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10143361431 = 337173310223
BaseRepresentation
bin10010111001001011…
…10110100110010111
3222011220112011001000
421130211312212113
5131233200031211
64354303234343
7506235102210
oct113445664627
928156464030
1010143361431
114335732635
121b70ba89b3
13c58603818
146c3200407
153e577a656
hex25c976997

10143361431 has 32 divisors (see below), whose sum is σ = 17273272320. Its totient is φ = 5762683872.

The previous prime is 10143361427. The next prime is 10143361453. The reversal of 10143361431 is 13416334101.

10143361431 is a `hidden beast` number, since 1 + 0 + 1 + 43 + 3 + 614 + 3 + 1 = 666.

It is not a de Polignac number, because 10143361431 - 22 = 10143361427 is a prime.

It is a super-2 number, since 2×101433614312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10143361395 and 10143361404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10143361471) by changing a digit.

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, 122415 + ... + 187808.

It is an arithmetic number, because the mean of its divisors is an integer number (539789760).

Almost surely, 210143361431 is an apocalyptic number.

10143361431 is a deficient number, since it is larger than the sum of its proper divisors (7129910889).

10143361431 is a wasteful number, since it uses less digits than its factorization.

10143361431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310412 (or 310406 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 10143361431 its reverse (13416334101), we get a palindrome (23559695532).

The spelling of 10143361431 in words is "ten billion, one hundred forty-three million, three hundred sixty-one thousand, four hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 173 189 519 1211 1557 3633 4671 10899 32697 310223 930669 2171561 2792007 6514683 8376021 19544049 53668579 58632147 161005737 375680053 483017211 1127040159 1449051633 3381120477 10143361431