Search a number
-
+
101380422 = 231113173683
BaseRepresentation
bin1100000101011…
…11000101000110
321001202122210110
412002233011012
5201423133142
614020533450
72340501513
oct602570506
9231678713
10101380422
1152254680
1229b51286
1318007c20
14d67030a
158d7899c
hex60af146

101380422 has 64 divisors (see below), whose sum is σ = 239936256. Its totient is φ = 28152960.

The previous prime is 101380421. The next prime is 101380441. The reversal of 101380422 is 224083101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101380421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148093 + ... + 148775.

It is an arithmetic number, because the mean of its divisors is an integer number (3749004).

Almost surely, 2101380422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101380422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119968128).

101380422 is an abundant number, since it is smaller than the sum of its proper divisors (138555834).

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

101380422 is a wasteful number, since it uses less digits than its factorization.

101380422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 101380422 is about 10068.7845343914. The cubic root of 101380422 is about 466.2849142132.

The spelling of 101380422 in words is "one hundred one million, three hundred eighty thousand, four hundred twenty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 173 286 346 429 519 683 858 1038 1366 1903 2049 2249 3806 4098 4498 5709 6747 7513 8879 11418 13494 15026 17758 22539 24739 26637 45078 49478 53274 74217 97669 118159 148434 195338 236318 293007 354477 586014 708954 1299749 1536067 2599498 3072134 3899247 4608201 7798494 9216402 16896737 33793474 50690211 101380422