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103011381 = 32111797631
BaseRepresentation
bin1100010001111…
…01010000110101
321011211112001100
412020331100311
5202332331011
614115520313
72360403504
oct610752065
9234745040
10103011381
1153168a80
122a5b9099
13184593a5
14d97683b
15909bd56
hex623d435

103011381 has 48 divisors (see below), whose sum is σ = 173916288. Its totient is φ = 58060800.

The previous prime is 103011379. The next prime is 103011409. The reversal of 103011381 is 183110301.

It is a happy number.

It is not a de Polignac number, because 103011381 - 21 = 103011379 is a prime.

It is a super-2 number, since 2×1030113812 = 21222689231054322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103011301) 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 47 ways as a sum of consecutive naturals, for example, 162936 + ... + 163566.

It is an arithmetic number, because the mean of its divisors is an integer number (3623256).

Almost surely, 2103011381 is an apocalyptic number.

103011381 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103011381 is a deficient number, since it is larger than the sum of its proper divisors (70904907).

103011381 is a wasteful number, since it uses less digits than its factorization.

103011381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 103011381 is about 10149.4522512301. The cubic root of 103011381 is about 468.7720791733.

Adding to 103011381 its reverse (183110301), we get a palindrome (286121682).

The spelling of 103011381 in words is "one hundred three million, eleven thousand, three hundred eighty-one".

Divisors: 1 3 9 11 17 33 51 97 99 153 187 291 561 631 873 1067 1649 1683 1893 3201 4947 5679 6941 9603 10727 14841 18139 20823 32181 54417 61207 62469 96543 117997 163251 183621 353991 550863 673277 1040519 1061973 2019831 3121557 6059493 9364671 11445709 34337127 103011381