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201343440012 = 2231121327193923
BaseRepresentation
bin1011101110000100000…
…0010001010010001100
3201020200222012111201220
42323201000101102030
511244322410040022
6232255040403340
720355323000511
oct2734100212214
9636628174656
10201343440012
1178431139600
1233031616550
1315ca97566b0
149a606ad308
15538639585c
hex2ee101148c

201343440012 has 144 divisors (see below), whose sum is σ = 556462126080. Its totient is φ = 56284778880.

The previous prime is 201343439953. The next prime is 201343440031. The reversal of 201343440012 is 210044343102.

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, 51321883 + ... + 51325805.

It is an arithmetic number, because the mean of its divisors is an integer number (3864320320).

Almost surely, 2201343440012 is an apocalyptic number.

201343440012 is a gapful number since it is divisible by the number (22) 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 201343440012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278231063040).

201343440012 is an abundant number, since it is smaller than the sum of its proper divisors (355118686068).

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

201343440012 is a wasteful number, since it uses less digits than its factorization.

201343440012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6684 (or 6671 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 201343440012 its reverse (210044343102), we get a palindrome (411387783114).

The spelling of 201343440012 in words is "two hundred one billion, three hundred forty-three million, four hundred forty thousand, twelve".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 121 132 143 156 242 286 363 429 484 572 726 858 1452 1573 1716 2719 3146 3923 4719 5438 6292 7846 8157 9438 10876 11769 15692 16314 18876 23538 29909 32628 35347 43153 47076 50999 59818 70694 86306 89727 101998 106041 119636 129459 141388 152997 172612 179454 203996 212082 258918 305994 328999 358908 388817 424164 474683 517836 560989 611988 657998 777634 949366 986997 1121978 1166451 1315996 1424049 1555268 1682967 1898732 1973994 2243956 2332902 2848098 3365934 3947988 4276987 4665804 5696196 6170879 6731868 8553974 10666637 12341758 12830961 17107948 18512637 21333274 24683516 25661922 31999911 37025274 42666548 51323844 63999822 74050548 117333007 127999644 138666281 234666014 277332562 351999021 415998843 469332028 554665124 703998042 831997686 1290663077 1407996084 1525329091 1663995372 2581326154 3050658182 3871989231 4575987273 5162652308 6101316364 7743978462 9151974546 15487956924 16778620001 18303949092 33557240002 50335860003 67114480004 100671720006 201343440012