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331023031140030 = 235374111516319403
BaseRepresentation
bin100101101000100000100111…
…0001011101111111010111110
31121102001111022012012220111120
41023101001032023233322332
5321341440131432440110
63132005514155131410
7126503424204322215
oct11321011613577276
91542044265186446
10331023031140030
1196524096364899
1231162593443b66
13112924514828b8
145ba5858d0207c
152840a06cb0870
hex12d104e2efebe

331023031140030 has 128 divisors (see below), whose sum is σ = 836554006020096. Its totient is φ = 83719437696000.

The previous prime is 331023031140023. The next prime is 331023031140037. The reversal of 331023031140030 is 30041130320133.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (331023031140023) and next prime (331023031140037).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331023031140037) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49222309 + ... + 55541711.

It is an arithmetic number, because the mean of its divisors is an integer number (6535578172032).

Almost surely, 2331023031140030 is an apocalyptic number.

331023031140030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 331023031140030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418277003010048).

331023031140030 is an abundant number, since it is smaller than the sum of its proper divisors (505530974880066).

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

331023031140030 is a wasteful number, since it uses less digits than its factorization.

331023031140030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6320642.

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

Adding to 331023031140030 its reverse (30041130320133), we get a palindrome (361064161460163).

The spelling of 331023031140030 in words is "three hundred thirty-one trillion, twenty-three billion, thirty-one million, one hundred forty thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 37 41 74 82 111 123 185 205 222 246 370 410 555 615 1110 1151 1230 1517 2302 3034 3453 4551 5755 6906 7585 9102 11510 15170 17265 22755 34530 42587 45510 47191 85174 94382 127761 141573 212935 235955 255522 283146 425870 471910 638805 707865 1277610 1415730 1746067 3492134 5238201 6319403 8730335 10476402 12638806 17460670 18958209 26191005 31597015 37916418 52382010 63194030 94791045 189582090 233817911 259095523 467635822 518191046 701453733 777286569 1169089555 1295477615 1402907466 1554573138 2338179110 2590955230 3507268665 3886432845 7014537330 7273632853 7772865690 9586534351 14547265706 19173068702 21820898559 28759603053 36368164265 43641797118 47932671755 57519206106 72736328530 95865343510 109104492795 143798015265 218208985590 269124415561 287596030530 298218946973 538248831122 596437893946 807373246683 894656840919 1345622077805 1491094734865 1614746493366 1789313681838 2691244155610 2982189469730 4036866233415 4473284204595 8073732466830 8946568409190 11034101038001 22068202076002 33102303114003 55170505190005 66204606228006 110341010380010 165511515570015 331023031140030