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101033412 = 22319443129
BaseRepresentation
bin1100000010110…
…10010111000100
321001010000210020
412001122113010
5201331032122
614005255140
72334525024
oct601322704
9231100706
10101033412
1152037997
1229a044b0
1317c15cac
14d5bda84
158d0ac5c
hex605a5c4

101033412 has 24 divisors (see below), whose sum is σ = 248152800. Its totient is φ = 31905216.

The previous prime is 101033381. The next prime is 101033417. The reversal of 101033412 is 214330101.

It is a junction number, because it is equal to n+sod(n) for n = 101033391 and 101033400.

It is not an unprimeable number, because it can be changed into a prime (101033417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 221337 + ... + 221792.

It is an arithmetic number, because the mean of its divisors is an integer number (10339700).

Almost surely, 2101033412 is an apocalyptic number.

101033412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101033412 is an abundant number, since it is smaller than the sum of its proper divisors (147119388).

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

101033412 is a wasteful number, since it uses less digits than its factorization.

101033412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443155 (or 443153 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 101033412 is about 10051.5377927957. The cubic root of 101033412 is about 465.7522982545.

Adding to 101033412 its reverse (214330101), we get a palindrome (315363513).

The spelling of 101033412 in words is "one hundred one million, thirty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 443129 886258 1329387 1772516 2658774 5317548 8419451 16838902 25258353 33677804 50516706 101033412