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101214143200304 = 24293743137104921
BaseRepresentation
bin10111000000110111000001…
…000011010011110000110000
3111021100222101122221122201122
4113000313001003103300300
5101231243031124402204
6555133045133121412
730214323552103361
oct2700670103236060
9437328348848648
10101214143200304
112a28274a209a62
12b427b8b929268
1344625b68ca714
141adcb0d84bb68
15ba7c2ae780be
hex5c0dc10d3c30

101214143200304 has 80 divisors (see below), whose sum is σ = 213192669513120. Its totient is φ = 46435791144960.

The previous prime is 101214143200301. The next prime is 101214143200343. The reversal of 101214143200304 is 403002341412101.

It is not an unprimeable number, because it can be changed into a prime (101214143200301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67814237 + ... + 69290684.

It is an arithmetic number, because the mean of its divisors is an integer number (2664908368914).

Almost surely, 2101214143200304 is an apocalyptic number.

It is an amenable number.

101214143200304 is an abundant number, since it is smaller than the sum of its proper divisors (111978526312816).

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

101214143200304 is a wasteful number, since it uses less digits than its factorization.

101214143200304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137105038 (or 137105032 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 101214143200304 its reverse (403002341412101), we get a palindrome (504216484612405).

The spelling of 101214143200304 in words is "one hundred one trillion, two hundred fourteen billion, one hundred forty-three million, two hundred thousand, three hundred four".

Divisors: 1 2 4 8 16 29 37 43 58 74 86 116 148 172 232 296 344 464 592 688 1073 1247 1591 2146 2494 3182 4292 4988 6364 8584 9976 12728 17168 19952 25456 46139 92278 184556 369112 738224 137104921 274209842 548419684 1096839368 2193678736 3976042709 5072882077 5895511603 7952085418 10145764154 11791023206 15904170836 20291528308 23582046412 31808341672 40583056616 47164092824 63616683344 81166113232 94328185648 147113580233 170969836487 218133929311 294227160466 341939672974 436267858622 588454320932 683879345948 872535717244 1176908641864 1367758691896 1745071434488 2353817283728 2735517383792 3490142868976 6325883950019 12651767900038 25303535800076 50607071600152 101214143200304