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101016496 = 2475915287
BaseRepresentation
bin1100000010101…
…10001110110000
321001002011120201
412001112032300
5201330011441
614005044544
72334424510
oct601261660
9231064521
10101016496
1152026209
12299b6754
1317c0b399
14d5b7840
158d05c31
hex60563b0

101016496 has 40 divisors (see below), whose sum is σ = 227485440. Its totient is φ = 42556224.

The previous prime is 101016481. The next prime is 101016511. The reversal of 101016496 is 694610101.

It is an interprime number because it is at equal distance from previous prime (101016481) and next prime (101016511).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

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, 1036 + ... + 14251.

It is an arithmetic number, because the mean of its divisors is an integer number (5687136).

Almost surely, 2101016496 is an apocalyptic number.

101016496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101016496 is an abundant number, since it is smaller than the sum of its proper divisors (126468944).

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

101016496 is a wasteful number, since it uses less digits than its factorization.

101016496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15361 (or 15355 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 101016496 is about 10050.6962942873. The cubic root of 101016496 is about 465.7263032051.

Adding to 101016496 its reverse (694610101), we get a palindrome (795626597).

The spelling of 101016496 in words is "one hundred one million, sixteen thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 56 59 112 118 236 413 472 826 944 1652 3304 6608 15287 30574 61148 107009 122296 214018 244592 428036 856072 901933 1712144 1803866 3607732 6313531 7215464 12627062 14430928 25254124 50508248 101016496