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300023210032 = 247131013595683
BaseRepresentation
bin1000101110110101100…
…01101110000000110000
31001200102010121012220221
410113122301232000300
514403421420210112
6345455002342424
730450566131150
oct4273261560060
91050363535827
10300023210032
1110626a30a347
124a1911baa14
13223a4897160
1410742264760
157c0e745e07
hex45dac6e030

300023210032 has 160 divisors (see below), whose sum is σ = 724663618560. Its totient is φ = 117167385600.

The previous prime is 300023210021. The next prime is 300023210033. The reversal of 300023210032 is 230012320003.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 300023209988 and 300023210015.

It is not an unprimeable number, because it can be changed into a prime (300023210033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52790263 + ... + 52795945.

It is an arithmetic number, because the mean of its divisors is an integer number (4529147616).

Almost surely, 2300023210032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300023210032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362331809280).

300023210032 is an abundant number, since it is smaller than the sum of its proper divisors (424640408528).

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

300023210032 is a wasteful number, since it uses less digits than its factorization.

300023210032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6171 (or 6165 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 300023210032 its reverse (230012320003), we get a palindrome (530035530035).

The spelling of 300023210032 in words is "three hundred billion, twenty-three million, two hundred ten thousand, thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 101 104 112 182 202 208 359 364 404 707 718 728 808 1313 1414 1436 1456 1616 2513 2626 2828 2872 4667 5026 5252 5656 5683 5744 9191 9334 10052 10504 11312 11366 18382 18668 20104 21008 22732 32669 36259 36764 37336 39781 40208 45464 65338 72518 73528 73879 74672 79562 90928 130676 145036 147056 147758 159124 253813 261352 290072 295516 318248 471367 507626 517153 522704 573983 580144 591032 636496 942734 1015252 1034306 1147966 1182064 1885468 2030504 2040197 2068612 2295932 3299569 3770936 4017881 4061008 4080394 4137224 4591864 6599138 7461779 7541872 8035762 8160788 8274448 9183728 13198276 14281379 14923558 16071524 16321576 26396552 26522561 28562758 29847116 32143048 32643152 52232453 52793104 53045122 57125516 59694232 64286096 104464906 106090244 114251032 119388464 185657927 206059897 208929812 212180488 228502064 371315854 412119794 417859624 424360976 742631708 824239588 835719248 1442419279 1485263416 1648479176 2678778661 2884838558 2970526832 3296958352 5357557322 5769677116 10715114644 11539354232 18751450627 21430229288 23078708464 37502901254 42860458576 75005802508 150011605016 300023210032