Search a number
-
+
10404222120 = 2333529332191
BaseRepresentation
bin10011011000010001…
…11101010010101000
3222212002101020122000
421230020331102220
5132301440101440
64440222331000
7515553300045
oct115410752250
928762336560
1010404222120
114459a04086
122024429a60
13c9a679766
14709b061cc
1540d607730
hex26c23d4a8

10404222120 has 128 divisors (see below), whose sum is σ = 35876736000. Its totient is φ = 2678780160.

The previous prime is 10404222119. The next prime is 10404222121. The reversal of 10404222120 is 2122240401.

It is an interprime number because it is at equal distance from previous prime (10404222119) and next prime (10404222121).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10404222093 and 10404222102.

It is not an unprimeable number, because it can be changed into a prime (10404222121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134776 + ... + 197415.

It is an arithmetic number, because the mean of its divisors is an integer number (280287000).

Almost surely, 210404222120 is an apocalyptic number.

10404222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10404222120 is an abundant number, since it is smaller than the sum of its proper divisors (25472513880).

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

10404222120 is a wasteful number, since it uses less digits than its factorization.

10404222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332240 (or 332230 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10404222120 its reverse (2122240401), we get a palindrome (12526462521).

The spelling of 10404222120 in words is "ten billion, four hundred four million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 29 30 36 40 45 54 58 60 72 87 90 108 116 120 135 145 174 180 216 232 261 270 290 348 360 435 522 540 580 696 783 870 1044 1080 1160 1305 1566 1740 2088 2610 3132 3480 3915 5220 6264 7830 10440 15660 31320 332191 664382 996573 1328764 1660955 1993146 2657528 2989719 3321910 3986292 4982865 5979438 6643820 7972584 8969157 9633539 9965730 11958876 13287640 14948595 17938314 19267078 19931460 23917752 28900617 29897190 35876628 38534156 39862920 44845785 48167695 57801234 59794380 71753256 77068312 86701851 89691570 96335390 115602468 119588760 144503085 173403702 179383140 192670780 231204936 260105553 289006170 346807404 358766280 385341560 433509255 520211106 578012340 693614808 867018510 1040422212 1156024680 1300527765 1734037020 2080844424 2601055530 3468074040 5202111060 10404222120