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231201231302100 = 223526787371316533
BaseRepresentation
bin110100100100011010111011…
…010000110110110111010100
31010022121121210022221112222110
4310210122323100312313110
5220301000110203131400
62135420213540231020
766461511020426103
oct6444327320666724
91108547708845873
10231201231302100
1167738989736a34
1221b2042069b470
139c0124b119b47
1441142b0c5603a
151bae11bbc3e50
hexd246bb436dd4

231201231302100 has 144 divisors (see below), whose sum is σ = 679004664406208. Its totient is φ = 60726460354560.

The previous prime is 231201231302087. The next prime is 231201231302117. The reversal of 231201231302100 is 1203132102132.

It is a super-2 number, since 2×2312012313021002 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174955434 + ... + 176271966.

Almost surely, 2231201231302100 is an apocalyptic number.

231201231302100 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 231201231302100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339502332203104).

231201231302100 is an abundant number, since it is smaller than the sum of its proper divisors (447803433104108).

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

231201231302100 is a wasteful number, since it uses less digits than its factorization.

231201231302100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325354 (or 1325347 counting only the distinct ones).

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

Adding to 231201231302100 its reverse (1203132102132), we get a palindrome (232404363404232).

The spelling of 231201231302100 in words is "two hundred thirty-one trillion, two hundred one billion, two hundred thirty-one million, three hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 67 75 100 134 150 201 268 300 335 402 670 804 1005 1340 1675 2010 3350 4020 5025 6700 8737 10050 17474 20100 26211 34948 43685 52422 87370 104844 131055 174740 218425 262110 436850 524220 585379 655275 873700 1170758 1310550 1316533 1756137 2341516 2621100 2633066 2926895 3512274 3949599 5266132 5853790 6582665 7024548 7899198 8780685 11707580 13165330 14634475 15798396 17561370 19747995 26330660 29268950 32913325 35122740 39495990 43903425 58537900 65826650 78991980 87806850 88207711 98739975 131653300 175613700 176415422 197479950 264623133 352830844 394959900 441038555 529246266 882077110 1058492532 1323115665 1764154220 2205192775 2646231330 4410385550 5292462660 6615578325 8820771100 11502548821 13231156650 23005097642 26462313300 34507646463 46010195284 57512744105 69015292926 115025488210 138030585852 172538232315 230050976420 287563720525 345076464630 575127441050 690152929260 770670771007 862691161575 1150254882100 1541341542014 1725382323150 2312012313021 3082683084028 3450764646300 3853353855035 4624024626042 7706707710070 9248049252084 11560061565105 15413415420140 19266769275175 23120123130210 38533538550350 46240246260420 57800307825525 77067077100700 115600615651050 231201231302100