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100323003018 = 23737671138527
BaseRepresentation
bin101110101101110110…
…1111000101010001010
3100120221200102121002110
41131123231320222022
53120430142044033
6114030542043150
710151045312160
oct1353355705212
9316850377073
10100323003018
11396017a1047
1217539b794b6
1395ca7027a4
144bd9d01230
15292278e363
hex175bb78a8a

100323003018 has 128 divisors (see below), whose sum is σ = 241165836288. Its totient is φ = 27226450944.

The previous prime is 100323002971. The next prime is 100323003019. The reversal of 100323003018 is 810300323001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100323002985 and 100323003003.

It is not an unprimeable number, because it can be changed into a prime (100323003019) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11761071 + ... + 11769597.

It is an arithmetic number, because the mean of its divisors is an integer number (1884108096).

Almost surely, 2100323003018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100323003018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120582918144).

100323003018 is an abundant number, since it is smaller than the sum of its proper divisors (140842833270).

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

100323003018 is a wasteful number, since it uses less digits than its factorization.

100323003018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8756.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 100323003018 its reverse (810300323001), we get a palindrome (910623326019).

The spelling of 100323003018 in words is "one hundred billion, three hundred twenty-three million, three thousand, eighteen".

Divisors: 1 2 3 6 7 14 21 37 42 67 74 111 113 134 201 222 226 259 339 402 469 518 678 777 791 938 1407 1554 1582 2373 2479 2814 4181 4746 4958 7437 7571 8362 8527 12543 14874 15142 17054 17353 22713 25086 25581 29267 34706 45426 51162 52059 52997 58534 59689 87801 104118 105994 119378 158991 175602 179067 280127 315499 317982 358134 560254 571309 630998 840381 946497 963551 1142618 1680762 1713927 1892994 1927102 1960889 2208493 2890653 3427854 3921778 3999163 4416986 5781306 5882667 6625479 6744857 7998326 11765334 11997489 13250958 13489714 20234571 21138433 23994978 35651387 40469142 42276866 63415299 64557917 71302774 106954161 126830598 129115834 147969031 193673751 213908322 249559709 295938062 387347502 443907093 451905419 499119418 748679127 887814186 903810838 1355716257 1497358254 2388642929 2711432514 4777285858 7165928787 14331857574 16720500503 33441001006 50161501509 100323003018