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100242004330 = 25131745358373
BaseRepresentation
bin101110101011011100…
…0111001100101101010
3100120202001000102210001
41131112320321211222
53120243423114310
6114014530013214
710146042656326
oct1352670714552
9316661012701
10100242004330
113956aaa8586
1217516a1720a
1395b69b2980
144bcd258986
15291a5de93a
hex1756e3996a

100242004330 has 32 divisors (see below), whose sum is σ = 205745584464. Its totient is φ = 34835229696.

The previous prime is 100242004309. The next prime is 100242004351. The reversal of 100242004330 is 33400242001.

It is an interprime number because it is at equal distance from previous prime (100242004309) and next prime (100242004351).

It can be written as a sum of positive squares in 8 ways, for example, as 23885393401 + 76356610929 = 154549^2 + 276327^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100242004298 and 100242004307.

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, 22676977 + ... + 22681396.

Almost surely, 2100242004330 is an apocalyptic number.

100242004330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100242004330 is an abundant number, since it is smaller than the sum of its proper divisors (105503580134).

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

100242004330 is a wasteful number, since it uses less digits than its factorization.

100242004330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45358410.

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 100242004330 its reverse (33400242001), we get a palindrome (133642246331).

The spelling of 100242004330 in words is "one hundred billion, two hundred forty-two million, four thousand, three hundred thirty".

Divisors: 1 2 5 10 13 17 26 34 65 85 130 170 221 442 1105 2210 45358373 90716746 226791865 453583730 589658849 771092341 1179317698 1542184682 2948294245 3855461705 5896588490 7710923410 10024200433 20048400866 50121002165 100242004330