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101320321310 = 25131922638209
BaseRepresentation
bin101111001011100101…
…0010110100100011110
3100200112012001121120222
41132113022112210132
53130001000240220
6114313530041342
710214545343525
oct1362712264436
9320465047528
10101320321310
1139a7375303a
1217777b79252
139729211160
144c925514bc
1529800e0e25
hex179729691e

101320321310 has 96 divisors (see below), whose sum is σ = 208100249280. Its totient is φ = 35302542336.

The previous prime is 101320321261. The next prime is 101320321321. The reversal of 101320321310 is 13123023101.

101320321310 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1013203213102 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12338486 + ... + 12346694.

It is an arithmetic number, because the mean of its divisors is an integer number (2167710930).

Almost surely, 2101320321310 is an apocalyptic number.

101320321310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101320321310 is an abundant number, since it is smaller than the sum of its proper divisors (106779927970).

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

101320321310 is a wasteful number, since it uses less digits than its factorization.

101320321310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8530 (or 8511 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 101320321310 its reverse (13123023101), we get a palindrome (114443344411).

The spelling of 101320321310 in words is "one hundred one billion, three hundred twenty million, three hundred twenty-one thousand, three hundred ten".

Divisors: 1 2 5 10 13 19 26 38 65 95 130 190 247 263 361 494 526 722 1235 1315 1805 2470 2630 3419 3610 4693 4997 6838 8209 9386 9994 16418 17095 23465 24985 34190 41045 46930 49970 64961 82090 94943 106717 129922 155971 189886 213434 311942 324805 474715 533585 649610 779855 949430 1067170 1234259 1559710 2027623 2158967 2468518 2963449 4055246 4317934 5926898 6171295 10138115 10794835 12342590 14817245 20276230 21589670 28066571 29634490 38524837 41020373 56133142 77049674 82040746 140332855 192624185 205101865 280665710 385248370 410203730 533264849 779387087 1066529698 1558774174 2666324245 3896935435 5332648490 7793870870 10132032131 20264064262 50660160655 101320321310