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101213406 = 23271395779
BaseRepresentation
bin1100000100001…
…10010011011110
321001110011200200
412002012103132
5201402312111
614013204330
72336204550
oct602062336
9231404620
10101213406
1152150148
1229a906a6
1317c79bb8
14d6294d0
158d44256
hex60864de

101213406 has 48 divisors (see below), whose sum is σ = 252470400. Its totient is φ = 28705104.

The previous prime is 101213401. The next prime is 101213407. The reversal of 101213406 is 604312101.

It is a happy number.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101213401) 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, 14625 + ... + 20403.

It is an arithmetic number, because the mean of its divisors is an integer number (5259800).

Almost surely, 2101213406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101213406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126235200).

101213406 is an abundant number, since it is smaller than the sum of its proper divisors (151256994).

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

101213406 is a wasteful number, since it uses less digits than its factorization.

101213406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5933 (or 5930 counting only the distinct ones).

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

The square root of 101213406 is about 10060.4873639402. The cubic root of 101213406 is about 466.0287179831.

Adding to 101213406 its reverse (604312101), we get a palindrome (705525507).

The spelling of 101213406 in words is "one hundred one million, two hundred thirteen thousand, four hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 139 278 417 834 973 1251 1946 2502 2919 5779 5838 8757 11558 17337 17514 34674 40453 52011 80906 104022 121359 242718 364077 728154 803281 1606562 2409843 4819686 5622967 7229529 11245934 14459058 16868901 33737802 50606703 101213406