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101000404 = 2253289101
BaseRepresentation
bin1100000010100…
…10010011010100
321001001100111201
412001102103110
5201324003104
614004442244
72334326551
oct601222324
9231040451
10101000404
115201510a
12299a9384
1317c03c6b
14d5b1a28
158d010a4
hex60524d4

101000404 has 36 divisors (see below), whose sum is σ = 183976380. Its totient is φ = 48505600.

The previous prime is 101000401. The next prime is 101000407. The reversal of 101000404 is 404000101.

It is an interprime number because it is at equal distance from previous prime (101000401) and next prime (101000407).

It can be written as a sum of positive squares in 6 ways, for example, as 12264004 + 88736400 = 3502^2 + 9420^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 999954 + ... + 1000054.

It is an arithmetic number, because the mean of its divisors is an integer number (5110455).

Almost surely, 2101000404 is an apocalyptic number.

It is an amenable number.

101000404 is a deficient number, since it is larger than the sum of its proper divisors (82975976).

101000404 is a wasteful number, since it uses less digits than its factorization.

101000404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 101000404 is about 10049.8957208520. The cubic root of 101000404 is about 465.7015717142.

Multiplying 101000404 by its sum of digits (10), we get a triangular number (1010004040 = T44944).

Adding to 101000404 its reverse (404000101), we get a palindrome (505000505).

The spelling of 101000404 in words is "one hundred one million, four hundred four", and thus it is an aban number.

Divisors: 1 2 4 53 89 101 106 178 202 212 356 404 2809 4717 5353 5618 8989 9434 10706 11236 17978 18868 21412 35956 250001 283709 476417 500002 567418 952834 1000004 1134836 1905668 25250101 50500202 101000404