Search a number
-
+
10334301020 = 22517195412957
BaseRepresentation
bin10011001111111100…
…01110101101011100
3222200012210212220122
421213332032231130
5132131040113040
64425243534112
7514044052331
oct114776165534
928605725818
1010334301020
11442349734a
122004b2a338
13c89037b24
14700704988
154073e51b5
hex267f8eb5c

10334301020 has 96 divisors (see below), whose sum is σ = 24240928320. Its totient is φ = 3677736960.

The previous prime is 10334301013. The next prime is 10334301041. The reversal of 10334301020 is 2010343301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 10334301020.

It is a congruent number.

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, 3493382 + ... + 3496338.

It is an arithmetic number, because the mean of its divisors is an integer number (252509670).

Almost surely, 210334301020 is an apocalyptic number.

10334301020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10334301020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12120464160).

10334301020 is an abundant number, since it is smaller than the sum of its proper divisors (13906627300).

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

10334301020 is a wasteful number, since it uses less digits than its factorization.

10334301020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3543 (or 3541 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 10334301020 its reverse (2010343301), we get a palindrome (12344644321).

The spelling of 10334301020 in words is "ten billion, three hundred thirty-four million, three hundred one thousand, twenty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 170 190 323 340 380 541 646 1082 1292 1615 2164 2705 2957 3230 5410 5914 6460 9197 10279 10820 11828 14785 18394 20558 29570 36788 41116 45985 50269 51395 56183 59140 91970 100538 102790 112366 174743 183940 201076 205580 224732 251345 280915 349486 502690 561830 698972 873715 955111 1005380 1123660 1599737 1747430 1910222 3199474 3494860 3820444 4775555 6398948 7998685 9551110 15997370 19102220 27195529 30395003 31994740 54391058 60790006 108782116 121580012 135977645 151975015 271955290 303950030 516715051 543910580 607900060 1033430102 2066860204 2583575255 5167150510 10334301020