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10101133332 = 22321092574193
BaseRepresentation
bin10010110100001001…
…10001000000010100
3222001222001201222100
421122010301000110
5131141342231312
64350154202100
7505213134213
oct113204610024
928058051870
1010101133332
11431390aa84
121b5aa23330
13c4c939a94
146bb76b07a
153e1bd85dc
hex25a131014

10101133332 has 36 divisors (see below), whose sum is σ = 25767681940. Its totient is φ = 3336152832.

The previous prime is 10101133331. The next prime is 10101133333. The reversal of 10101133332 is 23333110101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10101133331) and next prime (10101133333).

It can be written as a sum of positive squares in 2 ways, for example, as 2289048336 + 7812084996 = 47844^2 + 88386^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 (10101133331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1283173 + ... + 1291020.

Almost surely, 210101133332 is an apocalyptic number.

10101133332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10101133332 is an abundant number, since it is smaller than the sum of its proper divisors (15666548608).

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

10101133332 is a wasteful number, since it uses less digits than its factorization.

10101133332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2574312 (or 2574307 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10101133332 its reverse (23333110101), we get a palindrome (33434243433).

The spelling of 10101133332 in words is "ten billion, one hundred one million, one hundred thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 109 218 327 436 654 981 1308 1962 3924 2574193 5148386 7722579 10296772 15445158 23167737 30890316 46335474 92670948 280587037 561174074 841761111 1122348148 1683522222 2525283333 3367044444 5050566666 10101133332