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30231012024 = 23331919338167
BaseRepresentation
bin11100001001111010…
…001010001010111000
32220000211222112022000
4130021322022022320
5443403114341044
621515443301000
72120103235203
oct341172121270
986024875260
1030231012024
1111903688864
125a3837a760
132b0a1b9bc5
14166adc093a
15bbe05bd69
hex709e8a2b8

30231012024 has 128 divisors (see below), whose sum is σ = 88855104000. Its totient is φ = 9496922112.

The previous prime is 30231012001. The next prime is 30231012073. The reversal of 30231012024 is 42021013203.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30231011988 and 30231012006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 772989 + ... + 811155.

It is an arithmetic number, because the mean of its divisors is an integer number (694180500).

Almost surely, 230231012024 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 30231012024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44427552000).

30231012024 is an abundant number, since it is smaller than the sum of its proper divisors (58624091976).

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

30231012024 is a wasteful number, since it uses less digits than its factorization.

30231012024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38394 (or 38384 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 30231012024 its reverse (42021013203), we get a palindrome (72252025227).

The spelling of 30231012024 in words is "thirty billion, two hundred thirty-one million, twelve thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 193 216 228 342 386 456 513 579 684 772 1026 1158 1368 1544 1737 2052 2316 3474 3667 4104 4632 5211 6948 7334 10422 11001 13896 14668 20844 22002 29336 33003 38167 41688 44004 66006 76334 88008 99009 114501 132012 152668 198018 229002 264024 305336 343503 396036 458004 687006 725173 792072 916008 1030509 1374012 1450346 2061018 2175519 2748024 2900692 4122036 4351038 5801384 6526557 7366231 8244072 8702076 13053114 14732462 17404152 19579671 22098693 26106228 29464924 39159342 44197386 52212456 58929848 66296079 78318684 88394772 132592158 139958389 156637368 176789544 198888237 265184316 279916778 397776474 419875167 530368632 559833556 795552948 839750334 1119667112 1259625501 1591105896 1679500668 2519251002 3359001336 3778876503 5038502004 7557753006 10077004008 15115506012 30231012024