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231230013211320 = 233522344729193183
BaseRepresentation
bin110100100100110101101110…
…110011001000001010111000
31010022201101002012012000221020
4310210311232303020022320
5220301433031340230240
62135441333540342440
766463550166551634
oct6444655663101270
91108641065160836
10231230013211320
116774a109338372
1221b25b136a4a20
139c03b87025366
1441158415c1dc4
151baec538dc0d0
hexd24d6ecc82b8

231230013211320 has 128 divisors (see below), whose sum is σ = 696819942604800. Its totient is φ = 61383138499584.

The previous prime is 231230013211313. The next prime is 231230013211331. The reversal of 231230013211320 is 23112310032132.

It is a super-2 number, since 2×2312300132113202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1196851449 + ... + 1197044631.

It is an arithmetic number, because the mean of its divisors is an integer number (5443905801600).

Almost surely, 2231230013211320 is an apocalyptic number.

231230013211320 is a gapful number since it is divisible by the number (20) 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 231230013211320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348409971302400).

231230013211320 is an abundant number, since it is smaller than the sum of its proper divisors (465589929393480).

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

231230013211320 is a wasteful number, since it uses less digits than its factorization.

231230013211320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238149 (or 238145 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 231230013211320 its reverse (23112310032132), we get a palindrome (254342323243452).

The spelling of 231230013211320 in words is "two hundred thirty-one trillion, two hundred thirty billion, thirteen million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 223 446 669 892 1115 1338 1784 2230 2676 3345 4460 5352 6690 8920 13380 26760 44729 89458 134187 178916 193183 223645 268374 357832 386366 447290 536748 579549 670935 772732 894580 965915 1073496 1159098 1341870 1545464 1789160 1931830 2318196 2683740 2897745 3863660 4636392 5367480 5795490 7727320 9974567 11590980 19949134 23181960 29923701 39898268 43079809 49872835 59847402 79796536 86159618 99745670 119694804 129239427 149618505 172319236 199491340 215399045 239389608 258478854 299237010 344638472 398982680 430798090 516957708 598474020 646197135 861596180 1033915416 1196948040 1292394270 1723192360 2584788540 5169577080 8640882407 17281764814 25922647221 34563529628 43204412035 51845294442 69127059256 86408824070 103690588884 129613236105 172817648140 207381177768 259226472210 345635296280 518452944420 1036905888840 1926916776761 3853833553522 5780750330283 7707667107044 9634583883805 11561500660566 15415334214088 19269167767610 23123001321132 28903751651415 38538335535220 46246002642264 57807503302830 77076671070440 115615006605660 231230013211320