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10214342411 = 71319127181257
BaseRepresentation
bin10011000001101001…
…00111111100001011
3222100212002100122012
421200310213330023
5131404332424121
64405320450135
7511056322640
oct114064477413
928325070565
1010214342411
1143718036a9
121b9091994b
13c6a2269c0
146cc7d9dc7
153ebaebc5b
hex260d27f0b

10214342411 has 64 divisors (see below), whose sum is σ = 13463224320. Its totient is φ = 7524679680.

The previous prime is 10214342401. The next prime is 10214342429. The reversal of 10214342411 is 11424341201.

10214342411 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10214342411 - 222 = 10210148107 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10214342401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39744395 + ... + 39744651.

It is an arithmetic number, because the mean of its divisors is an integer number (210362880).

Almost surely, 210214342411 is an apocalyptic number.

10214342411 is a deficient number, since it is larger than the sum of its proper divisors (3248881909).

10214342411 is a wasteful number, since it uses less digits than its factorization.

10214342411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 10214342411 its reverse (11424341201), we get a palindrome (21638683612).

The spelling of 10214342411 in words is "ten billion, two hundred fourteen million, three hundred forty-two thousand, four hundred eleven".

Divisors: 1 7 13 19 91 127 133 181 247 257 889 1267 1651 1729 1799 2353 2413 3341 3439 4883 11557 16471 16891 22987 23387 24073 31369 32639 34181 44707 46517 63479 160909 219583 228473 298831 312949 325619 424307 436753 444353 604721 620141 883823 2091817 2970149 3057271 4233047 4340987 5677789 5907659 6186761 8061833 11489699 39744523 41353613 56432831 76799567 80427893 112245521 537596969 785718647 1459191773 10214342411