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10201322312214 = 23116611127320743
BaseRepresentation
bin1001010001110010111000…
…1100010101001000010110
31100010020101200200100200020
42110130232030111020112
52314114302002442324
633410231152530010
72102010163641045
oct224345614251026
940106350610606
1010201322312214
1132833a1551a30
121189102250906
1358cc993c5357
14273a64a9c55c
1512a55e513679
hex9472e315216

10201322312214 has 64 divisors (see below), whose sum is σ = 22294154976768. Its totient is φ = 3086210476800.

The previous prime is 10201322312189. The next prime is 10201322312249. The reversal of 10201322312214 is 41221322310201.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 491785527 + ... + 491806269.

It is an arithmetic number, because the mean of its divisors is an integer number (348346171512).

Almost surely, 210201322312214 is an apocalyptic number.

10201322312214 is an abundant number, since it is smaller than the sum of its proper divisors (12092832664554).

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

10201322312214 is a wasteful number, since it uses less digits than its factorization.

10201322312214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32693.

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

Adding to 10201322312214 its reverse (41221322310201), we get a palindrome (51422644622415).

The spelling of 10201322312214 in words is "ten trillion, two hundred one billion, three hundred twenty-two million, three hundred twelve thousand, two hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 661 1322 1983 3966 7271 11273 14542 20743 21813 22546 33819 41486 43626 62229 67638 124003 124458 228173 248006 372009 456346 684519 744018 1369038 7451453 13711123 14902906 22354359 27422246 41133369 44708718 81965983 82266738 150822353 163931966 233835839 245897949 301644706 452467059 467671678 491795898 701507517 904934118 1403015034 2572194229 5144388458 7716582687 15433165374 154565489579 309130979158 463696468737 927392937474 1700220385369 3400440770738 5100661156107 10201322312214