Search a number
-
+
100306372248 = 23331932406121
BaseRepresentation
bin101110101101010111…
…0011100011010011000
3100120220112010122222000
41131122232130122120
53120411412402443
6114025145401000
710150454045025
oct1353256343230
9316815118860
10100306372248
11395a3372105
1217534499160
1395c712bab4
144bd7a1254c
1529210a68d3
hex175ab9c698

100306372248 has 64 divisors (see below), whose sum is σ = 280072600800. Its totient is φ = 33262202880.

The previous prime is 100306372213. The next prime is 100306372253. The reversal of 100306372248 is 842273603001.

It is a happy number.

100306372248 is a `hidden beast` number, since 10 + 0 + 3 + 0 + 637 + 2 + 2 + 4 + 8 = 666.

It is a super-2 number, since 2×1003063722482 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1161373 + ... + 1244748.

Almost surely, 2100306372248 is an apocalyptic number.

100306372248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

100306372248 is an abundant number, since it is smaller than the sum of its proper divisors (179766228552).

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

100306372248 is a wasteful number, since it uses less digits than its factorization.

100306372248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2406329 (or 2406319 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 100306372248 its reverse (842273603001), we get a palindrome (942579975249).

It can be divided in two parts, 1003063 and 72248, that added together give a triangular number (1075311 = T1466).

The spelling of 100306372248 in words is "one hundred billion, three hundred six million, three hundred seventy-two thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 193 216 386 579 772 1158 1544 1737 2316 3474 4632 5211 6948 10422 13896 20844 41688 2406121 4812242 7218363 9624484 14436726 19248968 21655089 28873452 43310178 57746904 64965267 86620356 129930534 173240712 259861068 464381353 519722136 928762706 1393144059 1857525412 2786288118 3715050824 4179432177 5572576236 8358864354 11145152472 12538296531 16717728708 25076593062 33435457416 50153186124 100306372248