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10233000030 = 23511299291151
BaseRepresentation
bin10011000011110111…
…10011000001011110
3222102011012021002010
421201323303001132
5131424122000110
64411224412050
7511404031221
oct114173630136
928364167063
1010233000030
114381297420
121b97017026
13c7105a106
146d10955b8
153ed585020
hex261ef305e

10233000030 has 128 divisors (see below), whose sum is σ = 27769651200. Its totient is φ = 2390528000.

The previous prime is 10233000023. The next prime is 10233000079. The reversal of 10233000030 is 3000033201.

It is a happy number.

It is a super-2 number, since 2×102330000302 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8889955 + ... + 8891105.

It is an arithmetic number, because the mean of its divisors is an integer number (216950400).

Almost surely, 210233000030 is an apocalyptic number.

10233000030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10233000030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13884825600).

10233000030 is an abundant number, since it is smaller than the sum of its proper divisors (17536651170).

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

10233000030 is a wasteful number, since it uses less digits than its factorization.

10233000030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2130.

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 10233000030 its reverse (3000033201), we get a palindrome (13233033231).

The spelling of 10233000030 in words is "ten billion, two hundred thirty-three million, thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 87 110 145 165 174 290 319 330 435 638 870 929 957 1151 1595 1858 1914 2302 2787 3190 3453 4645 4785 5574 5755 6906 9290 9570 10219 11510 12661 13935 17265 20438 25322 26941 27870 30657 33379 34530 37983 51095 53882 61314 63305 66758 75966 80823 100137 102190 126610 134705 153285 161646 166895 189915 200274 269410 296351 306570 333790 367169 379830 404115 500685 592702 734338 808230 889053 1001370 1069279 1101507 1481755 1778106 1835845 2138558 2203014 2963510 3207837 3671690 4445265 5346395 5507535 6415674 8890530 10692790 11015070 11762069 16039185 23524138 31009091 32078370 35286207 58810345 62018182 70572414 93027273 117620690 155045455 176431035 186054546 310090910 341100001 352862070 465136365 682200002 930272730 1023300003 1705500005 2046600006 3411000010 5116500015 10233000030