Search a number
-
+
120020010120 = 2334541903493
BaseRepresentation
bin110111111000111000…
…0000000010010001000
3102110210101211020020000
41233301300000102020
53431300110310440
6131045245203000
711446131152643
oct1576160002210
9373711736200
10120020010120
114699a19200a
121b316560460
13b4193a228a
145b47c74a5a
1531c6b09730
hex1bf1c00488

120020010120 has 160 divisors (see below), whose sum is σ = 413240085720. Its totient is φ = 31224683520.

The previous prime is 120020010119. The next prime is 120020010137. The reversal of 120020010120 is 21010020021.

It can be written as a sum of positive squares in 4 ways, for example, as 93735170244 + 26284839876 = 306162^2 + 162126^2 .

It is a super-3 number, since 3×1200200101203 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 318907 + ... + 584586.

Almost surely, 2120020010120 is an apocalyptic number.

120020010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120020010120 is an abundant number, since it is smaller than the sum of its proper divisors (293220075600).

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

120020010120 is a wasteful number, since it uses less digits than its factorization.

120020010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903557 (or 903544 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 120020010120 its reverse (21010020021), we get a palindrome (141030030141).

Subtracting from 120020010120 its reverse (21010020021), we obtain a palindrome (99009990099).

The spelling of 120020010120 in words is "one hundred twenty billion, twenty million, ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 41 45 54 60 72 81 82 90 108 120 123 135 162 164 180 205 216 246 270 324 328 360 369 405 410 492 540 615 648 738 810 820 984 1080 1107 1230 1476 1620 1640 1845 2214 2460 2952 3240 3321 3690 4428 4920 5535 6642 7380 8856 11070 13284 14760 16605 22140 26568 33210 44280 66420 132840 903493 1806986 2710479 3613972 4517465 5420958 7227944 8131437 9034930 10841916 13552395 16262874 18069860 21683832 24394311 27104790 32525748 36139720 37043213 40657185 48788622 54209580 65051496 73182933 74086426 81314370 97577244 108419160 111129639 121971555 146365866 148172852 162628740 185216065 195154488 222259278 243943110 292731732 296345704 325257480 333388917 365914665 370432130 444518556 487886220 555648195 585463464 666777834 731829330 740864260 889037112 975772440 1000166751 1111296390 1333555668 1463658660 1481728520 1666944585 2000333502 2222592780 2667111336 2927317320 3000500253 3333889170 4000667004 4445185560 5000833755 6001000506 6667778340 8001334008 10001667510 12002001012 13335556680 15002501265 20003335020 24004002024 30005002530 40006670040 60010005060 120020010120