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120000134100 = 223527115194811
BaseRepresentation
bin110111111000010010…
…0001011101111010100
3102110202000102102110010
41233300210023233110
53431230013242400
6131043255200220
711445500211240
oct1576044135724
9373660372403
10120000134100
1146989a46950
121b30b976070
13b415233412
145b4537d420
1531c4ed0450
hex1bf090bbd4

120000134100 has 144 divisors (see below), whose sum is σ = 432873294336. Its totient is φ = 24935088000.

The previous prime is 120000134071. The next prime is 120000134101. The reversal of 120000134100 is 1431000021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120000134101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2574306 + ... + 2620505.

It is an arithmetic number, because the mean of its divisors is an integer number (3006064544).

Almost surely, 2120000134100 is an apocalyptic number.

120000134100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120000134100 is an abundant number, since it is smaller than the sum of its proper divisors (312873160236).

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

120000134100 is a wasteful number, since it uses less digits than its factorization.

120000134100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5194846 (or 5194839 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 120000134100 its reverse (1431000021), we get a palindrome (121431134121).

The spelling of 120000134100 in words is "one hundred twenty billion, one hundred thirty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 25 28 30 33 35 42 44 50 55 60 66 70 75 77 84 100 105 110 132 140 150 154 165 175 210 220 231 275 300 308 330 350 385 420 462 525 550 660 700 770 825 924 1050 1100 1155 1540 1650 1925 2100 2310 3300 3850 4620 5775 7700 11550 23100 5194811 10389622 15584433 20779244 25974055 31168866 36363677 51948110 57142921 62337732 72727354 77922165 103896220 109091031 114285842 129870275 145454708 155844330 171428763 181818385 218182062 228571684 259740550 285714605 311688660 342857526 363636770 389610825 400000447 436364124 519481100 545455155 571429210 685715052 727273540 779221650 800000894 857143815 909091925 1090910310 1142858420 1200001341 1428573025 1558443300 1600001788 1714287630 1818183850 2000002235 2181820620 2400002682 2727275775 2857146050 3428575260 3636367700 4000004470 4285719075 4800005364 5454551550 5714292100 6000006705 8000008940 8571438150 10000011175 10909103100 12000013410 17142876300 20000022350 24000026820 30000033525 40000044700 60000067050 120000134100