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101425120 = 2551633889
BaseRepresentation
bin1100000101110…
…01111111100000
321001211221002221
412002321333200
5201431100440
614021520424
72341046026
oct602717740
9231757087
10101425120
1152285215
1229b73114
1318022384
14d682716
158d86d4a
hex60b9fe0

101425120 has 48 divisors (see below), whose sum is σ = 241148880. Its totient is φ = 40310784.

The previous prime is 101425117. The next prime is 101425123. The reversal of 101425120 is 21524101.

It is an interprime number because it is at equal distance from previous prime (101425117) and next prime (101425123).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 101425094 and 101425103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101425123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24136 + ... + 28024.

It is an arithmetic number, because the mean of its divisors is an integer number (5023935).

Almost surely, 2101425120 is an apocalyptic number.

101425120 is a gapful number since it is divisible by the number (10) 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 101425120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120574440).

101425120 is an abundant number, since it is smaller than the sum of its proper divisors (139723760).

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

101425120 is a wasteful number, since it uses less digits than its factorization.

101425120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4067 (or 4059 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 101425120 is about 10071.0039221520. The cubic root of 101425120 is about 466.3534315213.

Adding to 101425120 its reverse (21524101), we get a palindrome (122949221).

The spelling of 101425120 in words is "one hundred one million, four hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 163 326 652 815 1304 1630 2608 3260 3889 5216 6520 7778 13040 15556 19445 26080 31112 38890 62224 77780 124448 155560 311120 622240 633907 1267814 2535628 3169535 5071256 6339070 10142512 12678140 20285024 25356280 50712560 101425120