Search a number
-
+
10311300300210 = 2357134603820559
BaseRepresentation
bin1001011000001100100101…
…1001000011110110110010
31100111202021020200000020220
42112003021121003312302
52322420020334101320
633532540154513510
72112652430262420
oct226031131036662
940452236600226
1010311300300210
113315aa82280a8
1211a6495735896
1359a4751860b0
142790d8d92110
1512d34970de40
hex960c9643db2

10311300300210 has 128 divisors (see below), whose sum is σ = 30464648847360. Its totient is φ = 2175095759616.

The previous prime is 10311300300163. The next prime is 10311300300221. The reversal of 10311300300210 is 1200300311301.

It is a super-2 number, since 2×103113003002102 (a number of 27 digits) contains 22 as substring.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10311300300210.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12155911 + ... + 12976469.

It is an arithmetic number, because the mean of its divisors is an integer number (238005069120).

Almost surely, 210311300300210 is an apocalyptic number.

10311300300210 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 10311300300210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15232324423680).

10311300300210 is an abundant number, since it is smaller than the sum of its proper divisors (20153348547150).

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

10311300300210 is a wasteful number, since it uses less digits than its factorization.

10311300300210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825192.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10311300300210 its reverse (1200300311301), we get a palindrome (11511600611511).

The spelling of 10311300300210 in words is "ten trillion, three hundred eleven billion, three hundred million, three hundred thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 455 546 910 1365 2730 4603 9206 13809 23015 27618 32221 46030 59839 64442 69045 96663 119678 138090 161105 179517 193326 299195 322210 359034 418873 483315 598390 820559 837746 897585 966630 1256619 1641118 1795170 2094365 2461677 2513238 4102795 4188730 4923354 5743913 6283095 8205590 10667267 11487826 12308385 12566190 17231739 21334534 24616770 28719565 32001801 34463478 53336335 57439130 64003602 74670869 86158695 106672670 149341738 160009005 172317390 224012607 320018010 373354345 448025214 746708690 1120063035 2240126070 3777033077 7554066154 11331099231 18885165385 22662198462 26439231539 37770330770 49101430001 52878463078 56655496155 79317694617 98202860002 113310992310 132196157695 147304290003 158635389234 245507150005 264392315390 294608580006 343710010007 396588473085 491014300010 687420020014 736521450015 793176946170 1031130030021 1473042900030 1718550050035 2062260060042 3437100100070 5155650150105 10311300300210