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231093541900 = 2252132318142701
BaseRepresentation
bin1101011100111000111…
…1111001110000001100
3211002111022021021100101
43113032033321300030
512241234421320100
6254055104340444
722460466460444
oct3271617716014
9732438237311
10231093541900
118a008309471
1238954914724
1318a3b113590
14b283867124
1560280aa86a
hex35ce3f9c0c

231093541900 has 144 divisors (see below), whose sum is σ = 566654856768. Its totient is φ = 81164160000.

The previous prime is 231093541897. The next prime is 231093541901. The reversal of 231093541900 is 9145390132.

It is a super-2 number, since 2×2310935419002 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 231093541900.

It is not an unprimeable number, because it can be changed into a prime (231093541901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5390550 + ... + 5433250.

It is an arithmetic number, because the mean of its divisors is an integer number (3935103172).

Almost surely, 2231093541900 is an apocalyptic number.

231093541900 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 231093541900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283327428384).

231093541900 is an abundant number, since it is smaller than the sum of its proper divisors (335561314868).

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

231093541900 is a wasteful number, since it uses less digits than its factorization.

231093541900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42932 (or 42925 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 37.

The spelling of 231093541900 in words is "two hundred thirty-one billion, ninety-three million, five hundred forty-one thousand, nine hundred".

Divisors: 1 2 4 5 10 13 20 23 25 26 46 50 52 65 92 100 115 130 181 230 260 299 325 362 460 575 598 650 724 905 1150 1196 1300 1495 1810 2300 2353 2990 3620 4163 4525 4706 5980 7475 8326 9050 9412 11765 14950 16652 18100 20815 23530 29900 41630 42701 47060 54119 58825 83260 85402 104075 108238 117650 170804 208150 213505 216476 235300 270595 416300 427010 541190 555113 854020 982123 1067525 1082380 1110226 1352975 1964246 2135050 2220452 2705950 2775565 3928492 4270100 4910615 5411900 5551130 7728881 9821230 11102260 12767599 13877825 15457762 19642460 24553075 25535198 27755650 30915524 38644405 49106150 51070396 55511300 63837995 77288810 98212300 100475453 127675990 154577620 177764263 193222025 200950906 255351980 319189975 355528526 386444050 401901812 502377265 638379950 711057052 772888100 888821315 1004754530 1276759900 1777642630 2009509060 2310935419 2511886325 3555285260 4444106575 4621870838 5023772650 8888213150 9243741676 10047545300 11554677095 17776426300 23109354190 46218708380 57773385475 115546770950 231093541900