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30102032324 = 227131015691439
BaseRepresentation
bin11100000010001110…
…001000111111000100
32212200212021200102002
4130002032020333010
5443122110013244
621454555004432
72113646024120
oct340216107704
985625250362
1030102032324
11118478a3471
125a01139718
132ab956a960
141657c08580
15bb2a80a4e
hex702388fc4

30102032324 has 96 divisors (see below), whose sum is σ = 65637734400. Its totient is φ = 11761689600.

The previous prime is 30102032293. The next prime is 30102032327. The reversal of 30102032324 is 42323020103.

It is a super-5 number, since 5×301020323245 (a number of 54 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 30102032296 and 30102032305.

It is not an unprimeable number, because it can be changed into a prime (30102032327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20917997 + ... + 20919435.

It is an arithmetic number, because the mean of its divisors is an integer number (683726400).

Almost surely, 230102032324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30102032324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32818867200).

30102032324 is an abundant number, since it is smaller than the sum of its proper divisors (35535702076).

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

30102032324 is a wasteful number, since it uses less digits than its factorization.

30102032324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133 (or 2131 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 30102032324 its reverse (42323020103), we get a palindrome (72425052427).

The spelling of 30102032324 in words is "thirty billion, one hundred two million, thirty-two thousand, three hundred twenty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 101 182 202 364 404 569 707 1138 1313 1414 1439 2276 2626 2828 2878 3983 5252 5756 7397 7966 9191 10073 14794 15932 18382 18707 20146 29588 36764 37414 40292 51779 57469 74828 103558 114938 130949 145339 207116 229876 261898 290678 402283 523796 581356 747097 804566 818791 1017373 1494194 1609132 1637582 1889407 2034746 2988388 3275164 3778814 4069492 5229679 5731537 7557628 10459358 10644283 11463074 13225849 20918716 21288566 22926148 26451698 42577132 52903396 74509981 82697891 149019962 165395782 298039924 330791564 578885237 1075072583 1157770474 2150145166 2315540948 4300290332 7525508081 15051016162 30102032324