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30212242434 = 23311223201037
BaseRepresentation
bin11100001000110010…
…100011110000000010
32212222112122221021000
4130020302203300002
5443333313224214
621513533112430
72116454552313
oct341062436002
985875587230
1030212242434
11118a4028a00
125a32028716
132b0634783a
1416686d660a
15bbc5a0809
hex708ca3c02

30212242434 has 96 divisors (see below), whose sum is σ = 77005595520. Its totient is φ = 8757128160.

The previous prime is 30212242409. The next prime is 30212242469. The reversal of 30212242434 is 43424221203.

30212242434 is a `hidden beast` number, since 3 + 0 + 2 + 1 + 224 + 2 + 434 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 30212242398 and 30212242407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49764 + ... + 250800.

It is an arithmetic number, because the mean of its divisors is an integer number (802141620).

Almost surely, 230212242434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30212242434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38502797760).

30212242434 is an abundant number, since it is smaller than the sum of its proper divisors (46793353086).

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

30212242434 is a wasteful number, since it uses less digits than its factorization.

30212242434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201093 (or 201076 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 30212242434 its reverse (43424221203), we get a palindrome (73636463637).

The spelling of 30212242434 in words is "thirty billion, two hundred twelve million, two hundred forty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 99 121 138 198 207 242 253 297 363 414 506 594 621 726 759 1089 1242 1518 2178 2277 2783 3267 4554 5566 6534 6831 8349 13662 16698 25047 50094 75141 150282 201037 402074 603111 1206222 1809333 2211407 3618666 4422814 4623851 5427999 6634221 9247702 10855998 13268442 13871553 19902663 24325477 27743106 39805326 41614659 48650954 50862361 59707989 72976431 83229318 101724722 119415978 124843977 145952862 152587083 218929293 249687954 305174166 437858586 457761249 559485971 656787879 915522498 1118971942 1313575758 1373283747 1678457913 2746567494 3356915826 5035373739 10070747478 15106121217 30212242434