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300112202320 = 245717257122663
BaseRepresentation
bin1000101111000000001…
…01001100101001010000
31001200122100001111101121
410113200011030221100
514404112210433240
6345511502012024
730453026425660
oct4274005145120
91050570044347
10300112202320
11106305572597
124a1b6b77014
13223ba155508
141074ddcc1a0
157c1747404a
hex45e014ca50

300112202320 has 160 divisors (see below), whose sum is σ = 847641604608. Its totient is φ = 96465321984.

The previous prime is 300112202287. The next prime is 300112202389. The reversal of 300112202320 is 23202211003.

It is a super-2 number, since 2×3001122023202 (a number of 24 digits) contains 22 as substring.

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 = 300112202294 and 300112202303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2385309 + ... + 2507971.

Almost surely, 2300112202320 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 300112202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423820802304).

300112202320 is an abundant number, since it is smaller than the sum of its proper divisors (547529402288).

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

300112202320 is a wasteful number, since it uses less digits than its factorization.

300112202320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122957 (or 122951 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 300112202320 its reverse (23202211003), we get a palindrome (323314413323).

The spelling of 300112202320 in words is "three hundred billion, one hundred twelve million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 112 119 136 140 170 238 257 272 280 340 476 514 560 595 680 952 1028 1190 1285 1360 1799 1904 2056 2380 2570 3598 4112 4369 4760 5140 7196 8738 8995 9520 10280 14392 17476 17990 20560 21845 28784 30583 34952 35980 43690 61166 69904 71960 87380 122332 122663 143920 152915 174760 244664 245326 305830 349520 489328 490652 611660 613315 858641 981304 1223320 1226630 1717282 1962608 2085271 2446640 2453260 3434564 4170542 4293205 4906520 6869128 8341084 8586410 9813040 10426355 13738256 14596897 16682168 17172820 20852710 29193794 31524391 33364336 34345640 41705420 58387588 63048782 68691280 72984485 83410840 116775176 126097564 145968970 157621955 166821680 220670737 233550352 252195128 291937940 315243910 441341474 504390256 535914647 583875880 630487820 882682948 1071829294 1103353685 1167751760 1260975640 1765365896 2143658588 2206707370 2521951280 2679573235 3530731792 3751402529 4287317176 4413414740 5359146470 7502805058 8574634352 8826829480 10718292940 15005610116 17653658960 18757012645 21436585880 30011220232 37514025290 42873171760 60022440464 75028050580 150056101160 300112202320