Search a number
-
+
101021268 = 223291072713
BaseRepresentation
bin1100000010101…
…11011001010100
321001002102010110
412001113121110
5201330140033
614005123020
72334444435
oct601273124
9231072113
10101021268
1152029857
12299b9470
1317c105ca
14d5b948c
158d07363
hex6057654

101021268 has 48 divisors (see below), whose sum is σ = 246214080. Its totient is φ = 32196864.

The previous prime is 101021257. The next prime is 101021273. The reversal of 101021268 is 862120101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35880 + ... + 38592.

It is an arithmetic number, because the mean of its divisors is an integer number (5129460).

Almost surely, 2101021268 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 101021268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123107040).

101021268 is an abundant number, since it is smaller than the sum of its proper divisors (145192812).

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

101021268 is a wasteful number, since it uses less digits than its factorization.

101021268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2856 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 101021268 is about 10050.9336879715. The cubic root of 101021268 is about 465.7336366969.

Adding to 101021268 its reverse (862120101), we get a palindrome (963141369).

The spelling of 101021268 in words is "one hundred one million, twenty-one thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 12 29 58 87 107 116 174 214 321 348 428 642 1284 2713 3103 5426 6206 8139 9309 10852 12412 16278 18618 32556 37236 78677 157354 236031 290291 314708 472062 580582 870873 944124 1161164 1741746 3483492 8418439 16836878 25255317 33673756 50510634 101021268