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130433141234100 = 22352719360444479
BaseRepresentation
bin11101101010000011010101…
…000011001101100110110100
3122002211021201212122210020110
4131222003111003031212310
5114044004033123442400
61141224054033503020
736321324555354315
oct3552032503154664
9562737655583213
10130433141234100
11386184259292a1
1212766997111a70
1357a1a3bcbcb03
14242cdd7a5860c
151012cea75be50
hex76a0d50cd9b4

130433141234100 has 72 divisors (see below), whose sum is σ = 377439027356160. Its totient is φ = 34777334862080.

The previous prime is 130433141234089. The next prime is 130433141234129. The reversal of 130433141234100 is 1432141334031.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 28064340 + ... + 32380139.

It is an arithmetic number, because the mean of its divisors is an integer number (5242208713280).

Almost surely, 2130433141234100 is an apocalyptic number.

130433141234100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130433141234100 is an abundant number, since it is smaller than the sum of its proper divisors (247005886122060).

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

130433141234100 is a wasteful number, since it uses less digits than its factorization.

130433141234100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60451689 (or 60451682 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 130433141234100 its reverse (1432141334031), we get a palindrome (131865282568131).

The spelling of 130433141234100 in words is "one hundred thirty trillion, four hundred thirty-three billion, one hundred forty-one million, two hundred thirty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 7193 14386 21579 28772 35965 43158 71930 86316 107895 143860 179825 215790 359650 431580 539475 719300 1078950 2157900 60444479 120888958 181333437 241777916 302222395 362666874 604444790 725333748 906667185 1208889580 1511111975 1813334370 3022223950 3626668740 4533335925 6044447900 9066671850 18133343700 434777137447 869554274894 1304331412341 1739108549788 2173885687235 2608662824682 4347771374470 5217325649364 6521657061705 8695542748940 10869428436175 13043314123410 21738856872350 26086628246820 32608285308525 43477713744700 65216570617050 130433141234100