Search a number
-
+
124120100 = 225213307311
BaseRepresentation
bin1110110010111…
…10110000100100
322122112221202202
413121132300210
5223233320400
620152154032
73035001116
oct731366044
9278487682
10124120100
11640762a5
1235698918
131c93a360
14126ad3b6
15ad6b4d5
hex765ec24

124120100 has 72 divisors (see below), whose sum is σ = 291939648. Its totient is φ = 45532800.

The previous prime is 124120093. The next prime is 124120123. The reversal of 124120100 is 1021421.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 398945 + ... + 399255.

Almost surely, 2124120100 is an apocalyptic number.

124120100 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 124120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145969824).

124120100 is an abundant number, since it is smaller than the sum of its proper divisors (167819548).

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

124120100 is a wasteful number, since it uses less digits than its factorization.

124120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 124120100 is about 11140.9200697249. The cubic root of 124120100 is about 498.8240363875.

Adding to 124120100 its reverse (1021421), we get a palindrome (125141521).

The spelling of 124120100 in words is "one hundred twenty-four million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 307 311 325 614 622 650 1228 1244 1300 1535 1555 3070 3110 3991 4043 6140 6220 7675 7775 7982 8086 15350 15550 15964 16172 19955 20215 30700 31100 39910 40430 79820 80860 95477 99775 101075 190954 199550 202150 381908 399100 404300 477385 954770 1241201 1909540 2386925 2482402 4773850 4964804 6206005 9547700 12412010 24824020 31030025 62060050 124120100