Search a number
-
+
100222340004 = 22323775241997
BaseRepresentation
bin101110101010110110…
…1111000101110100100
3100120200200000101101200
41131111231320232210
53120223404340004
6114012544322500
710145413556043
oct1352555705644
9316620011350
10100222340004
113955a997476
1217510313430
1395b28b9287
144bca7ba55a
152918a08239
hex1755b78ba4

100222340004 has 36 divisors (see below), whose sum is σ = 260186829084. Its totient is φ = 32504542272.

The previous prime is 100222340003. The next prime is 100222340017. The reversal of 100222340004 is 400043222001.

100222340004 is a `hidden beast` number, since 100 + 222 + 340 + 0 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 97280362404 + 2941977600 = 311898^2 + 54240^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100222340003) 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, 37619667 + ... + 37622330.

It is an arithmetic number, because the mean of its divisors is an integer number (7227411919).

Almost surely, 2100222340004 is an apocalyptic number.

It is an amenable number.

100222340004 is an abundant number, since it is smaller than the sum of its proper divisors (159964489080).

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

100222340004 is a wasteful number, since it uses less digits than its factorization.

100222340004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75242044 (or 75242039 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 100222340004 its reverse (400043222001), we get a palindrome (500265562005).

The spelling of 100222340004 in words is "one hundred billion, two hundred twenty-two million, three hundred forty thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 75241997 150483994 225725991 300967988 451451982 677177973 902903964 1354355946 2708711892 2783953889 5567907778 8351861667 11135815556 16703723334 25055585001 33407446668 50111170002 100222340004