Search a number
-
+
101422104 = 23372332591
BaseRepresentation
bin1100000101110…
…01010000011000
321001211202222020
412002321100120
5201431001404
614021454440
72341034160
oct602712030
9231752866
10101422104
1152282a23
1229b71420
1318020ba4
14d6815a0
158d85ed9
hex60b9418

101422104 has 64 divisors (see below), whose sum is σ = 291133440. Its totient is φ = 28842240.

The previous prime is 101422093. The next prime is 101422109. The reversal of 101422104 is 401224101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101422109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37849 + ... + 40439.

It is an arithmetic number, because the mean of its divisors is an integer number (4548960).

Almost surely, 2101422104 is an apocalyptic number.

101422104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101422104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145566720).

101422104 is an abundant number, since it is smaller than the sum of its proper divisors (189711336).

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

101422104 is a wasteful number, since it uses less digits than its factorization.

101422104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2840 (or 2836 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 101422104 is about 10070.8541842289. The cubic root of 101422104 is about 466.3488089456.

Adding to 101422104 its reverse (401224101), we get a palindrome (502646205).

It can be divided in two parts, 10142 and 2104, that added together give a triangular number (12246 = T156).

The spelling of 101422104 in words is "one hundred one million, four hundred twenty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 233 466 699 932 1398 1631 1864 2591 2796 3262 4893 5182 5592 6524 7773 9786 10364 13048 15546 18137 19572 20728 31092 36274 39144 54411 62184 72548 108822 145096 217644 435288 603703 1207406 1811109 2414812 3622218 4225921 4829624 7244436 8451842 12677763 14488872 16903684 25355526 33807368 50711052 101422104