Search a number
-
+
10300231320 = 23351713138543
BaseRepresentation
bin10011001011111000…
…10000111010011000
3222120211200222001220
421211330100322120
5132043324400240
64422025412040
7513151343631
oct114574207230
928524628056
1010300231320
114406237275
121bb563a020
13c81c69642
146d9d96888
154044155d0
hex265f10e98

10300231320 has 128 divisors (see below), whose sum is σ = 32968995840. Its totient is φ = 2565355520.

The previous prime is 10300231313. The next prime is 10300231327. The reversal of 10300231320 is 2313200301.

It is an interprime number because it is at equal distance from previous prime (10300231313) and next prime (10300231327).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10300231320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10300231327) 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, 247969 + ... + 286511.

It is an arithmetic number, because the mean of its divisors is an integer number (257570280).

Almost surely, 210300231320 is an apocalyptic number.

10300231320 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 10300231320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16484497920).

10300231320 is an abundant number, since it is smaller than the sum of its proper divisors (22668764520).

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

10300231320 is a wasteful number, since it uses less digits than its factorization.

10300231320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38705 (or 38701 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 10300231320 its reverse (2313200301), we get a palindrome (12613431621).

The spelling of 10300231320 in words is "ten billion, three hundred million, two hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 131 136 170 204 255 262 340 393 408 510 524 655 680 786 1020 1048 1310 1572 1965 2040 2227 2620 3144 3930 4454 5240 6681 7860 8908 11135 13362 15720 17816 22270 26724 33405 38543 44540 53448 66810 77086 89080 115629 133620 154172 192715 231258 267240 308344 385430 462516 578145 655231 770860 925032 1156290 1310462 1541720 1965693 2312580 2620924 3276155 3931386 4625160 5049133 5241848 6552310 7862772 9828465 10098266 13104620 15147399 15725544 19656930 20196532 25245665 26209240 30294798 39313860 40393064 50491330 60589596 75736995 78627720 85835261 100982660 121179192 151473990 171670522 201965320 257505783 302947980 343341044 429176305 515011566 605895960 686682088 858352610 1030023132 1287528915 1716705220 2060046264 2575057830 3433410440 5150115660 10300231320