Search a number
-
+
101378385 = 37573127
BaseRepresentation
bin1100000101011…
…10100101010001
321001202120000000
412002232211101
5201423102020
614020520213
72340462543
oct602564521
9231676000
10101378385
1152253099
1229b50069
1318007014
14d66d693
158d78090
hex60ae951

101378385 has 64 divisors (see below), whose sum is σ = 186408960. Its totient is φ = 52907904.

The previous prime is 101378383. The next prime is 101378413. The reversal of 101378385 is 583873101.

It is not a de Polignac number, because 101378385 - 21 = 101378383 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101378383) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 798192 + ... + 798318.

It is an arithmetic number, because the mean of its divisors is an integer number (2912640).

Almost surely, 2101378385 is an apocalyptic number.

101378385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101378385 is a deficient number, since it is larger than the sum of its proper divisors (85030575).

101378385 is an frugal number, since it uses more digits than its factorization.

101378385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 101378385 is about 10068.6833796679. The cubic root of 101378385 is about 466.2817912278.

The spelling of 101378385 in words is "one hundred one million, three hundred seventy-eight thousand, three hundred eighty-five".

Divisors: 1 3 5 9 15 27 45 73 81 127 135 219 243 365 381 405 635 657 729 1095 1143 1215 1905 1971 2187 3285 3429 3645 5715 5913 9271 9855 10287 10935 17145 17739 27813 29565 30861 46355 51435 53217 83439 88695 92583 139065 154305 159651 250317 266085 277749 417195 462915 750951 798255 1251585 1388745 2252853 3754755 6758559 11264265 20275677 33792795 101378385