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101412003 = 3711443991
BaseRepresentation
bin1100000101101…
…10110010100011
321001211021010010
412002312302203
5201430141003
614021340003
72340662550
oct602666243
9231737103
10101412003
1152276380
1229b67603
1318019404
14d67ba27
158d83003
hex60b6ca3

101412003 has 32 divisors (see below), whose sum is σ = 169132032. Its totient is φ = 52509600.

The previous prime is 101411957. The next prime is 101412013. The reversal of 101412003 is 300214101.

It is a happy number.

It is not a de Polignac number, because 101412003 - 26 = 101411939 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101412003.

It is not an unprimeable number, because it can be changed into a prime (101412013) 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 31 ways as a sum of consecutive naturals, for example, 101838 + ... + 102828.

It is an arithmetic number, because the mean of its divisors is an integer number (5285376).

Almost surely, 2101412003 is an apocalyptic number.

101412003 is a deficient number, since it is larger than the sum of its proper divisors (67720029).

101412003 is a wasteful number, since it uses less digits than its factorization.

101412003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 101412003 is about 10070.3526750556. The cubic root of 101412003 is about 466.3333266344. Note that the first 4 decimals are identical.

Adding to 101412003 its reverse (300214101), we get a palindrome (401626104).

The spelling of 101412003 in words is "one hundred one million, four hundred twelve thousand, three".

Divisors: 1 3 7 11 21 33 77 231 443 991 1329 2973 3101 4873 6937 9303 10901 14619 20811 32703 34111 76307 102333 228921 439013 1317039 3073091 4829143 9219273 14487429 33804001 101412003