Search a number
-
+
101322040 = 235171091367
BaseRepresentation
bin1100000101000…
…00110100111000
321001122200201011
412002200310320
5201414301130
614015403304
72340136351
oct602406470
9231580634
10101322040
1152214826
1229b23534
1317cb7491
14d656d28
158d6652a
hex60a0d38

101322040 has 64 divisors (see below), whose sum is σ = 243777600. Its totient is φ = 37767168.

The previous prime is 101322031. The next prime is 101322059. The reversal of 101322040 is 40223101.

It is a self number, because there is not a number n which added to its sum of digits gives 101322040.

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, 73437 + ... + 74803.

It is an arithmetic number, because the mean of its divisors is an integer number (3809025).

Almost surely, 2101322040 is an apocalyptic number.

101322040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101322040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121888800).

101322040 is an abundant number, since it is smaller than the sum of its proper divisors (142455560).

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

101322040 is a wasteful number, since it uses less digits than its factorization.

101322040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 101322040 is about 10065.8849586114. The cubic root of 101322040 is about 466.1953904420.

Adding to 101322040 its reverse (40223101), we get a palindrome (141545141).

The spelling of 101322040 in words is "one hundred one million, three hundred twenty-two thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 109 136 170 218 340 436 545 680 872 1090 1367 1853 2180 2734 3706 4360 5468 6835 7412 9265 10936 13670 14824 18530 23239 27340 37060 46478 54680 74120 92956 116195 149003 185912 232390 298006 464780 596012 745015 929560 1192024 1490030 2533051 2980060 5066102 5960120 10132204 12665255 20264408 25330510 50661020 101322040