Search a number
-
+
100444301430 = 235112811083191
BaseRepresentation
bin101110110001011110…
…0100110100001110110
3100121021010200012020020
41131202330212201312
53121202220121210
6114050553550010
710154050321644
oct1354274464166
9317233605206
10100444301430
113966420a370
1217572715306
1396198926b5
144c0c078194
15292d24e770
hex1762f26876

100444301430 has 64 divisors (see below), whose sum is σ = 263917564416. Its totient is φ = 24263456000.

The previous prime is 100444301411. The next prime is 100444301431. The reversal of 100444301430 is 34103444001.

It is a self number, because there is not a number n which added to its sum of digits gives 100444301430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100444301431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 448866 + ... + 634325.

It is an arithmetic number, because the mean of its divisors is an integer number (4123711944).

Almost surely, 2100444301430 is an apocalyptic number.

100444301430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100444301430 is an abundant number, since it is smaller than the sum of its proper divisors (163473262986).

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

100444301430 is a wasteful number, since it uses less digits than its factorization.

100444301430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083493.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 100444301430 its reverse (34103444001), we get a palindrome (134547745431).

The spelling of 100444301430 in words is "one hundred billion, four hundred forty-four million, three hundred one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 281 330 562 843 1405 1686 2810 3091 4215 6182 8430 9273 15455 18546 30910 46365 92730 1083191 2166382 3249573 5415955 6499146 10831910 11915101 16247865 23830202 32495730 35745303 59575505 71490606 119151010 178726515 304376671 357453030 608753342 913130013 1521883355 1826260026 3043766710 3348143381 4565650065 6696286762 9131300130 10044430143 16740716905 20088860286 33481433810 50222150715 100444301430