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30102034424 = 2371132511609
BaseRepresentation
bin11100000010001110…
…001001011111111000
32212200212021210021212
4130002032021133320
5443122110100144
621454555022252
72113646033210
oct340216113770
985625253255
1030102034424
11118478a5000
125a0113a988
132ab956b8b7
141657c09240
15bb2a8149e
hex7023897f8

30102034424 has 128 divisors (see below), whose sum is σ = 71276889600. Its totient is φ = 11674080000.

The previous prime is 30102034421. The next prime is 30102034429. The reversal of 30102034424 is 42443020103.

It is a super-2 number, since 2×301020344242 (a number of 22 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 30102034424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30102034421) 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 31 ways as a sum of consecutive naturals, for example, 18707732 + ... + 18709340.

It is an arithmetic number, because the mean of its divisors is an integer number (556850700).

Almost surely, 230102034424 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 30102034424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35638444800).

30102034424 is an abundant number, since it is smaller than the sum of its proper divisors (41174855176).

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

30102034424 is a wasteful number, since it uses less digits than its factorization.

30102034424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906 (or 1880 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 30102034424 its reverse (42443020103), we get a palindrome (72545054527).

The spelling of 30102034424 in words is "thirty billion, one hundred two million, thirty-four thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 121 154 242 251 308 484 502 616 847 968 1004 1331 1609 1694 1757 2008 2662 2761 3218 3388 3514 5324 5522 6436 6776 7028 9317 10648 11044 11263 12872 14056 17699 18634 19327 22088 22526 30371 35398 37268 38654 45052 60742 70796 74536 77308 90104 121484 123893 141592 154616 194689 212597 242968 247786 334081 389378 403859 425194 495572 668162 778756 807718 850388 991144 1336324 1362823 1557512 1615436 1700776 2141579 2338567 2672648 2725646 2827013 3230872 4283158 4442449 4677134 5451292 5654026 8566316 8884898 9354268 10902584 11308052 14991053 17132632 17769796 18708536 22616104 29982106 31097143 35539592 48866939 59964212 62194286 97733878 119928424 124388572 195467756 248777144 342068573 390935512 537536329 684137146 1075072658 1368274292 2150145316 2736548584 3762754303 4300290632 7525508606 15051017212 30102034424