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30242225412 = 223271723929537
BaseRepresentation
bin11100001010100100…
…111011110100000100
32220001122002020011200
4130022210323310010
5443414002203122
621520523502500
72120300450250
oct341244736404
986048066150
1030242225412
1111909a47623
125a40087a30
132b0c614b49
14166c69d260
15bc00245ac
hex70a93bd04

30242225412 has 144 divisors (see below), whose sum is σ = 92895828480. Its totient is φ = 8098062336.

The previous prime is 30242225401. The next prime is 30242225423. The reversal of 30242225412 is 21452224203.

30242225412 is a `hidden beast` number, since 3 + 0 + 24 + 2 + 225 + 412 = 666.

It is an interprime number because it is at equal distance from previous prime (30242225401) and next prime (30242225423).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1009108 + ... + 1038644.

It is an arithmetic number, because the mean of its divisors is an integer number (645109920).

Almost surely, 230242225412 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 30242225412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46447914240).

30242225412 is an abundant number, since it is smaller than the sum of its proper divisors (62653603068).

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

30242225412 is a wasteful number, since it uses less digits than its factorization.

30242225412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29810 (or 29805 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 30242225412 its reverse (21452224203), we get a palindrome (51694449615).

The spelling of 30242225412 in words is "thirty billion, two hundred forty-two million, two hundred twenty-five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 239 252 306 357 476 478 612 714 717 956 1071 1428 1434 1673 2142 2151 2868 3346 4063 4284 4302 5019 6692 8126 8604 10038 12189 15057 16252 20076 24378 28441 29537 30114 36567 48756 56882 59074 60228 73134 85323 88611 113764 118148 146268 170646 177222 206759 255969 265833 341292 354444 413518 502129 511938 531666 620277 827036 1004258 1023876 1063332 1240554 1506387 1860831 2008516 2481108 3012774 3514903 3721662 4519161 6025548 7029806 7059343 7443324 9038322 10544709 14059612 14118686 18076644 21089418 21178029 28237372 31634127 42178836 42356058 49415401 63268254 63534087 84712116 98830802 120008831 126536508 127068174 148246203 197661604 240017662 254136348 296492406 360026493 444738609 480035324 592984812 720052986 840061817 889477218 1080079479 1440105972 1680123634 1778954436 2160158958 2520185451 3360247268 4320317916 5040370902 7560556353 10080741804 15121112706 30242225412