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100244314404 = 223213214197253
BaseRepresentation
bin101110101011100000…
…1101101100100100100
3100120202012100210121100
41131113001231210210
53120300021030104
6114015051320100
710146101420253
oct1352701554444
9316665323540
10100244314404
1139571336133
1217517750030
1395b7311290
144bcd69a79a
15291a8e9139
hex175706d924

100244314404 has 36 divisors (see below), whose sum is σ = 272887301596. Its totient is φ = 30844404288.

The previous prime is 100244314403. The next prime is 100244314411. The reversal of 100244314404 is 404413442001.

100244314404 is a `hidden beast` number, since 1 + 0 + 0 + 244 + 3 + 14 + 404 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6553226304 + 93691088100 = 80952^2 + 306090^2 .

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

It is not an unprimeable number, because it can be changed into a prime (100244314403) 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, 107098159 + ... + 107099094.

Almost surely, 2100244314404 is an apocalyptic number.

It is an amenable number.

100244314404 is an abundant number, since it is smaller than the sum of its proper divisors (172642987192).

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

100244314404 is a wasteful number, since it uses less digits than its factorization.

100244314404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214197276 (or 214197271 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 100244314404 its reverse (404413442001), we get a palindrome (504657756405).

The spelling of 100244314404 in words is "one hundred billion, two hundred forty-four million, three hundred fourteen thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 214197253 428394506 642591759 856789012 1285183518 1927775277 2570367036 2784564289 3855550554 5569128578 7711101108 8353692867 11138257156 16707385734 25061078601 33414771468 50122157202 100244314404