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231331321230 = 235531372514231
BaseRepresentation
bin1101011101110001101…
…0111101010110001110
3211010002212200201021020
43113130122331112032
512242231304234410
6254134441015010
722466414533602
oct3273432752616
9733085621236
10231331321230
118a11a555609
1238a00484466
1318a784676c9
14b2a7281502
15603ddc8a70
hex35dc6bd58e

231331321230 has 128 divisors (see below), whose sum is σ = 572204860416. Its totient is φ = 59829120000.

The previous prime is 231331321217. The next prime is 231331321237. The reversal of 231331321230 is 32123133132.

It is a self number, because there is not a number n which added to its sum of digits gives 231331321230.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231331321237) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 54673215 + ... + 54677445.

It is an arithmetic number, because the mean of its divisors is an integer number (4470350472).

Almost surely, 2231331321230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231331321230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286102430208).

231331321230 is an abundant number, since it is smaller than the sum of its proper divisors (340873539186).

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

231331321230 is a wasteful number, since it uses less digits than its factorization.

231331321230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4682.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 231331321230 its reverse (32123133132), we get a palindrome (263454454362).

The spelling of 231331321230 in words is "two hundred thirty-one billion, three hundred thirty-one million, three hundred twenty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 53 106 137 159 251 265 274 318 411 502 530 685 753 795 822 1255 1370 1506 1590 2055 2510 3765 4110 4231 7261 7530 8462 12693 13303 14522 21155 21783 25386 26606 34387 36305 39909 42310 43566 63465 66515 68774 72610 79818 103161 108915 126930 133030 171935 199545 206322 217830 224243 343870 399090 448486 515805 579647 672729 1031610 1061981 1121215 1159294 1345458 1738941 1822511 2123962 2242430 2898235 3185943 3363645 3477882 3645022 5309905 5467533 5796470 6371886 6727290 8694705 9112555 10619810 10935066 15929715 17389410 18225110 27337665 30721291 31859430 54675330 56284993 61442582 92163873 112569986 145491397 153606455 168854979 184327746 281424965 290982794 307212910 337709958 436474191 460819365 562849930 727456985 844274895 872948382 921638730 1454913970 1688549790 2182370955 4364741910 7711044041 15422088082 23133132123 38555220205 46266264246 77110440410 115665660615 231331321230