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100809423 = 321113293773
BaseRepresentation
bin1100000001000…
…11101011001111
321000200122112100
412000203223033
5201301400143
614000410143
72332603011
oct600435317
9230618470
10100809423
11519a4680
1229916953
1317b68060
14d5621b1
158cb46d3
hex6023acf

100809423 has 96 divisors (see below), whose sum is σ = 184242240. Its totient is φ = 52254720.

The previous prime is 100809409. The next prime is 100809463. The reversal of 100809423 is 324908001.

It is not a de Polignac number, because 100809423 - 210 = 100808399 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100809463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1380915 + ... + 1380987.

It is an arithmetic number, because the mean of its divisors is an integer number (1919190).

Almost surely, 2100809423 is an apocalyptic number.

100809423 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100809423 is a deficient number, since it is larger than the sum of its proper divisors (83432817).

100809423 is a wasteful number, since it uses less digits than its factorization.

100809423 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 100809423 is about 10040.3895840749. The cubic root of 100809423 is about 465.4078558276.

It can be divided in two parts, 10080 and 9423, that added together give a triangular number (19503 = T197).

The spelling of 100809423 in words is "one hundred million, eight hundred nine thousand, four hundred twenty-three".

Divisors: 1 3 9 11 13 29 33 37 39 73 87 99 111 117 143 219 261 319 333 377 407 429 481 657 803 949 957 1073 1131 1221 1287 1443 2117 2409 2701 2847 2871 3219 3393 3663 4147 4329 5291 6351 7227 8103 8541 9657 10439 11803 12441 13949 15873 19053 23287 24309 27521 29711 31317 35113 35409 37323 41847 47619 69861 78329 82563 89133 93951 105339 106227 125541 153439 209583 234987 247689 267399 302731 316017 386243 460317 704961 861619 908193 1018277 1158729 1380951 2584857 2724579 3054831 3476187 7754571 9164493 11201047 33603141 100809423