Search a number
-
+
23133101022 = 23259148914629
BaseRepresentation
bin10101100010110101…
…110001101111011110
32012201012000021212100
4111202311301233132
5334334033213042
614343250345530
71446155054133
oct254265615736
965635007770
1023133101022
1198a103a209
12459728b2a6
132248822275
14119645858a
15905d5224c
hex562d71bde

23133101022 has 48 divisors (see below), whose sum is σ = 51008958000. Its totient is φ = 7574729472.

The previous prime is 23133100997. The next prime is 23133101029. The reversal of 23133101022 is 22010133132.

23133101022 is a `hidden beast` number, since 231 + 331 + 0 + 102 + 2 = 666.

It is a super-3 number, since 3×231331010223 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 23133100986 and 23133101004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23133101029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1574004 + ... + 1588632.

It is an arithmetic number, because the mean of its divisors is an integer number (1062686625).

Almost surely, 223133101022 is an apocalyptic number.

23133101022 is an abundant number, since it is smaller than the sum of its proper divisors (27875856978).

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

23133101022 is a wasteful number, since it uses less digits than its factorization.

23133101022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16185 (or 16182 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 23133101022 its reverse (22010133132), we get a palindrome (45143234154).

The spelling of 23133101022 in words is "twenty-three billion, one hundred thirty-three million, one hundred one thousand, twenty-two".

Divisors: 1 2 3 6 9 18 59 118 177 354 531 1062 1489 2978 4467 8934 13401 14629 26802 29258 43887 87774 87851 131661 175702 263322 263553 527106 790659 863111 1581318 1726222 2589333 5178666 7767999 15535998 21782581 43565162 65347743 130695486 196043229 392086458 1285172279 2570344558 3855516837 7711033674 11566550511 23133101022