394347 219002627 226183041 657007881 1533018389 1971023643 2631621731 4599055167 7894865193 13797165501 18421352117 23684595579 55264056351 160528925591 165792169053 481586776773 1123702479137 1444760330319 3371107437411 10113322312233