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100001210322 = 23132473476047
BaseRepresentation
bin101110100100010001…
…0010101111111010010
3100120010020220211111110
41131020202111333102
53114300302212242
6113535004554150
710140060156066
oct1351042257722
9316106824443
10100001210322
1139457092472
121746a252956
139578b44600
144ba9297aa6
1529043c839c
hex1748895fd2

100001210322 has 96 divisors (see below), whose sum is σ = 221852639232. Its totient is φ = 30023178432.

The previous prime is 100001210303. The next prime is 100001210339. The reversal of 100001210322 is 223012100001.

It is a junction number, because it is equal to n+sod(n) for n = 100001210298 and 100001210307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16534303 + ... + 16540349.

It is an arithmetic number, because the mean of its divisors is an integer number (2310964992).

Almost surely, 2100001210322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100001210322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110926319616).

100001210322 is an abundant number, since it is smaller than the sum of its proper divisors (121851428910).

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

100001210322 is a wasteful number, since it uses less digits than its factorization.

100001210322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6472 (or 6459 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100001210322 its reverse (223012100001), we get a palindrome (323013310323).

The spelling of 100001210322 in words is "one hundred billion, one million, two hundred ten thousand, three hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 47 78 94 141 169 282 338 347 507 611 694 1014 1041 1222 1833 2082 3666 4511 6047 7943 9022 12094 13533 15886 16309 18141 23829 27066 32618 36282 47658 48927 58643 78611 97854 117286 157222 175929 212017 235833 284209 351858 424034 471666 568418 636051 852627 1021943 1272102 1705254 2043886 2098309 2756221 3065829 3694717 4196618 5512442 6131658 6294927 7389434 8268663 11084151 12589854 16537326 22168302 27278017 48031321 54556034 81834051 96062642 98620523 144093963 163668102 197241046 288187926 295861569 354614221 591723138 709228442 1063842663 1282066799 2127685326 2564133598 3846200397 7692400794 16666868387 33333736774 50000605161 100001210322