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10403212424143 = 7112317929317117
BaseRepresentation
bin1001011101100010111111…
…0001111111001111001111
31100211112111202112200022011
42113120233301333033033
52330421234340033033
634043100402402051
72122415205402340
oct227305761771717
940745452480264
1010403212424143
113350a83225200
121200266960327
135a6032195446
1427d737bd20c7
15130928890ccd
hex9762fc7f3cf

10403212424143 has 96 divisors (see below), whose sum is σ = 13708247777280. Its totient is φ = 7718713516800.

The previous prime is 10403212424117. The next prime is 10403212424161. The reversal of 10403212424143 is 34142421230401.

It is a happy number.

It is not a de Polignac number, because 10403212424143 - 221 = 10403210326991 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10403212424743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 607762221 + ... + 607779337.

It is an arithmetic number, because the mean of its divisors is an integer number (142794247680).

Almost surely, 210403212424143 is an apocalyptic number.

10403212424143 is a deficient number, since it is larger than the sum of its proper divisors (3305035353137).

10403212424143 is a wasteful number, since it uses less digits than its factorization.

10403212424143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17549 (or 17538 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 10403212424143 its reverse (34142421230401), we get a palindrome (44545633654544).

The spelling of 10403212424143 in words is "ten trillion, four hundred three billion, two hundred twelve million, four hundred twenty-four thousand, one hundred forty-three".

Divisors: 1 7 11 31 77 79 121 217 293 341 553 847 869 2051 2387 2449 3223 3751 6083 9083 9559 17117 17143 22561 23147 26257 26939 35453 63581 66913 99913 119819 162029 188287 188573 248171 254617 296329 530627 699391 717557 1099043 1318009 1352243 1782319 2071157 2074303 2800787 3714389 5015281 5022899 5836897 7693301 7893127 9465701 14498099 14874673 19605509 35106967 40858279 41919533 55168091 55251889 64205867 86824397 104122711 155473711 163621403 293436731 386176637 396207199 449441069 461114863 606849001 607770779 1088315977 1145349821 1710210821 2773450393 3227804041 4247943007 4358279189 5072263493 11971475747 12282423169 18812319031 30507954323 35505844451 47941071079 85976962183 131686233217 135106654859 335587497553 945746584013 1486173203449 10403212424143