Search a number
-
+
121110122122010 = 257194113729161773
BaseRepresentation
bin11011100010011000100101…
…110011101100101100011010
3120212211000101122101212200222
4123202120211303230230122
5111333232012230401020
61105325115542400042
734336626504423410
oct3342304563545432
9525730348355628
10121110122122010
113565357267029a
12116bbb52a30022
1352768352b0148
1421c9a929a92b0
15e00543a88b25
hex6e2625cecb1a

121110122122010 has 128 divisors (see below), whose sum is σ = 268671153139200. Its totient is φ = 38375527956480.

The previous prime is 121110122122009. The next prime is 121110122122057. The reversal of 121110122122010 is 10221221011121.

It is a self number, because there is not a number n which added to its sum of digits gives 121110122122010.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 748561484 + ... + 748723256.

It is an arithmetic number, because the mean of its divisors is an integer number (2098993383900).

Almost surely, 2121110122122010 is an apocalyptic number.

121110122122010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121110122122010 is an abundant number, since it is smaller than the sum of its proper divisors (147561031017190).

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

121110122122010 is a wasteful number, since it uses less digits than its factorization.

121110122122010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175576.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 121110122122010 its reverse (10221221011121), we get a palindrome (131331343133131).

The spelling of 121110122122010 in words is "one hundred twenty-one trillion, one hundred ten billion, one hundred twenty-two million, one hundred twenty-two thousand, ten".

Divisors: 1 2 5 7 10 14 19 35 38 41 70 82 95 133 190 205 266 287 410 574 665 779 1330 1435 1558 2870 3895 5453 7790 10906 13729 27265 27458 54530 68645 96103 137290 161773 192206 260851 323546 480515 521702 562889 808865 961030 1125778 1132411 1304255 1617730 1825957 2264822 2608510 2814445 3073687 3651914 3940223 5628890 5662055 6147374 6632693 7880446 9129785 10694891 11324110 13265386 15368435 18259570 19701115 21389782 21515809 30736870 33163465 39402230 43031618 46428851 53474455 66326930 74864237 92857702 106948910 107579045 126021167 149728474 215158090 232144255 252042334 374321185 464288510 630105835 748642370 882148169 1260211670 1764296338 2220981517 4410740845 4441963034 8821481690 11104907585 15546870619 22209815170 31093741238 42198648823 77734353095 84397297646 91060242197 155468706190 182120484394 210993244115 295390541761 421986488230 455301210985 590781083522 637421695379 910602421970 1274843390758 1476952708805 1730144601743 2953905417610 3187108476895 3460289203486 6374216953790 8650723008715 12111012212201 17301446017430 24222024424402 60555061061005 121110122122010