Search a number
-
+
100023321232 = 2419239174421
BaseRepresentation
bin101110100100111011…
…0101100001010010000
3100120011210112011222001
41131021312230022100
53114321432234412
6113541114523344
710140446126302
oct1351166541220
9316153464861
10100023321232
113946861474a
1217475736554
1395805b67a3
144bac1b1972
1529062e4957
hex1749dac290

100023321232 has 60 divisors (see below), whose sum is σ = 204630252156. Its totient is φ = 47356657920.

The previous prime is 100023321199. The next prime is 100023321253. The reversal of 100023321232 is 232123320001.

It can be written as a sum of positive squares in 2 ways, for example, as 82050165136 + 17973156096 = 286444^2 + 134064^2 .

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 22622382 + ... + 22626802.

Almost surely, 2100023321232 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 100023321232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102315126078).

100023321232 is an abundant number, since it is smaller than the sum of its proper divisors (104606930924).

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

100023321232 is a wasteful number, since it uses less digits than its factorization.

100023321232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8384 (or 8359 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 100023321232 its reverse (232123320001), we get a palindrome (332146641233).

The spelling of 100023321232 in words is "one hundred billion, twenty-three million, three hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 19 38 76 152 304 361 722 1444 2888 3917 4421 5776 7834 8842 15668 17684 31336 35368 62672 70736 74423 83999 148846 167998 297692 335996 595384 671992 1190768 1343984 1414037 1595981 2828074 3191962 5656148 6383924 11312296 12767848 17317057 22624592 25535696 34634114 69268228 138536456 277072912 329024083 658048166 1316096332 2632192664 5264385328 6251457577 12502915154 25005830308 50011660616 100023321232