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101024441430 = 23511578352937
BaseRepresentation
bin101111000010110000…
…1101010010001010110
3100122202120022100200220
41132011201222101112
53123344224111210
6114224320215210
710204323404133
oct1360541522126
9318676270626
10101024441430
1139931733110
12176b4a6a506
1396acb267c3
144c6513158a
152964147c70
hex178586a456

101024441430 has 64 divisors (see below), whose sum is σ = 264551090688. Its totient is φ = 24486076160.

The previous prime is 101024441429. The next prime is 101024441449. The reversal of 101024441430 is 34144420101.

It is a self number, because there is not a number n which added to its sum of digits gives 101024441430.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1881922 + ... + 1934858.

It is an arithmetic number, because the mean of its divisors is an integer number (4133610792).

Almost surely, 2101024441430 is an apocalyptic number.

101024441430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101024441430 is an abundant number, since it is smaller than the sum of its proper divisors (163526649258).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101024441430 is a wasteful number, since it uses less digits than its factorization.

101024441430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58741.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 101024441430 its reverse (34144420101), we get a palindrome (135168861531).

The spelling of 101024441430 in words is "one hundred one billion, twenty-four million, four hundred forty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 5783 11566 17349 28915 34698 52937 57830 63613 86745 105874 127226 158811 173490 190839 264685 317622 318065 381678 529370 582307 636130 794055 954195 1164614 1588110 1746921 1908390 2911535 3493842 5823070 8734605 17469210 306134671 612269342 918404013 1530673355 1836808026 3061346710 3367481381 4592020065 6734962762 9184040130 10102444143 16837406905 20204888286 33674813810 50512220715 101024441430