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2141021514512 = 2422939710131453
BaseRepresentation
bin11111001001111110110…
…100111010101100010000
321120200100110201001012002
4133021332310322230100
5240034303001431022
64315323253253132
7310453336412546
oct37117664725420
97520313631162
102141021514512
117560029129a1
122a6b3b9341a8
13126b8895710a
14758a9a29d96
153aa5d730092
hex1f27ed3ab10

2141021514512 has 80 divisors (see below), whose sum is σ = 4183838995440. Its totient is φ = 1061370832896.

The previous prime is 2141021514487. The next prime is 2141021514553. The reversal of 2141021514512 is 2154151201412.

It can be written as a sum of positive squares in 8 ways, for example, as 175540888576 + 1965480625936 = 418976^2 + 1401956^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1473517178 + ... + 1473518630.

It is an arithmetic number, because the mean of its divisors is an integer number (52297987443).

Almost surely, 22141021514512 is an apocalyptic number.

It is an amenable number.

2141021514512 is a deficient number, since it is larger than the sum of its proper divisors (2042817480928).

2141021514512 is a wasteful number, since it uses less digits than its factorization.

2141021514512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3100 (or 3094 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 29.

Adding to 2141021514512 its reverse (2154151201412), we get a palindrome (4295172715924).

The spelling of 2141021514512 in words is "two trillion, one hundred forty-one billion, twenty-one million, five hundred fourteen thousand, five hundred twelve".

Divisors: 1 2 4 8 16 229 397 458 794 916 1013 1453 1588 1832 2026 2906 3176 3664 4052 5812 6352 8104 11624 16208 23248 90913 181826 231977 332737 363652 402161 463954 576841 665474 727304 804322 927908 1153682 1330948 1454608 1471889 1608644 1855816 2307364 2661896 2943778 3217288 3711632 4614728 5323792 5887556 6434576 9229456 11775112 23550224 92094869 132096589 184189738 264193178 337062581 368379476 528386356 584339933 674125162 736758952 1056772712 1168679866 1348250324 1473517904 2113545424 2337359732 2696500648 4674719464 5393001296 9349438928 133813844657 267627689314 535255378628 1070510757256 2141021514512