Search a number
-
+
120210010101120 = 2735197317814113
BaseRepresentation
bin11011010101010010010010…
…111100110101010110000000
3120202121222001021211112200210
4123111102102330311112000
5111224010100041213440
61103355414414114120
734214613053453352
oct3325222274652600
9522558037745623
10120210010101120
1135336862919555
12115956091ab940
13520c9a8561bb4
1421982a47830d2
15dd6e117d0a80
hex6d5492f35580

120210010101120 has 128 divisors (see below), whose sum is σ = 385114430780640. Its totient is φ = 31893281767424.

The previous prime is 120210010100977. The next prime is 120210010101131. The reversal of 120210010101120 is 21101010012021.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1202100101011202 (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 120210010101096 and 120210010101105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158528817 + ... + 159285296.

Almost surely, 2120210010101120 is an apocalyptic number.

120210010101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120210010101120 is an abundant number, since it is smaller than the sum of its proper divisors (264904420679520).

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

120210010101120 is a wasteful number, since it uses less digits than its factorization.

120210010101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317814332 (or 317814320 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 120210010101120 its reverse (21101010012021), we get a palindrome (141311020113141).

The spelling of 120210010101120 in words is "one hundred twenty trillion, two hundred ten billion, ten million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 197 240 320 384 394 480 591 640 788 960 985 1182 1576 1920 1970 2364 2955 3152 3940 4728 5910 6304 7880 9456 11820 12608 15760 18912 23640 25216 31520 37824 47280 63040 75648 94560 126080 189120 378240 317814113 635628226 953442339 1271256452 1589070565 1906884678 2542512904 3178141130 3813769356 4767211695 5085025808 6356282260 7627538712 9534423390 10170051616 12712564520 15255077424 19068846780 20340103232 25425129040 30510154848 38137693560 40680206464 50850258080 61020309696 62609380261 76275387120 101700516160 122040619392 125218760522 152550774240 187828140783 203401032320 250437521044 305101548480 313046901305 375656281566 500875042088 610203096960 626093802610 751312563132 939140703915 1001750084176 1252187605220 1502625126264 1878281407830 2003500168352 2504375210440 3005250252528 3756562815660 4007000336704 5008750420880 6010500505056 7513125631320 8014000673408 10017500841760 12021001010112 15026251262640 20035001683520 24042002020224 30052502525280 40070003367040 60105005050560 120210010101120