Search a number
-
+
101422125 = 3753753
BaseRepresentation
bin1100000101110…
…01010000101101
321001211210000000
412002321100231
5201431002000
614021454513
72341034220
oct602712055
9231753000
10101422125
1152282a42
1229b71439
1318020bbc
14d6815b7
158d86000
hex60b942d

101422125 has 128 divisors (see below), whose sum is σ = 221045760. Its totient is φ = 45489600.

The previous prime is 101422117. The next prime is 101422127. The reversal of 101422125 is 521224101.

It is not a de Polignac number, because 101422125 - 23 = 101422117 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101422098 and 101422107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101422127) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1913599 + ... + 1913651.

It is an arithmetic number, because the mean of its divisors is an integer number (1726920).

Almost surely, 2101422125 is an apocalyptic number.

101422125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101422125 is an abundant number, since it is smaller than the sum of its proper divisors (119623635).

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

101422125 is an frugal number, since it uses more digits than its factorization.

101422125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 101422125 is about 10070.8552268415. The cubic root of 101422125 is about 466.3488411322.

Adding to 101422125 its reverse (521224101), we get a palindrome (622646226).

The spelling of 101422125 in words is "one hundred one million, four hundred twenty-two thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 53 63 75 81 105 125 135 159 175 189 225 243 265 315 371 375 405 477 525 567 675 729 795 875 945 1113 1125 1215 1325 1431 1575 1701 1855 2025 2187 2385 2625 2835 3339 3375 3645 3975 4293 4725 5103 5565 6075 6625 7155 7875 8505 9275 10017 10125 10935 11925 12879 14175 15309 16695 18225 19875 21465 23625 25515 27825 30051 30375 35775 38637 42525 46375 50085 54675 59625 64395 70875 76545 83475 90153 91125 107325 115911 127575 139125 150255 178875 193185 212625 250425 270459 273375 321975 382725 417375 450765 536625 579555 637875 751275 811377 965925 1252125 1352295 1609875 1913625 2253825 2897775 3756375 4056885 4829625 6761475 11269125 14488875 20284425 33807375 101422125