Search a number
-
+
10122310332 = 2232281175287
BaseRepresentation
bin10010110110101011…
…00011001010111100
3222010102220122100200
421123111203022330
5131212302412312
64352232123500
7505561134561
oct113325431274
928112818320
1010122310332
114324864632
121b65b36590
13c54142b54
146c04c0868
153e39bd0dc
hex25b5632bc

10122310332 has 18 divisors (see below), whose sum is σ = 25586951208. Its totient is φ = 3374103432.

The previous prime is 10122310301. The next prime is 10122310333. The reversal of 10122310332 is 23301322101.

10122310332 is a `hidden beast` number, since 1 + 0 + 1 + 22 + 310 + 332 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×101223103322 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122310333) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 140587608 + ... + 140587679.

Almost surely, 210122310332 is an apocalyptic number.

10122310332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10122310332 is an abundant number, since it is smaller than the sum of its proper divisors (15464640876).

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

10122310332 is a wasteful number, since it uses less digits than its factorization.

10122310332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281175297 (or 281175292 counting only the distinct ones).

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

Adding to 10122310332 its reverse (23301322101), we get a palindrome (33423632433).

The spelling of 10122310332 in words is "ten billion, one hundred twenty-two million, three hundred ten thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 281175287 562350574 843525861 1124701148 1687051722 2530577583 3374103444 5061155166 10122310332