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20230000310322 = 232111910867494843
BaseRepresentation
bin1001001100110001010011…
…11110110111100000110010
32122121222011111121212012200
410212120221332313200302
510122422020034412242
6111005311151004030
74155366160266315
oct446305176674062
978558144555180
1020230000310322
11649a549864430
122328862209616
13b398b0a7630a
144dd1cc82897c
15251366e9604c
hex126629fb7832

20230000310322 has 96 divisors (see below), whose sum is σ = 50337748581120. Its totient is φ = 5807109425760.

The previous prime is 20230000310279. The next prime is 20230000310381. The reversal of 20230000310322 is 22301300003202.

It is a happy number.

20230000310322 is a `hidden beast` number, since 2 + 0 + 2 + 30 + 0 + 0 + 0 + 310 + 322 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20230000310295 and 20230000310304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40634233 + ... + 41129075.

It is an arithmetic number, because the mean of its divisors is an integer number (524351547720).

Almost surely, 220230000310322 is an apocalyptic number.

20230000310322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20230000310322 is an abundant number, since it is smaller than the sum of its proper divisors (30107748270798).

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

20230000310322 is a wasteful number, since it uses less digits than its factorization.

20230000310322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505748 (or 505745 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 20230000310322 its reverse (22301300003202), we get a palindrome (42531300313524).

The spelling of 20230000310322 in words is "twenty trillion, two hundred thirty billion, three hundred ten thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 198 209 342 418 627 1254 1881 3762 10867 21734 32601 65202 97803 119537 195606 206473 239074 358611 412946 494843 619419 717222 989686 1075833 1238838 1484529 1858257 2151666 2271203 2969058 3716514 4453587 4542406 5443273 6813609 8907174 9402017 10886546 13627218 16329819 18804034 20440827 28206051 32659638 40881654 48989457 56412102 84618153 97978914 103422187 169236306 206844374 310266561 620533122 930799683 1861599366 5377458881 10754917762 16132376643 32264753286 48397129929 59152047691 96794259858 102171718739 118304095382 177456143073 204343437478 306515156217 354912286146 532368429219 613030312434 919545468651 1064736858438 1123888906129 1839090937302 2247777812258 3371666718387 6743333436774 10115000155161 20230000310322