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100768041 = 32111017859
BaseRepresentation
bin1100000000110…
…01100100101001
321000121112202200
412000121210221
5201244034131
613555450413
72332341243
oct600314451
9230545680
10100768041
1151976580
12298b6a09
1317b5227a
14d551093
158ca72e6
hex6019929

100768041 has 12 divisors (see below), whose sum is σ = 158786160. Its totient is φ = 61071480.

The previous prime is 100768013. The next prime is 100768051. The reversal of 100768041 is 140867001.

It is a happy number.

It is not a de Polignac number, because 100768041 - 25 = 100768009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100767996 and 100768014.

It is not an unprimeable number, because it can be changed into a prime (100768051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 508831 + ... + 509028.

It is an arithmetic number, because the mean of its divisors is an integer number (13232180).

Almost surely, 2100768041 is an apocalyptic number.

100768041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100768041 is a deficient number, since it is larger than the sum of its proper divisors (58018119).

100768041 is a wasteful number, since it uses less digits than its factorization.

100768041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017876 (or 1017873 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 100768041 is about 10038.3285959367. The cubic root of 100768041 is about 465.3441642161.

The spelling of 100768041 in words is "one hundred million, seven hundred sixty-eight thousand, forty-one".

Divisors: 1 3 9 11 33 99 1017859 3053577 9160731 11196449 33589347 100768041