Search a number
-
+
101045140 = 2257739887
BaseRepresentation
bin1100000010111…
…01001110010100
321001010121212121
412001131032110
5201331421030
614005425324
72334604150
oct601351624
9231117777
10101045140
1152045789
1229a0b244
1317c1b431
14d5c4060
158d0e47a
hex605d394

101045140 has 48 divisors (see below), whose sum is σ = 245855232. Its totient is φ = 34166016.

The previous prime is 101045107. The next prime is 101045201. The reversal of 101045140 is 41540101.

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, 5277 + ... + 15163.

It is an arithmetic number, because the mean of its divisors is an integer number (5121984).

Almost surely, 2101045140 is an apocalyptic number.

101045140 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 101045140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122927616).

101045140 is an abundant number, since it is smaller than the sum of its proper divisors (144810092).

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

101045140 is a wasteful number, since it uses less digits than its factorization.

101045140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9976 (or 9974 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 101045140 is about 10052.1211691861. The cubic root of 101045140 is about 465.7703191300.

Adding to 101045140 its reverse (41540101), we get a palindrome (142585241).

The spelling of 101045140 in words is "one hundred one million, forty-five thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 73 140 146 292 365 511 730 1022 1460 2044 2555 5110 9887 10220 19774 39548 49435 69209 98870 138418 197740 276836 346045 692090 721751 1384180 1443502 2887004 3608755 5052257 7217510 10104514 14435020 20209028 25261285 50522570 101045140