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23101410132 = 22323717343401
BaseRepresentation
bin10101100000111100…
…111000101101010100
32012121222101020010200
4111200330320231110
5334302430111012
614340155220500
71445321513643
oct254074705524
965558336120
1023101410132
119885164399
124588747730
1322420a7768
14119216935a
159031923dc
hex560f38b54

23101410132 has 36 divisors (see below), whose sum is σ = 59973484116. Its totient is φ = 7492348800.

The previous prime is 23101410131. The next prime is 23101410161.

23101410132 is a `hidden beast` number, since 23 + 101 + 410 + 132 = 666.

23101410132 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 17887992516 + 5213417616 = 133746^2 + 72204^2 .

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 (23101410131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8670369 + ... + 8673032.

Almost surely, 223101410132 is an apocalyptic number.

It is an amenable number.

23101410132 is an abundant number, since it is smaller than the sum of its proper divisors (36872073984).

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

23101410132 is a wasteful number, since it uses less digits than its factorization.

23101410132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17343448 (or 17343443 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The spelling of 23101410132 in words is "twenty-three billion, one hundred one million, four hundred ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 17343401 34686802 52030203 69373604 104060406 156090609 208120812 312181218 624362436 641705837 1283411674 1925117511 2566823348 3850235022 5775352533 7700470044 11550705066 23101410132