Search a number
-
+
10331000010 = 234541674643
BaseRepresentation
bin10011001111100011…
…01000110011001010
3222122222121011210000
421213301220303022
5132124214000020
64425045103430
7514004023362
oct114761506312
928588534700
1010331000010
114421642241
1220039b7b76
13c88450476
147000c59a2
15406e92090
hex267c68cca

10331000010 has 160 divisors (see below), whose sum is σ = 28887388992. Its totient is φ = 2647054080.

The previous prime is 10331000003. The next prime is 10331000059. The reversal of 10331000010 is 1000013301.

10331000010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103310000102 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10330999956 and 10331000001.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 2222749 + ... + 2227391.

Almost surely, 210331000010 is an apocalyptic number.

10331000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10331000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14443694496).

10331000010 is an abundant number, since it is smaller than the sum of its proper divisors (18556388982).

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

10331000010 is a wasteful number, since it uses less digits than its factorization.

10331000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4770 (or 4761 counting only the distinct ones).

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

Adding to 10331000010 its reverse (1000013301), we get a palindrome (11331013311).

The spelling of 10331000010 in words is "ten billion, three hundred thirty-one million, ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 67 81 82 90 123 134 135 162 201 205 246 270 335 369 402 405 410 603 615 670 738 810 1005 1107 1206 1230 1809 1845 2010 2214 2747 3015 3321 3618 3690 4643 5427 5494 5535 6030 6642 8241 9045 9286 10854 11070 13735 13929 16482 16605 18090 23215 24723 27135 27470 27858 33210 41205 41787 46430 49446 54270 69645 74169 82410 83574 123615 125361 139290 148338 190363 208935 222507 247230 250722 311081 370845 376083 380726 417870 445014 571089 622162 626805 741690 752166 933243 951815 1112535 1142178 1253610 1555405 1713267 1866486 1880415 1903630 2225070 2799729 2855445 3110810 3426534 3760830 4666215 5139801 5599458 5710890 8399187 8566335 9332430 10279602 12754321 13998645 15419403 16798374 17132670 25197561 25508642 25699005 27997290 30838806 38262963 41995935 50395122 51398010 63771605 76525926 77097015 83991870 114788889 125987805 127543210 154194030 191314815 229577778 251975610 344366667 382629630 573944445 688733334 1033100001 1147888890 1721833335 2066200002 3443666670 5165500005 10331000010