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2101025124 = 22321123115559
BaseRepresentation
bin111110100111011…
…0001100101100100
312102102110010122100
41331032301211210
513300330300444
6544252132100
7103031263452
oct17516614544
95372403570
102101025124
11988a79300
124a7767030
13276389643
1415d0759d2
15c46bae69
hex7d3b1964

2101025124 has 108 divisors (see below), whose sum is σ = 6026325760. Its totient is φ = 616096800.

The previous prime is 2101025123. The next prime is 2101025167. The reversal of 2101025124 is 4215201012.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2101025097 and 2101025106.

It is not an unprimeable number, because it can be changed into a prime (2101025123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 127257 + ... + 142815.

Almost surely, 22101025124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101025124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3013162880).

2101025124 is an abundant number, since it is smaller than the sum of its proper divisors (3925300636).

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

2101025124 is a wasteful number, since it uses less digits than its factorization.

2101025124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15622 (or 15606 counting only the distinct ones).

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

The square root of 2101025124 is about 45836.9406047131. The cubic root of 2101025124 is about 1280.7875044931.

Adding to 2101025124 its reverse (4215201012), we get a palindrome (6316226136).

The spelling of 2101025124 in words is "two billion, one hundred one million, twenty-five thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 93 99 121 124 132 186 198 242 279 341 363 372 396 484 558 682 726 1023 1089 1116 1364 1452 2046 2178 3069 3751 4092 4356 6138 7502 11253 12276 15004 15559 22506 31118 33759 45012 46677 62236 67518 93354 135036 140031 171149 186708 280062 342298 482329 513447 560124 684596 964658 1026894 1446987 1540341 1882639 1929316 2053788 2893974 3080682 3765278 4340961 5305619 5647917 5787948 6161364 7530556 8681922 10611238 11295834 15916857 16943751 17363844 21222476 22591668 31833714 33887502 47750571 58361809 63667428 67775004 95501142 116723618 175085427 191002284 233447236 350170854 525256281 700341708 1050512562 2101025124