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103332420441 = 33171973373391
BaseRepresentation
bin110000000111100010…
…1111001101101011001
3100212201102011211201000
41200033011321231121
53143111044423231
6115245324215213
710315450036665
oct1401705715531
9325642154630
10103332420441
113a906503988
121803999a509
13998a033663
1450038798a5
152a4ba936e6
hex180f179b59

103332420441 has 64 divisors (see below), whose sum is σ = 163444469760. Its totient is φ = 64296529920.

The previous prime is 103332420437. The next prime is 103332420469. The reversal of 103332420441 is 144024233301.

It is not a de Polignac number, because 103332420441 - 22 = 103332420437 is a prime.

It is a super-2 number, since 2×1033324204412 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (103332420041) 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 63 ways as a sum of consecutive naturals, for example, 30470856 + ... + 30474246.

It is an arithmetic number, because the mean of its divisors is an integer number (2553819840).

Almost surely, 2103332420441 is an apocalyptic number.

It is an amenable number.

103332420441 is a deficient number, since it is larger than the sum of its proper divisors (60112049319).

103332420441 is a wasteful number, since it uses less digits than its factorization.

103332420441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3951 (or 3945 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 103332420441 its reverse (144024233301), we get a palindrome (247356653742).

The spelling of 103332420441 in words is "one hundred three billion, three hundred thirty-two million, four hundred twenty thousand, four hundred forty-one".

Divisors: 1 3 9 17 27 51 153 197 337 459 591 1011 1773 3033 3349 3391 5319 5729 9099 10047 10173 17187 30141 30519 51561 57647 66389 90423 91557 154683 172941 199167 518823 597501 668027 1128613 1142767 1556469 1792503 2004081 3385839 3428301 6012243 10157517 10284903 11356459 18036729 19427039 30472551 30854709 34069377 58281117 102208131 174843351 225125099 306624393 524530053 675375297 2026125891 3827126683 6078377673 11481380049 34444140147 103332420441