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10422211114314 = 2327927741963149
BaseRepresentation
bin1001011110101001110000…
…1100001111010101001010
31100220100112210221010200200
42113222130030033111022
52331224142021124224
634055521522313030
72123660051531526
oct227523414172512
940810483833620
1010422211114314
11335904251633a
121203a894b8776
135a7a6c29494c
1428061b108d86
1513118b76c5c9
hex97a9c30f54a

10422211114314 has 96 divisors (see below), whose sum is σ = 23004989280000. Its totient is φ = 3409500961152.

The previous prime is 10422211114309. The next prime is 10422211114331. The reversal of 10422211114314 is 41341111222401.

10422211114314 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 2 + 211 + 11 + 431 + 4 = 666.

10422211114314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×104222111143142 (a number of 27 digits) contains 22 as substring.

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, 165010012 + ... + 165073160.

It is an arithmetic number, because the mean of its divisors is an integer number (239635305000).

Almost surely, 210422211114314 is an apocalyptic number.

10422211114314 is an abundant number, since it is smaller than the sum of its proper divisors (12582778165686).

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

10422211114314 is a wasteful number, since it uses less digits than its factorization.

10422211114314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63932 (or 63929 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 10422211114314 its reverse (41341111222401), we get a palindrome (51763322336715).

The spelling of 10422211114314 in words is "ten trillion, four hundred twenty-two billion, two hundred eleven million, one hundred fourteen thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 79 158 237 277 419 474 554 711 831 838 1257 1422 1662 2493 2514 3771 4986 7542 21883 33101 43766 63149 65649 66202 99303 116063 126298 131298 189447 196947 198606 232126 297909 348189 378894 393894 568341 595818 696378 1044567 1136682 2089134 4988771 9168977 9977542 14966313 17492273 18337954 26459431 27506931 29932626 34984546 44898939 52476819 52918862 55013862 79378293 82520793 89797878 104953638 157430457 158756586 165041586 238134879 314860914 476269758 1381889567 2090295049 2763779134 4145668701 4180590098 6270885147 7329262387 8291337402 12437006103 12541770294 14658524774 18812655441 21987787161 24874012206 37625310882 43975574322 65963361483 131926722966 579011728573 1158023457146 1737035185719 3474070371438 5211105557157 10422211114314