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231101132304 = 24378926928729
BaseRepresentation
bin1101011100111010110…
…0110110111000010000
3211002111211112220102110
43113032230312320100
512241243342213204
6254055535145320
722460621133060
oct3271654667020
9732454486373
10231101132304
118a011623229
1238957375240
1318a3c870443
14b2848813a0
156028aa9889
hex35ceb36e10

231101132304 has 160 divisors (see below), whose sum is σ = 692553888000. Its totient is φ = 65042030592.

The previous prime is 231101132287. The next prime is 231101132359. The reversal of 231101132304 is 403231101132.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8029812 + ... + 8058540.

It is an arithmetic number, because the mean of its divisors is an integer number (4328461800).

Almost surely, 2231101132304 is an apocalyptic number.

231101132304 is a gapful number since it is divisible by the number (24) 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 231101132304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346276944000).

231101132304 is an abundant number, since it is smaller than the sum of its proper divisors (461452755696).

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

231101132304 is a wasteful number, since it uses less digits than its factorization.

231101132304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29105 (or 29099 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 231101132304 its reverse (403231101132), we get a palindrome (634332233436).

The spelling of 231101132304 in words is "two hundred thirty-one billion, one hundred one million, one hundred thirty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 89 112 168 178 267 269 336 356 534 538 623 712 807 1068 1076 1246 1424 1614 1869 1883 2136 2152 2492 3228 3738 3766 4272 4304 4984 5649 6456 7476 7532 9968 11298 12912 14952 15064 22596 23941 28729 29904 30128 45192 47882 57458 71823 86187 90384 95764 114916 143646 167587 172374 191528 201103 229832 287292 335174 344748 383056 402206 459664 502761 574584 603309 670348 689496 804412 1005522 1149168 1206618 1340696 1378992 1608824 2011044 2413236 2556881 2681392 3217648 4022088 4826472 5113762 7670643 7728101 8044176 9652944 10227524 15341286 15456202 17898167 20455048 23184303 30682572 30912404 35796334 40910096 46368606 53694501 54096707 61365144 61824808 71592668 92737212 107389002 108193414 122730288 123649616 143185336 162290121 185474424 214778004 216386828 286370672 324580242 370948848 429556008 432773656 649160484 687800989 859112016 865547312 1298320968 1375601978 2063402967 2596641936 2751203956 4126805934 4814606923 5502407912 8253611868 9629213846 11004815824 14443820769 16507223736 19258427692 28887641538 33014447472 38516855384 57775283076 77033710768 115550566152 231101132304