Search a number
-
+
101337340 = 2251317101227
BaseRepresentation
bin1100000101001…
…00100011111100
321001200110200211
412002210203330
5201420243330
614020002204
72340232066
oct602444374
9231613624
10101337340
1152225275
1229b30364
1317cc1430
14d65c736
158d6ad2a
hex60a48fc

101337340 has 96 divisors (see below), whose sum is σ = 246141504. Its totient is φ = 34713600.

The previous prime is 101337337. The next prime is 101337343. The reversal of 101337340 is 43733101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101337337) and next prime (101337343).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101337343) 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, 446307 + ... + 446533.

It is an arithmetic number, because the mean of its divisors is an integer number (2563974).

Almost surely, 2101337340 is an apocalyptic number.

101337340 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 101337340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123070752).

101337340 is an abundant number, since it is smaller than the sum of its proper divisors (144804164).

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

101337340 is a wasteful number, since it uses less digits than its factorization.

101337340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 22.

The square root of 101337340 is about 10066.6449227138. The cubic root of 101337340 is about 466.2188549995.

The spelling of 101337340 in words is "one hundred one million, three hundred thirty-seven thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 101 130 170 202 221 227 260 340 404 442 454 505 884 908 1010 1105 1135 1313 1717 2020 2210 2270 2626 2951 3434 3859 4420 4540 5252 5902 6565 6868 7718 8585 11804 13130 14755 15436 17170 19295 22321 22927 26260 29510 34340 38590 44642 45854 50167 59020 77180 89284 91708 100334 111605 114635 200668 223210 229270 250835 298051 389759 446420 458540 501670 596102 779518 1003340 1192204 1490255 1559036 1948795 2980510 3897590 5066867 5961020 7795180 10133734 20267468 25334335 50668670 101337340