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130104042000 = 24353112319309
BaseRepresentation
bin111100100101011001…
…1100010001000010000
3110102211011201010102020
41321022303202020100
54112423113321000
6135434033051440
712254046052542
oct1711263421020
9412734633366
10130104042000
11501a4381459
122126b6b6b80
13c36560204a
14642322d692
1535b7065ba0
hex1e4ace2210

130104042000 has 160 divisors (see below), whose sum is σ = 419850687360. Its totient is φ = 34661721600.

The previous prime is 130104041987. The next prime is 130104042037. The reversal of 130104042000 is 240401031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6728346 + ... + 6747654.

It is an arithmetic number, because the mean of its divisors is an integer number (2624066796).

Almost surely, 2130104042000 is an apocalyptic number.

130104042000 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 130104042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209925343680).

130104042000 is an abundant number, since it is smaller than the sum of its proper divisors (289746645360).

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

130104042000 is a wasteful number, since it uses less digits than its factorization.

130104042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20458 (or 20442 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 130104042000 its reverse (240401031), we get a palindrome (130344443031).

The spelling of 130104042000 in words is "one hundred thirty billion, one hundred four million, forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1123 1200 1500 2000 2246 3000 3369 4492 5615 6000 6738 8984 11230 13476 16845 17968 19309 22460 26952 28075 33690 38618 44920 53904 56150 57927 67380 77236 84225 89840 96545 112300 115854 134760 140375 154472 168450 193090 224600 231708 269520 280750 289635 308944 336900 386180 421125 449200 463416 482725 561500 579270 673800 772360 842250 926832 965450 1123000 1158540 1347600 1448175 1544720 1684500 1930900 2246000 2317080 2413625 2896350 3369000 3861800 4634160 4827250 5792700 6738000 7240875 7723600 9654500 11585400 14481750 19309000 21684007 23170800 28963500 38618000 43368014 57927000 65052021 86736028 108420035 115854000 130104042 173472056 216840070 260208084 325260105 346944112 433680140 520416168 542100175 650520210 867360280 1040832336 1084200350 1301040420 1626300525 1734720560 2168400700 2602080840 2710500875 3252601050 4336801400 5204161680 5421001750 6505202100 8131502625 8673602800 10842003500 13010404200 16263005250 21684007000 26020808400 32526010500 43368014000 65052021000 130104042000