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141130304100 = 22335264780789
BaseRepresentation
bin1000001101110000000…
…1011000101001100100
3111111021121120021111000
42003130001120221210
54303013324212400
6144500120113300
713124224535352
oct2033401305144
9444247507430
10141130304100
1154942417365
1223428305830
1310401ac31a6
146b8b7b87d2
153a10091600
hex20dc058a64

141130304100 has 144 divisors (see below), whose sum is σ = 454414665600. Its totient is φ = 37576114560.

The previous prime is 141130304089. The next prime is 141130304113. The reversal of 141130304100 is 1403031141.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1706506 + ... + 1787294.

It is an arithmetic number, because the mean of its divisors is an integer number (3155657400).

Almost surely, 2141130304100 is an apocalyptic number.

141130304100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141130304100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227207332800).

141130304100 is an abundant number, since it is smaller than the sum of its proper divisors (313284361500).

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

141130304100 is a wasteful number, since it uses less digits than its factorization.

141130304100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81459 (or 81446 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 141130304100 its reverse (1403031141), we get a palindrome (142533335241).

The spelling of 141130304100 in words is "one hundred forty-one billion, one hundred thirty million, three hundred four thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 647 675 900 1294 1350 1941 2588 2700 3235 3882 5823 6470 7764 9705 11646 12940 16175 17469 19410 23292 29115 32350 34938 38820 48525 58230 64700 69876 80789 87345 97050 116460 145575 161578 174690 194100 242367 291150 323156 349380 403945 436725 484734 582300 727101 807890 873450 969468 1211835 1454202 1615780 1746900 2019725 2181303 2423670 2908404 3635505 4039450 4362606 4847340 6059175 7271010 8078900 8725212 10906515 12118350 14542020 18177525 21813030 24236700 36355050 43626060 52270483 54532575 72710100 104540966 109065150 156811449 209081932 218130300 261352415 313622898 470434347 522704830 627245796 784057245 940868694 1045409660 1306762075 1411303041 1568114490 1881737388 2352171735 2613524150 2822606082 3136228980 3920286225 4704343470 5227048300 5645212164 7056515205 7840572450 9408686940 11760858675 14113030410 15681144900 23521717350 28226060820 35282576025 47043434700 70565152050 141130304100