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231023233200030 = 235711095347186097
BaseRepresentation
bin110100100001110101001001…
…101111111110111110011110
31010021222121100100010002102120
4310201311021233332332132
5220240041040144400110
62135202335211203410
766442610040504105
oct6441651157767636
91107877310102376
10231023233200030
116767a448418357
1221ab1a25446566
139bba5221657ab
144109826c8b03c
151ba96a0105870
hexd21d49bfef9e

231023233200030 has 128 divisors (see below), whose sum is σ = 567532559784960. Its totient is φ = 60169690183680.

The previous prime is 231023233200007. The next prime is 231023233200037. The reversal of 231023233200030 is 30002332320132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231023233200037) 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, 1241319942 + ... + 1241506038.

It is an arithmetic number, because the mean of its divisors is an integer number (4433848123320).

Almost surely, 2231023233200030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231023233200030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283766279892480).

231023233200030 is an abundant number, since it is smaller than the sum of its proper divisors (336509326584930).

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

231023233200030 is a wasteful number, since it uses less digits than its factorization.

231023233200030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191634.

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 231023233200030 its reverse (30002332320132), we get a palindrome (261025565520162).

The spelling of 231023233200030 in words is "two hundred thirty-one trillion, twenty-three billion, two hundred thirty-three million, two hundred thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 71 109 142 213 218 327 355 426 545 654 710 1065 1090 1635 2130 3270 5347 7739 10694 15478 16041 23217 26735 32082 38695 46434 53470 77390 80205 116085 160410 186097 232170 372194 379637 558291 582823 759274 930485 1116582 1138911 1165646 1748469 1860970 1898185 2277822 2791455 2914115 3496938 3796370 5582910 5694555 5828230 8742345 11389110 13212887 17484690 20284573 26425774 39638661 40569146 41380433 60853719 66064435 79277322 82760866 101422865 121707438 124141299 132128870 198193305 202845730 206902165 248282598 304268595 396386610 413804330 608537190 620706495 995060659 1241412990 1440204683 1990121318 2880409366 2985181977 4320614049 4975303295 5970363954 7201023415 8641228098 9950606590 14402046830 14925909885 21603070245 29851819770 43206140490 70649306789 108461611831 141298613578 211947920367 216923223662 325384835493 353246533945 423895840734 542308059155 650769670986 706493067890 1059739601835 1084616118310 1626924177465 2119479203670 3253848354930 7700774440001 15401548880002 23102323320003 38503872200005 46204646640006 77007744400010 115511616600015 231023233200030