Search a number
-
+
106111060560140 = 225192314981482239
BaseRepresentation
bin11000001000000111101000…
…000100100100100100001100
3111220201010012020220002120012
4120020013220010210210030
5102402010423000411030
61013402425343012352
731231161666634106
oct3010075004444414
9456633166802505
10106111060560140
11308a04a2416219
12ba9904b59a0b8
1347292cb6249cc
141c2bb349b8576
15c402d39e5095
hex6081e812490c

106111060560140 has 96 divisors (see below), whose sum is σ = 246402293760000. Its totient is φ = 38204088037632.

The previous prime is 106111060560137. The next prime is 106111060560223. The reversal of 106111060560140 is 41065060111601.

It is a super-2 number, since 2×1061110605601402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106111060560097 and 106111060560106.

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, 39438860 + ... + 42043379.

It is an arithmetic number, because the mean of its divisors is an integer number (2566690560000).

Almost surely, 2106111060560140 is an apocalyptic number.

106111060560140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106111060560140 is an abundant number, since it is smaller than the sum of its proper divisors (140291233199860).

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

106111060560140 is a wasteful number, since it uses less digits than its factorization.

106111060560140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81482439 (or 81482437 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 32.

The spelling of 106111060560140 in words is "one hundred six trillion, one hundred eleven billion, sixty million, five hundred sixty thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 23 38 46 76 92 95 115 149 190 230 298 380 437 460 596 745 874 1490 1748 2185 2831 2980 3427 4370 5662 6854 8740 11324 13708 14155 17135 28310 34270 56620 65113 68540 130226 260452 325565 651130 1302260 81482239 162964478 325928956 407411195 814822390 1548162541 1629644780 1874091497 3096325082 3748182994 6192650164 7496365988 7740812705 9370457485 12140853611 15481625410 18740914970 24281707222 30963250820 35607738443 37481829940 48563414444 60704268055 71215476886 121408536110 142430953772 178038692215 230676218609 242817072220 279239633053 356077384430 461352437218 558479266106 712154768860 922704874436 1116958532212 1153381093045 1396198165265 2306762186090 2792396330530 4613524372180 5305553028007 5584792661060 10611106056014 21222212112028 26527765140035 53055530280070 106111060560140