Search a number
-
+
30102030112 = 2571112919463
BaseRepresentation
bin11100000010001110…
…001000011100100000
32212200212021120101011
4130002032020130200
5443122104430422
621454554550304
72113646014510
oct340216103440
985625246334
1030102030112
11118478a1840
125a01138394
132ab956994b
141657c07840
15bb2a80077
hex702388720

30102030112 has 96 divisors (see below), whose sum is σ = 73951847424. Its totient is φ = 11717740800.

The previous prime is 30102030107. The next prime is 30102030139. The reversal of 30102030112 is 21103020103.

It is a super-2 number, since 2×301020301122 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30102030092 and 30102030101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3176293 + ... + 3185755.

It is an arithmetic number, because the mean of its divisors is an integer number (770331744).

Almost surely, 230102030112 is an apocalyptic number.

30102030112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30102030112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36975923712).

30102030112 is an abundant number, since it is smaller than the sum of its proper divisors (43849817312).

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

30102030112 is a wasteful number, since it uses less digits than its factorization.

30102030112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10782 (or 10774 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 30102030112 its reverse (21103020103), we get a palindrome (51205050215).

The spelling of 30102030112 in words is "thirty billion, one hundred two million, thirty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 1291 2464 2582 5164 9037 9463 10328 14201 18074 18926 20656 28402 36148 37852 41312 56804 66241 72296 75704 99407 104093 113608 132482 144592 151408 198814 208186 227216 264964 289184 302816 397628 416372 454432 529928 728651 795256 832744 1059856 1457302 1590512 1665488 2119712 2914604 3181024 3330976 5829208 11658416 12216733 23316832 24433466 48866932 85517131 97733864 134384063 171034262 195467728 268768126 342068524 390935456 537536252 684137048 940688441 1075072504 1368274096 1881376882 2150145008 2736548192 3762753764 4300290016 7525507528 15051015056 30102030112