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42133424103 = 33193111092389
BaseRepresentation
bin100111001111010110…
…010000011111100111
311000202100110201012000
4213033112100133213
51142242124032403
631204505300343
73021051124101
oct471726203747
9130670421160
1042133424103
1116961246161
1281ba4946b3
133c86073aa4
142079a78571
151168e527a3
hex9cf5907e7

42133424103 has 64 divisors (see below), whose sum is σ = 67914240000. Its totient is φ = 25718186880.

The previous prime is 42133424077. The next prime is 42133424117. The reversal of 42133424103 is 30142433124.

42133424103 is a `hidden beast` number, since 4 + 2 + 133 + 424 + 103 = 666.

It is not a de Polignac number, because 42133424103 - 216 = 42133358567 is a prime.

It is a super-2 number, since 2×421334241032 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42133424143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17635233 + ... + 17637621.

It is an arithmetic number, because the mean of its divisors is an integer number (1061160000).

Almost surely, 242133424103 is an apocalyptic number.

42133424103 is a deficient number, since it is larger than the sum of its proper divisors (25780815897).

42133424103 is a wasteful number, since it uses less digits than its factorization.

42133424103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3557 (or 3551 counting only the distinct ones).

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

Adding to 42133424103 its reverse (30142433124), we get a palindrome (72275857227).

The spelling of 42133424103 in words is "forty-two billion, one hundred thirty-three million, four hundred twenty-four thousand, one hundred three".

Divisors: 1 3 9 19 27 31 57 93 171 279 513 589 837 1109 1767 2389 3327 5301 7167 9981 15903 21071 21501 29943 34379 45391 63213 64503 74059 103137 136173 189639 222177 309411 408519 568917 653201 666531 928233 1225557 1407121 1959603 1999593 2649401 4221363 5878809 7948203 12664089 17636427 23844609 37992267 50338619 71533827 82131431 151015857 246394293 453047571 739182879 1359142713 1560497189 2217548637 4681491567 14044474701 42133424103