Search a number
-
+
100198803240 = 23325278330009
BaseRepresentation
bin101110101010001010…
…0000110011100101000
3100120122000201121000200
41131110110012130220
53120201343200430
6114010344032200
710145006526534
oct1352424063450
9316560647020
10100198803240
11395486809a8
1217504462660
1395aaa680b3
144bc7610bc4
152916909460
hex1754506728

100198803240 has 48 divisors (see below), whose sum is σ = 325646111700. Its totient is φ = 26719680768.

The previous prime is 100198803239. The next prime is 100198803247. The reversal of 100198803240 is 42308891001.

It can be written as a sum of positive squares in 2 ways, for example, as 95826155364 + 4372647876 = 309558^2 + 66126^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 100198803195 and 100198803204.

It is not an unprimeable number, because it can be changed into a prime (100198803247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139164645 + ... + 139165364.

Almost surely, 2100198803240 is an apocalyptic number.

100198803240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100198803240 is an abundant number, since it is smaller than the sum of its proper divisors (225447308460).

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

100198803240 is a wasteful number, since it uses less digits than its factorization.

100198803240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278330026 (or 278330019 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 100198803240 in words is "one hundred billion, one hundred ninety-eight million, eight hundred three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 278330009 556660018 834990027 1113320036 1391650045 1669980054 2226640072 2504970081 2783300090 3339960108 4174950135 5009940162 5566600180 6679920216 8349900270 10019880324 11133200360 12524850405 16699800540 20039760648 25049700810 33399601080 50099401620 100198803240