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201310421314002 = 2371113107893106703
BaseRepresentation
bin101101110001011100111100…
…001001101110100111010010
3222101210002101101112010002020
4231301130330021232213102
5202341232220324022002
61552052421510032310
760255124622563650
oct5561347411564722
9871702341463066
10201310421314002
11591642a7752a40
121a6b3384948696
1388436504385c0
14379d695283dd0
15184182cd462bc
hexb7173c26e9d2

201310421314002 has 128 divisors (see below), whose sum is σ = 540632109588480. Its totient is φ = 48261745693440.

The previous prime is 201310421313941. The next prime is 201310421314007. The reversal of 201310421314002 is 200413124013102.

It is not an unprimeable number, because it can be changed into a prime (201310421314007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63245383 + ... + 66352085.

It is an arithmetic number, because the mean of its divisors is an integer number (4223688356160).

Almost surely, 2201310421314002 is an apocalyptic number.

201310421314002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 201310421314002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270316054794240).

201310421314002 is an abundant number, since it is smaller than the sum of its proper divisors (339321688274478).

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

201310421314002 is a wasteful number, since it uses less digits than its factorization.

201310421314002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3117528.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 201310421314002 its reverse (200413124013102), we get a palindrome (401723545327104).

The spelling of 201310421314002 in words is "two hundred one trillion, three hundred ten billion, four hundred twenty-one million, three hundred fourteen thousand, two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 858 1001 2002 3003 6006 10789 21578 32367 64734 75523 118679 140257 151046 226569 237358 280514 356037 420771 453138 712074 830753 841542 981799 1542827 1661506 1963598 2492259 2945397 3085654 3106703 4628481 4984518 5890794 6213406 9256962 9320109 10799789 18640218 21599578 21746921 32399367 34173733 40387139 43493842 64798734 65240763 68347466 80774278 102521199 121161417 130481526 205042398 239216131 242322834 282709973 444258529 478432262 565419946 717648393 848129919 888517058 1332775587 1435296786 1696259838 2665551174 3109809703 6219619406 9329429109 18658858218 33518218667 67036437334 100554656001 201109312002 234627530669 368700405337 435736842671 469255061338 703882592007 737400810674 871473685342 1106101216011 1307210528013 1407765184014 2212202432022 2580902837359 2614421056026 3050157898697 4793105269381 5161805674718 6100315797394 7742708512077 9150473696091 9586210538762 14379315808143 15485417024154 18300947392182 28758631616286 33551736885667 67103473771334 100655210657001 201310421314002