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231057455377100 = 225211523991405277
BaseRepresentation
bin110100100010010101000001…
…100011001110101011001100
31010022002212200100011210220012
4310202111001203032223030
5220241121132034031400
62135230155111212352
766445231066301102
oct6442250143165314
91108085610153805
10231057455377100
1167692a099a5520
1221ab85963770b8
139bc081719c901
14410b351d61c72
151baa50473ed35
hexd225418ceacc

231057455377100 has 144 divisors (see below), whose sum is σ = 548576208208896. Its totient is φ = 83775412512000.

The previous prime is 231057455377093. The next prime is 231057455377109. The reversal of 231057455377100 is 1773554750132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is not an unprimeable number, because it can be changed into a prime (231057455377109) 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, 569919662 + ... + 570324938.

Almost surely, 2231057455377100 is an apocalyptic number.

231057455377100 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 231057455377100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274288104104448).

231057455377100 is an abundant number, since it is smaller than the sum of its proper divisors (317518752831796).

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

231057455377100 is a wasteful number, since it uses less digits than its factorization.

231057455377100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406816 (or 406809 counting only the distinct ones).

The product of its (nonzero) digits is 3087000, while the sum is 50.

The spelling of 231057455377100 in words is "two hundred thirty-one trillion, fifty-seven billion, four hundred fifty-five million, three hundred seventy-seven thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 523 550 991 1046 1100 1982 2092 2615 3964 4955 5230 5753 9910 10460 10901 11506 13075 19820 21802 23012 24775 26150 28765 43604 49550 52300 54505 57530 99100 109010 115060 143825 218020 272525 287650 405277 518293 545050 575300 810554 1036586 1090100 1621108 2026385 2073172 2591465 4052770 4458047 5182930 5701223 8105540 8916094 10131925 10365860 11402446 12957325 17832188 20263850 22290235 22804892 25914650 28506115 40527700 44580470 51829300 57012230 89160940 111451175 114024460 142530575 211959871 222902350 285061150 401629507 423919742 445804700 570122300 803259014 847839484 1059799355 1606518028 2008147535 2119598710 2331558581 4016295070 4239197420 4417924577 4663117162 5298996775 8032590140 8835849154 9326234324 10040737675 10597993550 11657792905 17671698308 20081475350 21195987100 22089622885 23315585810 40162950700 44179245770 46631171620 58288964525 88358491540 110448114425 116577929050 210052232161 220896228850 233155858100 420104464322 441792457700 840208928644 1050261160805 2100522321610 2310574553771 4201044643220 4621149107542 5251305804025 9242298215084 10502611608050 11552872768855 21005223216100 23105745537710 46211491075420 57764363844275 115528727688550 231057455377100