Search a number
-
+
101204312 = 23111318779
BaseRepresentation
bin1100000100001…
…00000101011000
321001102201012212
412002010011120
5201402014222
614013054252
72336136206
oct602040530
9231381185
10101204312
1152144330
1229a87388
1317c75a11
14d626076
158d416e2
hex6084158

101204312 has 32 divisors (see below), whose sum is σ = 208612800. Its totient is φ = 45645600.

The previous prime is 101204309. The next prime is 101204321. The reversal of 101204312 is 213402101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7139 + ... + 15917.

It is an arithmetic number, because the mean of its divisors is an integer number (6519150).

Almost surely, 2101204312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101204312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104306400).

101204312 is an abundant number, since it is smaller than the sum of its proper divisors (107408488).

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

101204312 is a wasteful number, since it uses less digits than its factorization.

101204312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8927 (or 8923 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 101204312 is about 10060.0353876117. The cubic root of 101204312 is about 466.0147600426.

Adding to 101204312 its reverse (213402101), we get a palindrome (314606413).

The spelling of 101204312 in words is "one hundred one million, two hundred four thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 131 262 524 1048 1441 2882 5764 8779 11528 17558 35116 70232 96569 193138 386276 772552 1150049 2300098 4600196 9200392 12650539 25301078 50602156 101204312