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101202016 = 255359671
BaseRepresentation
bin1100000100000…
…11100001100000
321001102121001211
412002003201200
5201401431031
614013035504
72336126416
oct602034140
9231377054
10101202016
1152142633
1229a85b94
1317c74966
14d6252b6
158d40bb1
hex6083860

101202016 has 24 divisors (see below), whose sum is σ = 203004144. Its totient is φ = 49645440.

The previous prime is 101201953. The next prime is 101202019. The reversal of 101202016 is 610202101.

It is a junction number, because it is equal to n+sod(n) for n = 101201987 and 101202005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101202019) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28140 + ... + 31531.

It is an arithmetic number, because the mean of its divisors is an integer number (8458506).

Almost surely, 2101202016 is an apocalyptic number.

101202016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101202016 is an abundant number, since it is smaller than the sum of its proper divisors (101802128).

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

101202016 is an equidigital number, since it uses as much as digits as its factorization.

101202016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59734 (or 59726 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 101202016 is about 10059.9212720577. The cubic root of 101202016 is about 466.0112358911.

Adding to 101202016 its reverse (610202101), we get a palindrome (711404117).

It can be divided in two parts, 1012020 and 16, that added together give a square (1012036 = 10062).

The spelling of 101202016 in words is "one hundred one million, two hundred two thousand, sixteen".

Divisors: 1 2 4 8 16 32 53 106 212 424 848 1696 59671 119342 238684 477368 954736 1909472 3162563 6325126 12650252 25300504 50601008 101202016