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103314212001 = 327111359194371
BaseRepresentation
bin110000000111000000…
…0011100010010100001
3100212200010220202102100
41200032000130102201
53143041414241001
6115243434041013
710315136212110
oct1401600342241
9325603822370
10103314212001
113a8a71a7690
1218033879169
139986329830
145001299c77
152a4a198586
hex180e01c4a1

103314212001 has 96 divisors (see below), whose sum is σ = 203764055040. Its totient is φ = 48701347200.

The previous prime is 103314211997. The next prime is 103314212009. The reversal of 103314212001 is 100212413301.

103314212001 is a `hidden beast` number, since 10 + 3 + 31 + 421 + 200 + 1 = 666.

It is not a de Polignac number, because 103314212001 - 22 = 103314211997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (103314212009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 434346 + ... + 628716.

It is an arithmetic number, because the mean of its divisors is an integer number (2122542240).

Almost surely, 2103314212001 is an apocalyptic number.

103314212001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103314212001 is a deficient number, since it is larger than the sum of its proper divisors (100449843039).

103314212001 is a wasteful number, since it uses less digits than its factorization.

103314212001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194467 (or 194464 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 103314212001 its reverse (100212413301), we get a palindrome (203526625302).

The spelling of 103314212001 in words is "one hundred three billion, three hundred fourteen million, two hundred twelve thousand, one".

Divisors: 1 3 7 9 11 13 21 33 39 59 63 77 91 99 117 143 177 231 273 413 429 531 649 693 767 819 1001 1239 1287 1947 2301 3003 3717 4543 5369 5841 6903 8437 9009 13629 16107 25311 40887 48321 59059 75933 177177 194371 531531 583113 1360597 1749339 2138081 2526823 4081791 6414243 7580469 11467889 12245373 14966567 17687761 19242729 22741407 27795053 34403667 44899701 53063283 80275223 83385159 103211001 126146779 134699103 149082557 159189849 194565371 240825669 250155477 378440337 447247671 583696113 722477007 883027453 1043577899 1135321011 1341743013 1639908127 1751088339 2649082359 3130733697 4919724381 7947247077 9392201091 11479356889 14759173143 34438070667 103314212001