Search a number
-
+
100301430 = 23529313719
BaseRepresentation
bin1011111101001…
…11101001110110
320222201211200210
411332213221312
5201134121210
613541450250
72325355665
oct576475166
9228654623
10100301430
1151687a49
1229710986
1317a1aa78
14d46cddc
158c13e20
hex5fa7a76

100301430 has 64 divisors (see below), whose sum is σ = 257126400. Its totient is φ = 24984960.

The previous prime is 100301429. The next prime is 100301447. The reversal of 100301430 is 34103001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25111 + ... + 28829.

It is an arithmetic number, because the mean of its divisors is an integer number (4017600).

Almost surely, 2100301430 is an apocalyptic number.

100301430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100301430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128563200).

100301430 is an abundant number, since it is smaller than the sum of its proper divisors (156824970).

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

100301430 is a wasteful number, since it uses less digits than its factorization.

100301430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3789.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 100301430 is about 10015.0601595797. The cubic root of 100301430 is about 464.6247869240.

Adding to 100301430 its reverse (34103001), we get a palindrome (134404431).

The spelling of 100301430 in words is "one hundred million, three hundred one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 31 58 62 87 93 145 155 174 186 290 310 435 465 870 899 930 1798 2697 3719 4495 5394 7438 8990 11157 13485 18595 22314 26970 37190 55785 107851 111570 115289 215702 230578 323553 345867 539255 576445 647106 691734 1078510 1152890 1617765 1729335 3235530 3343381 3458670 6686762 10030143 16716905 20060286 33433810 50150715 100301430