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101433424430 = 251321133710973
BaseRepresentation
bin101111001110111100…
…1110011101000101110
3100200211001212211220102
41132131321303220232
53130213424040210
6114333050151102
710220420611322
oct1363571635056
9320731784812
10101433424430
113a021584098
12177a9a22492
139746791a90
144ca3593982
152989ed2ea5
hex179de73a2e

101433424430 has 64 divisors (see below), whose sum is σ = 198160941888. Its totient is φ = 37160847360.

The previous prime is 101433424427. The next prime is 101433424501. The reversal of 101433424430 is 34424334101.

It is a happy number.

101433424430 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 101433424393 and 101433424402.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 9238424 + ... + 9249396.

It is an arithmetic number, because the mean of its divisors is an integer number (3096264717).

Almost surely, 2101433424430 is an apocalyptic number.

101433424430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101433424430 is a deficient number, since it is larger than the sum of its proper divisors (96727517458).

101433424430 is a wasteful number, since it uses less digits than its factorization.

101433424430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11541.

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 101433424430 its reverse (34424334101), we get a palindrome (135857758531).

The spelling of 101433424430 in words is "one hundred one billion, four hundred thirty-three million, four hundred twenty-four thousand, four hundred thirty".

Divisors: 1 2 5 10 13 26 65 130 211 337 422 674 1055 1685 2110 2743 3370 4381 5486 8762 10973 13715 21905 21946 27430 43810 54865 71107 109730 142214 142649 285298 355535 711070 713245 924391 1426490 1848782 2315303 3697901 4621955 4630606 7395802 9243910 11576515 18489505 23153030 30098939 36979010 48072713 60197878 96145426 150494695 240363565 300989390 480727130 780257111 1560514222 3901285555 7802571110 10143342443 20286684886 50716712215 101433424430