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323071130100 = 223525320318939
BaseRepresentation
bin1001011001110001000…
…10100011100111110100
31010212220101022212111010
410230320202203213310
520243122202130400
6404230011312220
732225001203325
oct4547042434764
91125811285433
10323071130100
11115017259874
1252743a4b670
1324608863a94
14118cb26844c
15860cd6e450
hex4b388a39f4

323071130100 has 72 divisors (see below), whose sum is σ = 952389355680. Its totient is φ = 84526782080.

The previous prime is 323071130093. The next prime is 323071130119. The reversal of 323071130100 is 1031170323.

It is a super-2 number, since 2×3230711301002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10143570 + ... + 10175369.

It is an arithmetic number, because the mean of its divisors is an integer number (13227629940).

Almost surely, 2323071130100 is an apocalyptic number.

323071130100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

323071130100 is an abundant number, since it is smaller than the sum of its proper divisors (629318225580).

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

323071130100 is a wasteful number, since it uses less digits than its factorization.

323071130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20319009 (or 20319002 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The spelling of 323071130100 in words is "three hundred twenty-three billion, seventy-one million, one hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 53 60 75 100 106 150 159 212 265 300 318 530 636 795 1060 1325 1590 2650 3180 3975 5300 7950 15900 20318939 40637878 60956817 81275756 101594695 121913634 203189390 243827268 304784085 406378780 507973475 609568170 1015946950 1076903767 1219136340 1523920425 2031893900 2153807534 3047840850 3230711301 4307615068 5384518835 6095681700 6461422602 10769037670 12922845204 16153556505 21538075340 26922594175 32307113010 53845188350 64614226020 80767782525 107690376700 161535565050 323071130100