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230011020312 = 233234761714369
BaseRepresentation
bin1101011000110110111…
…0011010010000011000
3210222200212022110220020
43112031232122100120
512232030310122222
6253355434230440
722421613262023
oct3261556322030
9728625273806
10230011020312
1189602251a27
12386b2285420
13188c7a72368
14b1bdb981ba
155eb302865c
hex358db9a418

230011020312 has 128 divisors (see below), whose sum is σ = 613831219200. Its totient is φ = 71655170048.

The previous prime is 230011020223. The next prime is 230011020341. The reversal of 230011020312 is 213020110032.

It is a junction number, because it is equal to n+sod(n) for n = 230011020291 and 230011020300.

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, 16000264 + ... + 16014632.

It is an arithmetic number, because the mean of its divisors is an integer number (4795556400).

Almost surely, 2230011020312 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 230011020312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306915609600).

230011020312 is an abundant number, since it is smaller than the sum of its proper divisors (383820198888).

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

230011020312 is a wasteful number, since it uses less digits than its factorization.

230011020312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15065 (or 15061 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 230011020312 its reverse (213020110032), we get a palindrome (443031130344).

The spelling of 230011020312 in words is "two hundred thirty billion, eleven million, twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 23 24 46 47 69 92 94 138 141 184 188 276 282 376 552 564 617 1081 1128 1234 1851 2162 2468 3243 3702 4324 4936 6486 7404 8648 12972 14191 14369 14808 25944 28382 28738 28999 42573 43107 56764 57476 57998 85146 86214 86997 113528 114952 115996 170292 172428 173994 231992 330487 340584 344856 347988 660974 666977 675343 695976 991461 1321948 1333954 1350686 1982922 2000931 2026029 2643896 2667908 2701372 3965844 4001862 4052058 5335816 5402744 7931688 8003724 8104116 8865673 15532889 16007448 16208232 17731346 26597019 31065778 35462692 46598667 53194038 62131556 70925384 93197334 106388076 124263112 186394668 203910479 212776152 372789336 407820958 416686631 611731437 815641916 833373262 1223462874 1250059893 1631283832 1666746524 2446925748 2500119786 3333493048 4893851496 5000239572 9583792513 10000479144 19167585026 28751377539 38335170052 57502755078 76670340104 115005510156 230011020312