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100013323323 = 32967211233349
BaseRepresentation
bin101110100100101000…
…0100011010000111011
3100120011002201020102010
41131021100203100323
53114311402321243
6113540120341003
710140265136004
oct1351120432073
9316132636363
10100013323323
1139462a06111
1217472314763
13957b4c5b74
144baab2c1ab
1529054bc433
hex174942343b

100013323323 has 64 divisors (see below), whose sum is σ = 141680448000. Its totient is φ = 62664053760.

The previous prime is 100013323321. The next prime is 100013323331. The reversal of 100013323323 is 323323310001.

It is not a de Polignac number, because 100013323323 - 21 = 100013323321 is a prime.

It is a super-2 number, since 2×1000133233232 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100013323323.

It is not an unprimeable number, because it can be changed into a prime (100013323321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 286570953 + ... + 286571301.

It is an arithmetic number, because the mean of its divisors is an integer number (2213757000).

Almost surely, 2100013323323 is an apocalyptic number.

100013323323 is a deficient number, since it is larger than the sum of its proper divisors (41667124677).

100013323323 is a wasteful number, since it uses less digits than its factorization.

100013323323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 100013323323 its reverse (323323310001), we get a palindrome (423336633324).

The spelling of 100013323323 in words is "one hundred billion, thirteen million, three hundred twenty-three thousand, three hundred twenty-three".

Divisors: 1 3 29 67 87 201 211 233 349 633 699 1047 1943 5829 6119 6757 10121 14137 15611 18357 20271 23383 30363 42411 46833 49163 70149 73639 81317 147489 220917 243951 409973 452719 678107 1229919 1358157 1425727 2034321 2135531 2358193 3293921 4277181 4933813 5448239 6406593 7074579 9881763 14801439 16344717 17157887 51473661 95523709 143080577 157998931 286571127 429241731 473996793 497578723 1149578429 1492736169 3448735287 33337774441 100013323323