Search a number
-
+
100130420 = 225131033739
BaseRepresentation
bin1011111011111…
…01111001110100
320222102011010002
411331331321310
5201113133140
613534050432
72324044265
oct575757164
9228364102
10100130420
1151580515
1229649a18
131798ac90
14d42696c
158bcd415
hex5f7de74

100130420 has 48 divisors (see below), whose sum is σ = 228708480. Its totient is φ = 36602496.

The previous prime is 100130419. The next prime is 100130441. The reversal of 100130420 is 24031001.

It is a happy number.

It is a super-2 number, since 2×1001304202 = 20052202018752800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24911 + ... + 28649.

It is an arithmetic number, because the mean of its divisors is an integer number (4764760).

Almost surely, 2100130420 is an apocalyptic number.

100130420 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 100130420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114354240).

100130420 is an abundant number, since it is smaller than the sum of its proper divisors (128578060).

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

100130420 is a wasteful number, since it uses less digits than its factorization.

100130420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3864 (or 3862 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 100130420 is about 10006.5188752133. The cubic root of 100130420 is about 464.3605810405.

Adding to 100130420 its reverse (24031001), we get a palindrome (124161421).

The spelling of 100130420 in words is "one hundred million, one hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 103 130 206 260 412 515 1030 1339 2060 2678 3739 5356 6695 7478 13390 14956 18695 26780 37390 48607 74780 97214 194428 243035 385117 486070 770234 972140 1540468 1925585 3851170 5006521 7702340 10013042 20026084 25032605 50065210 100130420