Search a number
-
+
10431330120 = 2333531311569
BaseRepresentation
bin10011011011100000…
…10111011101001000
3222220222101110211000
421231300113131020
5132330410030440
64443031335000
7516332562111
oct115560273510
928828343730
1010431330120
114473239792
122031521460
13ca317b2b3
1470d561208
15410bae730
hex26dc17748

10431330120 has 128 divisors (see below), whose sum is σ = 35892864000. Its totient is φ = 2691947520.

The previous prime is 10431330079. The next prime is 10431330121. The reversal of 10431330120 is 2103313401.

10431330120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 10431330093 and 10431330102.

It is not an unprimeable number, because it can be changed into a prime (10431330121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122305 + ... + 189264.

It is an arithmetic number, because the mean of its divisors is an integer number (280413000).

Almost surely, 210431330120 is an apocalyptic number.

10431330120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10431330120 is an abundant number, since it is smaller than the sum of its proper divisors (25461533880).

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

10431330120 is a wasteful number, since it uses less digits than its factorization.

10431330120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311620 (or 311610 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10431330120 its reverse (2103313401), we get a palindrome (12534643521).

The spelling of 10431330120 in words is "ten billion, four hundred thirty-one million, three hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 31 36 40 45 54 60 62 72 90 93 108 120 124 135 155 180 186 216 248 270 279 310 360 372 465 540 558 620 744 837 930 1080 1116 1240 1395 1674 1860 2232 2790 3348 3720 4185 5580 6696 8370 11160 16740 33480 311569 623138 934707 1246276 1557845 1869414 2492552 2804121 3115690 3738828 4673535 5608242 6231380 7477656 8412363 9347070 9658639 11216484 12462760 14020605 16824726 18694140 19317278 22432968 28041210 28975917 33649452 37388280 38634556 42061815 48293195 56082420 57951834 67298904 77269112 84123630 86927751 96586390 112164840 115903668 144879585 168247260 173855502 193172780 231807336 260783253 289759170 336494520 347711004 386345560 434638755 521566506 579518340 695422008 869277510 1043133012 1159036680 1303916265 1738555020 2086266024 2607832530 3477110040 5215665060 10431330120