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30400124112 = 24323712744927
BaseRepresentation
bin11100010011111111…
…010001010011010000
32220110122012022110200
4130103333101103100
5444224412432422
621544324055200
72124225535311
oct342377212320
986418168420
1030400124112
1111990094216
125a84b34500
132b3624b027
141685642608
15bcdd142ac
hex713fd14d0

30400124112 has 120 divisors (see below), whose sum is σ = 88067506176. Its totient is φ = 9781648128.

The previous prime is 30400124099. The next prime is 30400124113. The reversal of 30400124112 is 21142100403.

30400124112 is a `hidden beast` number, since 30 + 400 + 124 + 112 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30400124113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 654193 + ... + 699119.

Almost surely, 230400124112 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 30400124112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44033753088).

30400124112 is an abundant number, since it is smaller than the sum of its proper divisors (57667382064).

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

30400124112 is a wasteful number, since it uses less digits than its factorization.

30400124112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45105 (or 45096 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 30400124112 its reverse (21142100403), we get a palindrome (51542224515).

The spelling of 30400124112 in words is "thirty billion, four hundred million, one hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 127 144 148 222 254 296 333 381 444 508 592 666 762 888 1016 1143 1332 1524 1776 2032 2286 2664 3048 4572 4699 5328 6096 9144 9398 14097 18288 18796 28194 37592 42291 44927 56388 75184 84582 89854 112776 134781 169164 179708 225552 269562 338328 359416 404343 539124 676656 718832 808686 1078248 1617372 1662299 2156496 3234744 3324598 4986897 5705729 6469488 6649196 9973794 11411458 13298392 14960691 17117187 19947588 22822916 26596784 29921382 34234374 39895176 45645832 51351561 59842764 68468748 79790352 91291664 102703122 119685528 136937496 205406244 211111973 239371056 273874992 410812488 422223946 633335919 821624976 844447892 1266671838 1688895784 1900007757 2533343676 3377791568 3800015514 5066687352 7600031028 10133374704 15200062056 30400124112