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42103422333 = 32721812392207
BaseRepresentation
bin100111001101100011…
…110011110101111101
311000200021000110111100
4213031203303311331
51142211434003313
631201514243313
73020235120300
oct471543636575
9130607013440
1042103422333
1116946314405
1281b0426539
133c7ca9b06b
142075aa8b37
1511664c8173
hex9cd8f3d7d

42103422333 has 72 divisors (see below), whose sum is σ = 71466071040. Its totient is φ = 23815270080.

The previous prime is 42103422323. The next prime is 42103422349. The reversal of 42103422333 is 33322430124.

42103422333 is a `hidden beast` number, since 421 + 0 + 3 + 4 + 2 + 233 + 3 = 666.

It is not a de Polignac number, because 42103422333 - 25 = 42103422301 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42103422297 and 42103422306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42103422323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19076116 + ... + 19078322.

It is an arithmetic number, because the mean of its divisors is an integer number (992584320).

Almost surely, 242103422333 is an apocalyptic number.

It is an amenable number.

42103422333 is a deficient number, since it is larger than the sum of its proper divisors (29362648707).

42103422333 is a wasteful number, since it uses less digits than its factorization.

42103422333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2647 (or 2637 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 42103422333 its reverse (33322430124), we get a palindrome (75425852457).

The spelling of 42103422333 in words is "forty-two billion, one hundred three million, four hundred twenty-two thousand, three hundred thirty-three".

Divisors: 1 3 7 9 21 49 63 147 181 239 441 543 717 1267 1629 1673 2151 2207 3801 5019 6621 8869 11403 11711 15057 15449 19863 26607 35133 43259 46347 79821 105399 108143 129777 139041 302813 324429 389331 399467 527473 908439 973287 1198401 1582419 2119691 2725317 2796269 3595203 3692311 4747257 6359073 8388807 11076933 19077219 19573883 25166421 25846177 33230799 58721649 77538531 95472613 176164947 232615593 286417839 668308291 859253517 2004924873 4678158037 6014774619 14034474111 42103422333