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103426323 = 371121331101
BaseRepresentation
bin1100010101000…
…10100100010011
321012121121020120
412022202210103
5202434120243
614132441323
72364052320
oct612424423
9235547216
10103426323
1153421800
122a779243
1318573210
14da43b47
15912ec83
hex62a2913

103426323 has 96 divisors (see below), whose sum is σ = 194482176. Its totient is φ = 47520000.

The previous prime is 103426319. The next prime is 103426333. The reversal of 103426323 is 323624301.

It is not a de Polignac number, because 103426323 - 22 = 103426319 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 103426293 and 103426302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103426333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1023973 + ... + 1024073.

It is an arithmetic number, because the mean of its divisors is an integer number (2025856).

Almost surely, 2103426323 is an apocalyptic number.

103426323 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

103426323 is a deficient number, since it is larger than the sum of its proper divisors (91055853).

103426323 is a wasteful number, since it uses less digits than its factorization.

103426323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 103426323 is about 10169.8733030456. The cubic root of 103426323 is about 469.4006590157.

It can be divided in two parts, 103 and 426323, that added together give a triangular number (426426 = T923).

The spelling of 103426323 in words is "one hundred three million, four hundred twenty-six thousand, three hundred twenty-three".

Divisors: 1 3 7 11 13 21 31 33 39 77 91 93 101 121 143 217 231 273 303 341 363 403 429 651 707 847 1001 1023 1111 1209 1313 1573 2121 2387 2541 2821 3003 3131 3333 3751 3939 4433 4719 7161 7777 8463 9191 9393 11011 11253 12221 13299 14443 21917 23331 26257 27573 31031 33033 34441 36663 40703 43329 48763 65751 78771 85547 93093 101101 103323 122109 146289 158873 241087 256641 284921 303303 341341 378851 447733 476619 723261 854763 1024023 1112111 1136553 1343199 2651957 3134131 3336333 4925063 7955871 9402393 14775189 34475441 103426323