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1311450221312 = 28711371798123
BaseRepresentation
bin10011000101011000100…
…001100100101100000000
311122101002012221221222222
4103011120201210230000
5132441322224040222
62442245533350212
7163514646644660
oct23053041445400
94571065857888
101311450221312
11466201507a10
12192202038368
139689139841a
14476901741a0
15241a9298542
hex13158864b00

1311450221312 has 144 divisors (see below), whose sum is σ = 3351933295872. Its totient is φ = 497144770560.

The previous prime is 1311450221239. The next prime is 1311450221369. The reversal of 1311450221312 is 2131220541131.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169718 + ... + 1628405.

Almost surely, 21311450221312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311450221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675966647936).

1311450221312 is an abundant number, since it is smaller than the sum of its proper divisors (2040483074560).

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

1311450221312 is a wasteful number, since it uses less digits than its factorization.

1311450221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1798194 (or 1798180 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

Adding to 1311450221312 its reverse (2131220541131), we get a palindrome (3442670762443).

The spelling of 1311450221312 in words is "one trillion, three hundred eleven billion, four hundred fifty million, two hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 37 44 56 64 74 77 88 112 128 148 154 176 224 256 259 296 308 352 407 448 518 592 616 704 814 896 1036 1184 1232 1408 1628 1792 2072 2368 2464 2816 2849 3256 4144 4736 4928 5698 6512 8288 9472 9856 11396 13024 16576 19712 22792 26048 33152 45584 52096 66304 91168 104192 182336 364672 729344 1798123 3596246 7192492 12586861 14384984 19779353 25173722 28769968 39558706 50347444 57539936 66530551 79117412 100694888 115079872 133061102 138455471 158234824 201389776 230159744 266122204 276910942 316469648 402779552 460319488 465713857 532244408 553821884 632939296 731836061 805559104 931427714 1064488816 1107643768 1265878592 1463672122 1611118208 1862855428 2128977632 2215287536 2531757184 2927344244 3222236416 3725710856 4257955264 4430575072 5063514368 5122852427 5854688488 7451421712 8515910528 8861150144 10245704854 11709376976 14902843424 17031821056 17722300288 20491409708 23418753952 29805686848 35444600576 40982819416 46837507904 59611373696 81965638832 93675015808 119222747392 163931277664 187350031616 327862555328 655725110656 1311450221312