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101403828 = 22323776129
BaseRepresentation
bin1100000101101…
…00110010110100
321001210211220100
412002310302310
5201424410303
614021234100
72340626661
oct602646264
9231724810
10101403828
1152270219
1229b62930
1318015786
14d678a68
158d808a3
hex60b4cb4

101403828 has 36 divisors (see below), whose sum is σ = 263257540. Its totient is φ = 32887296.

The previous prime is 101403773. The next prime is 101403853. The reversal of 101403828 is 828304101.

It can be written as a sum of positive squares in 2 ways, for example, as 91929744 + 9474084 = 9588^2 + 3078^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36733 + ... + 39396.

Almost surely, 2101403828 is an apocalyptic number.

101403828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101403828 is an abundant number, since it is smaller than the sum of its proper divisors (161853712).

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

101403828 is a wasteful number, since it uses less digits than its factorization.

101403828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76176 (or 76171 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 101403828 is about 10069.9467724512. The cubic root of 101403828 is about 466.3207956477.

Adding to 101403828 its reverse (828304101), we get a palindrome (929707929).

The spelling of 101403828 in words is "one hundred one million, four hundred three thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 76129 152258 228387 304516 456774 685161 913548 1370322 2740644 2816773 5633546 8450319 11267092 16900638 25350957 33801276 50701914 101403828