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100424709 = 327111929263
BaseRepresentation
bin1011111110001…
…01110000000101
320222222002210200
411333011300011
5201202042314
613544241113
72326411260
oct577056005
9228862720
10100424709
1151761630
1229770199
1317a61c08
14d4a1cd7
158c3a709
hex5fc5c05

100424709 has 96 divisors (see below), whose sum is σ = 197683200. Its totient is φ = 47537280.

The previous prime is 100424707. The next prime is 100424749. The reversal of 100424709 is 907424001.

It is a happy number.

It is not a de Polignac number, because 100424709 - 21 = 100424707 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100424707) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 381712 + ... + 381974.

It is an arithmetic number, because the mean of its divisors is an integer number (2059200).

Almost surely, 2100424709 is an apocalyptic number.

100424709 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

100424709 is a deficient number, since it is larger than the sum of its proper divisors (97258491).

100424709 is a wasteful number, since it uses less digits than its factorization.

100424709 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 100424709 is about 10021.2129505365. The cubic root of 100424709 is about 464.8150634682.

The spelling of 100424709 in words is "one hundred million, four hundred twenty-four thousand, seven hundred nine".

Divisors: 1 3 7 9 11 19 21 29 33 57 63 77 87 99 133 171 203 209 231 261 263 319 399 551 609 627 693 789 957 1197 1463 1653 1827 1841 1881 2233 2367 2871 2893 3857 4389 4959 4997 5523 6061 6699 7627 8679 11571 13167 14991 16569 18183 20097 20251 22881 26037 34713 34979 42427 44973 53389 54549 54967 60753 68643 83897 104937 127281 144913 160167 164901 182259 251691 314811 381843 384769 434739 480501 494703 587279 755073 1014391 1154307 1304217 1594043 1761837 3043173 3462921 4782129 5285511 9129519 11158301 14346387 33474903 100424709