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103553146143 = 344329731021
BaseRepresentation
bin110000001110000111…
…1111001110100011111
3100220021210111212110000
41200130033321310133
53144034101134033
6115323251145343
710324100135106
oct1403417716437
9326253455400
10103553146143
113aa0a062417
121809b8a5253
1399c3996495
145024cd503d
152a61143a13
hex181c3f9d1f

103553146143 has 20 divisors (see below), whose sum is σ = 158287961128. Its totient is φ = 67429953360.

The previous prime is 103553146133. The next prime is 103553146159. The reversal of 103553146143 is 341641355301.

103553146143 is a `hidden beast` number, since 1 + 0 + 3 + 5 + 5 + 31 + 4 + 614 + 3 = 666.

It is not a de Polignac number, because 103553146143 - 218 = 103552883999 is a prime.

It is a super-3 number, since 3×1035531461433 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103553146098 and 103553146107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103553146133) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14862028 + ... + 14868993.

Almost surely, 2103553146143 is an apocalyptic number.

103553146143 is a deficient number, since it is larger than the sum of its proper divisors (54734814985).

103553146143 is an equidigital number, since it uses as much as digits as its factorization.

103553146143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29731076 (or 29731067 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 103553146143 in words is "one hundred three billion, five hundred fifty-three million, one hundred forty-six thousand, one hundred forty-three".

Divisors: 1 3 9 27 43 81 129 387 1161 3483 29731021 89193063 267579189 802737567 1278433903 2408212701 3835301709 11505905127 34517715381 103553146143