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230302131312 = 2431123149127277
BaseRepresentation
bin1101011001111100010…
…0111010010001110000
3211000110011002110010010
43112133010322101300
512233124321200222
6253444353534520
722432046550111
oct3263704722160
9730404073103
10230302131312
1189741604a30
1238773874440
131894317a1a6
14b20a6d6208
155ecd87d80c
hex359f13a470

230302131312 has 160 divisors (see below), whose sum is σ = 681802790400. Its totient is φ = 66305704960.

The previous prime is 230302131271. The next prime is 230302131337. The reversal of 230302131312 is 213131203032.

230302131312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×2303021313124 (a number of 47 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1745818 + ... + 1873094.

It is an arithmetic number, because the mean of its divisors is an integer number (4261267440).

Almost surely, 2230302131312 is an apocalyptic number.

230302131312 is a gapful number since it is divisible by the number (22) 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 230302131312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340901395200).

230302131312 is an abundant number, since it is smaller than the sum of its proper divisors (451500659088).

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

230302131312 is a wasteful number, since it uses less digits than its factorization.

230302131312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127471 (or 127465 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 230302131312 its reverse (213131203032), we get a palindrome (443433334344).

The spelling of 230302131312 in words is "two hundred thirty billion, three hundred two million, one hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 132 138 149 176 184 253 264 276 298 368 447 506 528 552 596 759 894 1012 1104 1192 1518 1639 1788 2024 2384 3036 3278 3427 3576 4048 4917 6072 6556 6854 7152 9834 10281 12144 13112 13708 19668 20562 26224 27416 37697 39336 41124 54832 75394 78672 82248 113091 127277 150788 164496 226182 254554 301576 381831 452364 509108 603152 763662 904728 1018216 1400047 1527324 1809456 2036432 2800094 2927371 3054648 4200141 5600188 5854742 6109296 8400282 8782113 11200376 11709484 16800564 17564226 18964273 22400752 23418968 32201081 33601128 35128452 37928546 46837936 56892819 64402162 67202256 70256904 75857092 96603243 113785638 128804324 140513808 151714184 193206486 208607003 227571276 257608648 303428368 386412972 417214006 436178279 455142552 515217296 625821009 772825944 834428012 872356558 910285104 1251642018 1308534837 1545651888 1668856024 1744713116 2503284036 2617069674 3337712048 3489426232 4797961069 5006568072 5234139348 6978852464 9595922138 10013136144 10468278696 14393883207 19191844276 20936557392 28787766414 38383688552 57575532828 76767377104 115151065656 230302131312