Search a number
-
+
101371068 = 22331755213
BaseRepresentation
bin1100000101011…
…00110010111100
321001202011222000
412002230302330
5201422333233
614020422300
72340432321
oct602546274
9231664860
10101371068
1152248647
1229b47990
13180038a6
14d66ab48
158d75d13
hex60accbc

101371068 has 48 divisors (see below), whose sum is σ = 278278560. Its totient is φ = 31802112.

The previous prime is 101371063. The next prime is 101371069. The reversal of 101371068 is 860173101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101371063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25771 + ... + 29442.

It is an arithmetic number, because the mean of its divisors is an integer number (5797470).

Almost surely, 2101371068 is an apocalyptic number.

101371068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101371068 is an abundant number, since it is smaller than the sum of its proper divisors (176907492).

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

101371068 is a wasteful number, since it uses less digits than its factorization.

101371068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55243 (or 55235 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 101371068 is about 10068.3200187519. The cubic root of 101371068 is about 466.2705729721.

The spelling of 101371068 in words is "one hundred one million, three hundred seventy-one thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1836 55213 110426 165639 220852 331278 496917 662556 938621 993834 1490751 1877242 1987668 2815863 2981502 3754484 5631726 5963004 8447589 11263452 16895178 25342767 33790356 50685534 101371068